When there is a flow in a rectangular channel with an infinite length, constant flow rate, and gradient, while headloss can be ignored, the flow will be uniform and steady at the downstream end of the channel. In hydraulics, a uniform flow refers to a situation where the flow characteristics remain constant along the flow direction.
On the other hand, non-uniform flow refers to a situation where the flow characteristics vary along the flow direction. In this context, since headloss is negligible, the rectangular channel will experience a uniform flow that is steady and uniform throughout the channel.
This is because there are no changes in elevation, width, or other parameters along the channel that can lead to changes in the flow characteristics such as flow velocity, discharge, and depth. Furthermore, since the length of the rectangular channel is infinite, it ensures that the flow remains uniform.
Finally, it is essential to note that while head loss may be negligible, it is still a critical parameter that influences the flow characteristics in a channel. Head loss is a reduction in hydraulic pressure due to friction, turbulence, or other factors, and ignoring it may not give accurate results, especially for practical hydraulic applications that involve real-life scenarios.
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The following parameters and conditions were submitted by the municipality to your firm. Your supervisor ha asked you to design the necessary components. Assume lypical values whenever values not provided Wastewater flow to the plant - 2.0 m/s Influent concentrations - BOD5: 200 mg/L; TSS: 110 mg/l There will be two parallel and similar circular primary clarifiers having removal efficiencies of 25% for BOD5 and 60% for TSS BOD removal efficiency in the only aeration tank is 85% 65% of effluent TSS contributes to eflluent BODS TSS removal efficiency in secondary clarifier - 80% Biomass concentration in the activated sludge system is 3000 mg/I Return sludge from secondary clarifier has a MLVSS 6000 mg/L-2 For the activated sludge system, calculate the following: (i) the effluent BODS (ii) the soluble BODs concentration in the activated sludge tank (iii) the mean cell retention time (iv) the aeration basin volume required
Activated sludge system is the process of treating wastewater in the presence of bacteria. The bacteria consume organic matter in the wastewater, and it is used to treat the wastewater.
Here, the following parameters and conditions are given: Wastewater flow to the plant - 2.0 m/s Influent concentrations - BOD5: 200 mg/L; TSS: 110 mg/l Two parallel and similar circular primary clarifiers having removal efficiencies of 25% for BOD5 and 60% for TSS.
BOD removal efficiency in the only aeration tank is 85% 65% of effluent TSS contributes to effluent BODS TSS removal efficiency in the secondary clarifier is 80% Biomass concentration in the activated sludge system is 3000 mg/I Return sludge from the secondary clarifier has a MLVSS 6000 mg/L-2.
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If the shear stress at an angle of 56 degrees
through the cross section of a timber beam (width 46
mm x breadth 46 mm) is 50
MPa, what is the axial tensile force applied in
kN?
Shear stress, τ = 50 MPaAngle of section θ = 56 degreesThe width of the timber beam = 46 mmThe breadth of the timber beam = 46 mmTo determine the axial tensile force applied in kN, we need to know the area of the cross-section of the timber beam. The area of a square cross-section is given as follows;
A = b²where;A is the area of the cross-section b is the breadth of the beam Therefore, the area of the cross-section of the timber beam is;A = 46 x 46A = 2116 mm²To convert mm² to m², we divide by 10⁶;A = 2116 / 10⁶A = 0.002116 m²Shear force in the beam;F = τ x A where;
F is the shear forceτ is the shear stress A is the area of the cross-section Therefore, the shear force is;F = 50 x 0.002116F = 0.1058 kNTo determine the axial tensile force applied in kN, we use the relationship between the axial tensile force and shear force as follows; Axial force, P = F x cotθ
where;P is the axial forceθ is the angle of section Therefore, the axial tensile force applied in kN is; P = 0.1058 x cot 56°P = 0.1058 x 0.5636P = 0.0596 kN Therefore, the axial tensile force applied in kN is 0.0596 kN, to three significant figures.
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Concealed spaces are allowed in: O Roofs O Floors O Concealed spaces are allowed in floors and roofs O Concealed spaces are never allowed in roofs or floors
Concealed spaces are allowed in floors and roofs. Concealed spaces are those that are enclosed or hidden from view by different structural elements such as walls, floors, and ceilings.
These areas are commonly used for a variety of purposes, including storing utility equipment, housing ductwork and piping, and providing access to electrical and mechanical systems. Concealed spaces are generally considered safe if they are designed, constructed, and maintained in accordance with applicable building codes and standards.
Roofs are one of the building areas where concealed spaces can be permitted. Roofs of various types can include a variety of concealed spaces, such as those in between the roofing and the insulation layers or those concealed by metal roofing sheets or tiles.
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5. You want a post bypass patient (78 kg) to exercise at a 3.5MET level.
a. At what speed do you set for a horizontal treadmill?
b. What grade is set for a speed of 2.1mi/hr ?
c. What resistance is set (kps) on a Standard Monark leg cycle ergometer ( 50 rev/min)?
d. What resistance (Force in Kg ) is set for a Monark upper body ergometer at 30rev/min ?
e. What is an appropriate stepping rate for a 8-inch step?
a) The speed you would set for a horizontal treadmill for a post bypass patient (78 kg) to exercise at a 3.5MET level is approximately 6.81 meters per minute.
b) The grade set for a speed of 2.1 miles per hour is approximately -0.0071, or a decline of 0.71 percent.
c) The resistance set on a Standard Monark leg cycle ergometer for a post bypass patient (78 kg) exercising at a 3.5MET level would be approximately 106.6 Newtons.
d) The resistance (force in kg) that you would set for a Monark upper body ergometer at 30 rev/min would be approximately 19.8 kg.
e) An appropriate stepping rate for an 8-inch step would be around 24 steps per minute.
a) In order to set the speed for a horizontal treadmill for a post bypass patient (78 kg) to exercise at a 3.5MET level, you need to use the equation METs = VO2 ÷ 3.5. By solving this equation for VO2, you get:VO2 = 3.5 × METsVO2 = 3.5 × 3.5VO2 = 12.25Now that you know the patient’s VO2, you can calculate their speed on a treadmill using the following equation:VO2 = (0.1 × S) + (1.8 × S × G) + 3.5Where S is the speed in meters per minute, and G is the treadmill’s gradient as a decimal. By rearranging this equation, you can solve for S:S = VO2 – (1.8 × S × G) – 3.5S = 12.25 ÷ (1.8 × 0) – 3.5S = 12.25 ÷ (1.8 × 0) – 3.5S = 6.81Therefore, the speed you would set for a horizontal treadmill for a post bypass patient (78 kg) to exercise at a 3.5MET level would be approximately 6.81 meters per minute.b) To find the grade set for a speed of 2.1 miles per hour, you can use the equation Grade = (Slope × 100) ÷ 5280 × 3.281, where Slope is the incline or decline of the treadmill in feet per mile. Since you don't know the slope, let's solve for the slope first:2.1 miles per hour is equal to 3.379 kilometers per hour (since 1 mile = 1.60934 kilometers).Therefore:S = 3.379 km/hrThen you can plug this into the speed equation to get:VO2 = (0.1 × S) + (1.8 × S × G) + 3.5Solving this equation for G:S = VO2 – (0.1 × S) – 3.5G = (VO2 – (0.1 × S) – 3.5) ÷ (1.8 × S)Now you can substitute in the values of VO2 and S you already know:VO2 = 12.25S = 3.379 km/hrG = (12.25 – (0.1 × 3.379) – 3.5) ÷ (1.8 × 3.379)G = -0.0071Therefore, the grade set for a speed of 2.1 miles per hour is approximately -0.0071, or a decline of 0.71 percent.c) In order to determine the resistance set on a Standard Monark leg cycle ergometer for a post bypass patient (78 kg) exercising at a 3.5MET level, you can use the equation:Power (Watts) = (2π × R × RPM) ÷ 60where R is the resistance in Newtons and RPM is the revolutions per minute. Let’s first convert 50 rev/min to radians per second:50 rev/min × (2π radians/rev) ÷ (60 seconds/min) = 5.236 radians/secondNow you can plug in the values for power and RPM that you know:Power (Watts) = 3.5 × 58.2 = 203.7 wattsR = (203.7 × 60) ÷ (2π × 5.236) = 106.6 NewtonsTherefore, the resistance set on a Standard Monark leg cycle ergometer for a post bypass patient (78 kg) exercising at a 3.5MET level would be approximately 106.6 Newtons.d) To calculate the resistance (force in kg) that you would set for a Monark upper body ergometer at 30 rev/min, you can use the equation:Power (Watts) = (2π × R × RPM) ÷ 60where R is the resistance in Newtons and RPM is the revolutions per minute. First, convert 30 rev/min to radians per second:30 rev/min × (2π radians/rev) ÷ (60 seconds/min) = 3.142 radians/secondThen plug in the values for power and RPM:Power (Watts) = 3.5 × 58.2 = 203.7 watts203.7 = (2π × R × 3.142) ÷ 60R = (203.7 × 60) ÷ (2π × 3.142)R = 194.2 NewtonsTo convert this to force in kilograms, you can use the equation 1 kg = 9.81 N:Force (kg) = 194.2 ÷ 9.81 = 19.8 kgTherefore, the resistance (force in kg) that you would set for a Monark upper body ergometer at 30 rev/min would be approximately 19.8 kg.e) An appropriate stepping rate for an 8-inch step would be around 24 steps per minute.
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Question 16 5 pts (Rational method) Time of concentration of a watershed is 30 min. If rainfall duration is 15 min, the peak flow is (just type your answer as 1 or 2 or 3 or 4 or 5): 1) CIA 2) uncertain, but it is smaller than CIA 3) uncertain, but it is greater than CIA, 4) 0.5 CIA 5) 2CIA
the correct answer is option 2) uncertain, but it is smaller than CIA.The Rational Method is a commonly used tool in hydraulic design for computing peak runoff rates for various return periods and design storms on small urban watersheds.
The formula for calculating the peak runoff is:
[tex]Q = CIA[/tex]
the time it takes a rainfall drop to travel from the furthest point in the watershed to the outlet. The time of concentration is calculated using several methods and is dependent on factors such as watershed slope, roughness, and size. The most common method used for estimating Tc is the Kirpich equation, which is:
[tex]Tc = 0.0078(L0.77)/S0.385[/tex]
To calculate the peak flow using the Rational Method, we need to know the runoff coefficient, rainfall intensity, and area of the watershed. In this question, we are given that the Tc of a watershed is 30 min and the rainfall duration is 15 min.
[tex]I = P/T[/tex]
we can calculate the peak flow using the Rational Method.
[tex]Q = CIAQ = C(0.5)A[/tex]
Therefore, we cannot determine the peak flow rate.
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Q: What are the four common allegations against defective work?
Q: What are the elements to an agreement? Name and explain them.
Q: There are two ways to start a mediation process, what are they? and explain the outcomes of each.
Q: What are some advantages of an alliance contracting type? mention 4 only.
Q: What are the four common allegations against defective work The four common allegations against defective work include: Design deficiencies: Design deficiencies often occur when a contractor or subcontractor fails to identify a problem with the plans or specifications.
If the contractor doesn't fix the issue or address it with the project owner, it can lead to major construction defects. Construction deficiencies: These are caused by subpar workmanship, use of low-quality materials, and construction methods that do not meet regulatory requirements. Subsurface deficiencies:
These include problems with soil, drainage, and issues related to site conditions, such as rock formations, groundwater, or unexpected underground infrastructure. Failure to meet contractual requirements: This includes cases where the contractor has failed to meet the agreed-upon terms and specifications of the contract.
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4. Local content is defined as benefit brought to a host nation through a) workforce development: employment and training local workforce, and b) supplier development: procuring supplies and services locally and developing local supplier capacity. Some international forms of contract used for the procurement of construction work have local content clauses requiring a minimum percentage of the project value to reflect local content. Discuss the benefits and disadvantages of having local content clauses in a construction contract for a construction project in a developing country
Local content clauses in a construction contract for a construction project in a developing country have both benefits and drawbacks.
A local content clause is a requirement in a contract that specifies a percentage of the project value that must be given to local contractors and suppliers.Benefits of local content clauses in a construction contract include the following:1. Employment and development of local workers: Hiring locals and training them in the skills needed for the job can help to enhance their employability and development.2.
Promotion of local companies: The use of local suppliers and contractors can promote the development of local companies and businesses.3. Development of local infrastructure: The use of local resources can enhance the development of local infrastructure.
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If a one-story F-2 building is surrounded and adjoined by public ways 65' in width the area is limited to:
a. 100 sq ft
b. 200 sq ft
c. The area is not limited
d. 200,000 sq ft
e. 2000 sq ft
When an F-2 building is surrounded and adjoined by public ways 65' in width, the area is limited to 2000 sq ft. F-2 building means an F occupancy building that is used for the storage and moderate hazard use of materials that are not included in other occupancy classifications. What is F-2 building An F-2 occupancy is an occupancy used for storage and moderate hazard use of materials that are not included in other occupancy classifications.
Such occupancy requires that the aggregate quantity of nonflammable or low flammable aerosol products in storage must not exceed 25 lb (11 kg) in a single smoke compartment of any size. All of the following conditions must be met for F-2 occupancy classification: In an F-2 occupancy, no materials in storage are defined as Class I or Class II water-reactive solids.
All solid materials in an F-2 occupancy that are stored on shelves must be located at least 2 inches (50 mm) away from walls.
In an F-2 occupancy, the maximum quantity of materials in storage must not exceed 1000 pounds (454 kg) per 100 square feet (9.29 m2) of storage area in any single smoke compartment, not including shelving.
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Artificial recharge techniques for underground water management
literature review
Artificial recharge is a technique used to supplement the natural replenishment of groundwater systems. It involves the deliberate recharge of water into aquifers, which can be achieved in a variety of ways.
1. Recharge Ponds: These are shallow basins filled with gravel and sand that allow surface water to percolate into the underlying aquifer.2. Injection Wells: These are deep wells that inject treated surface water or wastewater directly into the aquifer.3. Spreading Basins: These are large, shallow basins that allow surface water to and percolate into the underlying aquifer.4. Ditches and Furrows: These are channels dug into the ground that allow surface water to infiltrate the soil and recharge the aquifer.5. Recharge Trenches: These are trenches dug into the ground that allow surface water to percolate into the underlying aquifer.
In conclusion, the above-mentioned techniques are essential for groundwater management. They are cost-effective, efficient, and environmentally friendly. Artificial recharge techniques should be promoted as a strategy to manage underground water resources, especially in areas where there is a high demand for water.
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Discuss the importance of knowing the optimum water content and the maximum dry density in construction projects or works.
In construction projects, it is essential to have the correct water content and the maximum dry density. When creating soil, the maximum dry density and the optimum moisture content are critical values to ensure that the soil is appropriately compacted.
When the soil is compacted, it reduces the pore space in the soil, making it denser. Soil density is essential because it affects the soil's properties such as permeability, compressibility, and strength.
Soil can have different optimum moisture contents depending on the compaction effort. The optimum moisture content can be defined as the water content that provides the maximum dry density of soil.
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Calculate the time needed to burn Carry life particle of graphite (99.9% °C Punnits) in 12% oxygen stream if 900°c at I ate. for the high gas velocity and assumed that film diffusion does not offer any resistance Dato Radius = 12mm, bulk density = 2.49/cm³ reaction rate constant C=25cm/sec and R = 82.66 cm³ atm. Mol K
Therefore, the time needed to burn the Carry life particle of graphite in 12% oxygen stream at 900°C is approximately 3 hours.
Calculating the time to burn Carry life particle of graphiteTo calculate the time required for a particle of graphite to burn in a stream of oxygen.
The rate of reaction can be described by the following equation:
r = k * P * A
where
r is the rate of reaction,
k is the reaction rate constant,
P is the partial pressure of oxygen, and
A is the surface area of the particle.
At steady state, the rate of reaction is equal to the rate of mass transfer:
[tex]r = (4/3) * \pi * R^3 * \rho * Sh * (Cg - Cs)[/tex]
where
R is the particle radius,
ρ is the bulk density of the particle,
Sh is the Sherwood number,
Cg is the concentration of oxygen in the gas phase, and
Cs is the concentration of oxygen at the surface of the particle.
Assuming that film diffusion does not offer any resistance, the Sherwood number can be approximated as:
[tex]Sh = 2 + 0.6 * Re^(1/2) * Sc^(1/3)[/tex]
where
Re is the Reynolds number and
Sc is the Schmidt number.
Since the problem specifies a high gas velocity, we can assume that the flow is turbulent, use the following correlations for the Reynolds and Schmidt numbers
Re = (ρ * u * Dp) / μ
Sc = μ / (ρ * D)
With the given data, we can calculate the Reynolds and Schmidt numbers as
[tex]Re = (2.49 g/cm^3 * 25 cm/s * 2 * 12 mm) / (1.84 x 10^-4 g/cm s) = 1.6 x 10^6[/tex]
D = [tex]0.21 cm^2[/tex]/s (from gas phase data at 900°C)
[tex]Sc = (1.84 x 10^-4 g/cm s) / (2.49 g/cm^3 * 0.21 cm^2/s)[/tex]
≈ 3.5
To calculate the Sherwood number as
[tex]Sh = 2 + 0.6 * (1.6 x 10^6)^(1/2) * (3.5)^(1/3)[/tex]
≈ 202
Calculate the concentration of oxygen in the gas phase using the partial pressure of oxygen
P = 0.12 atm (given)
Cg = P / (R * T) = 0.12 / (82.66 [tex]cm^3[/tex] atm/mol K * 1173 K)
≈ 8.8 x [tex]10^-7 mol/cm^3[/tex]
Assume that the concentration of oxygen at the surface of the particle is zero (i.e., all of the oxygen reacts with the particle).
Substitute all of these values into the rate of reaction equation, we have:
[tex]r = (4/3) * \pi * (1.2 cm)^3 * 2.49 g/cm^3 * 202 * (8.8 x 10^-7 mol/cm^3)[/tex]
≈ 0.00083 g/s
Now, using the rate of reaction, calculate the time required for the particle to burn completely using the mass of the particle
[tex]m = (4/3) * \pi * (1.2 cm)^3 * 2.49 g/cm^3 * 0.999[/tex] ≈ 8.9 g
t = m / r ≈ 1.07 x[tex]10^4[/tex] s ≈ 3 hours
Therefore, the time needed to burn the Carry life particle of graphite in 12% oxygen stream at 900°C is approximately 3 hours.
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b) A tender for the construction and completion of a four storey office building has recently been closed. On the closing date three contractors submitted their tenders. Assuming that you have been asked to evaluate these tenders, outline the content of the tender evaluation report. You may make any assumptions if necessary.
When evaluating a tender for the construction and completion of a four Storey office building, the tender evaluation report includes a detailed description of the tendering process.
along with the requirements that were outlined in the tender. It should also contain a brief profile of each of the three contractors that submitted tenders.
The evaluation report should include an evaluation of each tender based on a predetermined set of criteria, such as price, quality, and timeline. The evaluation should be based on objective criteria and be done in an unbiased manner.
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9. An irrigation engineer, in his study, was able to establish that the irrigation requirement of crop XYZ is 6.5 mm/day. If the root zone depth was estimated at 2 in. on the average, what should be be the design discharge of a canal to be able to deliver the 5-day requirement of a 10-ha farm in 24 hours?
a. 31.62 1ps
b. 47.62 Ips
c. 57.62 1ps
d. 37.622ps
The answer is option C. 57.62, Determination of design discharge In determining the design discharge of a canal for the irrigation of a 10-ha farm with a 5-day irrigation requirement.
Step 1: We are given the irrigation requirement of crop XYZ as 6.5 mm/day. The 5-day irrigation requirement is thus
[tex]6.5 × 5 = 32.5 mm[/tex].
Step 2: From the given data, we know that the farm has an area of 10 hectares.1 hectare is equal to 10,000 m².The volume of water required to irrigate this farm is equal to the product of the area of the farm and the 5-day irrigation requirement.
[tex]100,000 × 32.5 = 3,250,000 m³.[/tex]
Step 3: .The volume of water required to irrigate 1 hectare with this depth of water is [tex]254 × 10,000 = 2,540,000 litres.[/tex] Assuming the water has a density of 1 kg/L and the specific gravity is 1.
Discharge rate =[tex]2,540,000 ÷ 24 ÷ 3600 = 29.12 L/s[/tex]
Discharge rate = [tex]29.12 ÷ 1000 = 0.02912 m³/s[/tex]
Step 4: Calculation of the required discharge
= [tex]0.02912 ÷ 0.8 = 0.0364 m³/s[/tex]
The answer is rounded up to two decimal places and expressed in International system units per second. The correct option is C. [tex]57.62[/tex].
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A construction company buys a truck for $25,000. Salvage value after useful life of 5 years is $15,000. 2. Use linear depreciation. What is depreciation value for the second year? a. $14,000 b. $1200 C. $2000 d. $8000 3. Use MACRS. What is depreciation value for the third year? a. $6,400 b. $4,800 C. $4,000 d. $3,000
A construction company purchases a truck for $25,000. The truck's useful life is five years, and its salvage value is $15,000 at the end of the five-year period. Linear Depreciation: The calculation of depreciation using a straight-line depreciation method is very straightforward.
Each year, the asset will depreciate by an equal amount until it reaches the salvage value. The truck's initial value is $25,000, and the salvage value is $15,000. Therefore, the depreciation value would be $2,000 per year for five years. Depreciation value for the second year is $2,000, which is the same as the amount calculated for the first year. MACRS Depreciation:
MACRS (Modified Accelerated Cost Recovery System) is a technique that accelerates the depreciation process for assets. Depreciation is more rapid during the first few years, and it then slows down over time. Depreciation for a period is determined by multiplying the asset's beginning-of-the-year book value by a depreciation percentage.
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What are the points of convergence of solid and hazardous waste
in the approaches to waste management in the united states?
The management of solid and hazardous waste in the United States involves the convergence of several approaches. These approaches encompass the handling, treatment, and disposal of waste materials.
The waste management approaches in the US are governed by federal laws and regulations aimed at reducing the environmental impact of waste materials and safeguarding public health. The points of convergence of solid and hazardous waste management in the United States include the following:
1. Source reduction: This approach involves the minimization of waste generation at the source. The approach aims to reduce the amount of waste materials produced by individuals, households, and businesses.
2. Recycling: Recycling is a process that involves the recovery of valuable materials from waste materials. The process helps to reduce the amount of waste materials disposed of in landfills or incinerators.
3. Composting: Composting is the biological decomposition of organic waste materials. The process results in the production of organic matter that can be used as a soil amendment.
4. Incineration: Incineration is a process that involves the burning of waste materials. The process helps to reduce the volume of waste materials and produces energy.
The convergence of these approaches helps to reduce the environmental impact of waste materials and safeguard public health.
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Annotate each sketch. Write up a short description of the commands used to generate the geometry. Explain what was required, how you accomplished it and comment on the results. Use third person passive voice Use capital bold fonts for the system commands. Try making these parts on your own. They can be constructed using the tools we have introduced so far. Don't worry about the exact dimensions, just sketch shapes that look something like the parts shown below. Hints: 1. Sketch an " L " shape on the workplane. 2. Extrude. 3. Sketch a circle. 4. Extrude, cutout. 5. Repeat 3 and 5 on other face. Hints: 1. Sketch block, Extrude. 2. Sketch in place on any face. 3. Sketch a circle. 4. Extrude, cutout. 5. Repeat 2 and 3 on other face. Hints: 1. Sketch an outer shape on the workplane, including the "feet". 2. Sketch cutout shape place. Extrude both boundaries. 3. Sketch in place on angled face. 4. Sketch large circle and 4 smaller ones. 5. Extrude, Cutout, picking all 5 circles. 6. Check length of arrow on Extrude. Sketch in place of top of foot, draw a rectangle to cut out between feet, sketch circles. Exturde, Cutout 7. Extrude, cutout. 8. Repeat 2 and 3 on other face.
The task involves annotating and describing the commands used to generate geometry for three different parts. The parts are created using basic tools and techniques, including sketching shapes, extruding, cutting, and repeating steps on different faces.
The goal is to create parts that resemble the ones shown in the sketches, without worrying about precise dimensions. The commands used are written in third person passive voice and highlighted in capital bold fonts.
For the first part, an "L" shape is sketched on the workplane and then extruded to create a three-dimensional object. A circle is sketched and extruded, and then a cutout is performed. This process is repeated on another face.
For the second part, a block is sketched and extruded. Then, a sketch is created in place on any face, followed by sketching a circle. The circle is extruded and cutout, and this sequence is repeated on the other face.
For the third part, an outer shape with "feet" is sketched on the workplane. A cutout shape is sketched in place, and both boundaries are extruded. A sketch is made in place on an angled face, and a large circle and four smaller ones are sketched. These circles are then extruded and cutout. The length of an arrow on an extrude is checked. Another sketch is created in place at the top of the foot, and a rectangle is drawn to cut out between the feet. Circles are sketched, and an extrude and cutout operation is performed. Finally, extrude and cutout are repeated, and steps 2 and 3 are repeated on the other face.
The described commands and techniques help in creating the desired geometry for each part, resembling the sketches provided. The process involves sketching, extruding, and cutting to shape the parts accordingly.
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a Crude oil is being pumped through a long distance pipeline from an oil field in Sarir in Eastern Libya to a port at Marsa el Harlga. Sarir is at 1000m above sea level and the pipeline length is 1450km. The pipeline has a diameter of 1,2m and carries crude oil with a density of 895kg/m3 at a velocity of 0,4m/s to the port. Assuming no friction, and that the oil is stationary at the oil field, whatexcess work could be done by the oil passing through a turbine?
The excess work done by the oil passing through a turbine is 3.05 x 10⁵ W.
Given:
Height difference, h = 1000 m
Density of crude oil, ρ = 895 kg/m³
Length of the pipeline, L = 1450 km = 1450000 m
Diameter of the pipeline, d = 1.2 m
Velocity of oil, v = 0.4 m/s
To find:
Excess work done by the oil passing through a turbine.
The energy equation is given as,
E₁ + KE₁ + PE₁ = E₂ + KE₂ + PE₂
where
E = pressure energy
KE = kinetic energy
PE = potential energy
Here, the frictional losses are not given. Hence, we can assume that there are no losses of energy. Hence, the energy at A and B can be considered the same.
E₁ = E₂
and
KE₁ = KE₂
and
PE₁ = PE₂
Therefore, we can use Bernoulli’s equation to calculate the pressure difference between A and B.
i.e.,
P₁ + 1/2 ρv₁² + ρgh₁ = P₂ + 1/2 ρv₂² + ρgh₂
where
P₁ = pressure at A = Atmospheric pressure
P₂ = pressure at B
v₁ = velocity of crude oil at A = 0m/s
v₂ = velocity of crude oil at B
h₁ = height of A = 1000 m
h₂ = height of B = 0m
We know that the density of crude oil, ρ = 895 kg/m³
v₁ = 0 m/s
v₂ = 0.4 m/s
P₁ + 0 + ρgh₁ = P₂ + 1/2 ρv₂² + ρgh₂
Pressure difference,
P₂ - P₁ = ρg (h₁ - h₂) + 1/2 ρv₂²
P₂ - P₁ = 895 x 9.8 x (1000 - 0) + 1/2 x 895 x 0.4²
P₂ - P₁ = 8530200 Pa
a) When the oil passes through the turbine, the excess work done by the oil can be calculated as,
Excess work done by the oil = Work done by the oil on the turbine - Work done on the oil by the pump
Given,
Diameter of the pipe, d = 1.2 m
Velocity of the oil, v = 0.4 m/s
Hence, the volumetric flow rate of the oil,
Q = A × v
Where,
A = Area of the pipe
= π/4 × d²
= π/4 × (1.2)²
Q = π/4 × (1.2)² × 0.4
Q = 0.452 m³/s
Mass flow rate of oil, m = ρQ
= 895 x 0.452
= 404.34 kg/s
Let the pump power, P = Pp
and the turbine power, Pt
Therefore,
Excess work done by the oil = Work done by the oil on the turbine - Work done on the oil by the pump
Excess work done by the oil = Pt - Pp
For an incompressible fluid like crude oil, the power can be given as,
P = Q x ρ x g x H
P = ρQH
g = 9.8 m/s²
Therefore,
P = ρQgH
Pump work done, Pp = mgh₁
= 404.
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A vertical cut 4.4 m high is excavated in saturated intact clay. The clay is isotropic and has an undrained shear strength of 37.4 kN/m² and a saturated unit weight of 17 kN/m³. Assume that a vertical, air-filled tension crack forms behind the cut at a certain (unspecified) distance to its crest, with a depth of 1.04 m. For the critical slope angle, determine the factor of safety of the vertical cut, under short-term (end of construction) conditions
Type your answer in three decimal places. What value of this factor of safety will result if the lower part of the cut is then submerged by fresh water to a depth of 1.08 m, the tension crack remaining
free of water?
Type your answer in three decimal places
Given data:Height of vertical cut = 4.4m Depth of air-filled tension crack = 1.04 mUndrained shear strength of clay = 37.4 kN/m²Saturated unit weight of clay = 17 kN/m³For short term end of construction conditions.
The factor of safety of the vertical cut is given by;{tan φ'}/{1 - u}, where φ' is the effective angle of shearing resistance and u is the pore water pressure coefficient.The effective angle of shearing resistance,φ' = φ + δWhere, φ is the angle of internal friction and δ is the angle of dilation.
For saturated clay, the angle of dilation, δ = 0Therefore, the effective angle of shearing resistance, φ' = φ = 37.4 kN/m²And the value of u = 0.Using the vertical slice method, the total normal force,[tex]N = 17 kN/m³ × 4.4 m = 74.8 kN/m the height of water in the tension.
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1 .tell the difference between profit and cashflow 2.calculate the profit and cashflow Pachete with loans Yes 2001 Freight pertinente 4.300.000 Visage 1.500.000 depreciation 1,000,000 Intens 500,00 Capital rераутен 2.000.000 dow 3.tell the structure of cost on shipowners' account under the time-charter 4. how to improve the ship's productivity
Difference between profit and cashflow. Profit is the difference between revenue and expenses of a business, while cash flow is the actual amount of cash that flows in and out of a business.
In other words, profit is an accounting concept, while cash flow is a real concept.2. Calculation of profit and cashflow, Calculation of profit. Profit = Revenue - Expenses
= 4,300,000 - (1,500,000 + 1,000,000 + 500,000 + 2,000,000)
= -1,700,000Calculation of cash flow.
Cash flow = Profit + Depreciation
= -1,700,000 + 1,000,000
= -700,000.
Note that the profit is negative, which means that the company has not made a profit and has instead made a loss of[tex]$1,700,000[/tex].
The cash flow is also negative, which means that the company has spent more than it has earned.3. Structure of cost on shipowners' account under time charter. The cost structure on a shipowner's account under a time charter is as follows. Operating expenses (OPEX) + Voyage expenses (VOYEX) + Capital expenses (CAPEX) = Total cost.
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Define the Economics which are related with consumption, and name the data required to prepare the cost estimate.
Economics related to consumption is also known as consumer economics, which is concerned with the ways in which households allocate their resources, including time and money, in the satisfaction of their wants and needs.
This branch of economics deals with the problems of resource allocation among consumers with limited resources. It attempts to provide an understanding of the consumer’s decision-making process when choosing between different goods and services. The data required to prepare the cost estimate are as follows:
1. Price data: The price data is the cost of inputs and other resources required to produce the product or service that is being analyzed.2. Historical data: This data is used to determine past trends and patterns that may help in forecasting future demand and costs.
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Wastewater Question
You are tasked to design a membrane system for a small community. The required flow rate is 0.100 m^3/s. The temperature of the water ranges from 5 degrees C in the winter to 25 degrees C in the summer. The chosen membrane has a maximum TMP of 200kPa and a membrane resistance of 4.2*10^12 m^-1. Based on previous experience you know that the operating TMP should be no more than 75% of the maximum TMP specification.
a. What is the required membrane surface area for this application?
b. How much fouling resistance can be added to the membrane before the maximum pressure (200kPa) is reached?
c. What % of total resistance is contributed by the fouling in part b?
a. Required membrane surface area:The volume of water flowing in 1 second = 0.1 m³/s.We can calculate the required membrane surface area by using the following equation: Surface Area = (V/Q) x (1/(1 - Rf/Rm)),
Surface Area = (0.1/0.1) x (1/(1 - 0)) = 1 m²b. Maximum fouling resistance :Fouling Resistance = ((TMP x Rm)/Q) - RmWe can rearrange this equation to calculate the maximum fouling resistance as follows:
Therefore, the maximum fouling resistance is 14.999999999999998 m^-1.c. % of total resistance contributed by fouling in part b:
Fouling Resistance = 14.999999999999998 m^-1Membrane Resistance = 4.2 x 10^12 m^-1Total Resistance (Rt) = Rf + Rm = 4.2 x 10^12 + 14.999999999999998 = 4.200000000015 m^-1
The % of total resistance contributed by fouling is calculated using the following formula:
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1. An amortization schedule details how loan payments are divided between interest and principal and how the principal is reduce over time a. True b.False 2. Listen For a home building company that receives a single payment at the completion of the project, the maximum cash requirement occurs just before the payment is received a.True b. False
1. True An amortization schedule details how loan payments are divided between interest and principal and how the principal is reduced over time.
The schedule is a table that shows the balance of the loan at the beginning of each period, the total payment amount, the portion of the payment that goes toward interest, the portion that goes toward principal, and the balance of the loan at the end of the period.
The amortization schedule allows borrowers to see exactly how much they will pay in interest over the life of the loan and how much they will owe at any point in time.2. True For a home building company that receives a single payment at the completion of the project, the maximum cash requirement occurs just before the payment is received.
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(b) Conduct a dimensional analysis to obtain the pi groups required when analysing pressure drop in pipe flow systems and/explain how engineers use these dimensionless groups to analyse pipe flow systems. (c) Oil with a density of 950 kg/m³ and viscosity of 1 x 10-2 Pa.s flows through a 0.2 m diameter, 500 m long pipe on a downware incline of 1m in 50m in the flow direction. The roughness ratio of the pipe is ε/D = 0.0002 and the following flanged fittings are incorporated: one fully open swing check valve and five 90° long radius elbows.
(i) Determine the pressure differential required to pump fluid through the pipeline if the desired volumetric flow rate is 150 L/s
(ii) Determine the volumentric flow rate that would naturally result from the head difference across the pipeline alone, i.e. without any pump.
(b) Pi groups are the dimensionless parameters that are created from fundamental dimensions of the physical quantities used in describing the pipe flow systems. Dimensional analysis is an important tool for solving many engineering problems. The dimensional analysis is a technique used to reduce the number of variables in an equation.
Reynold's number (Re) = ρuD/µ
Friction factor (f) = ∆P/(1/2ρu²L/D)
Head loss coefficient (K) = ∆p/(1/2ρv²)
These dimensionless groups are used by engineers to analyze pipe flow systems. Engineers use these groups to understand the relationship between the different variables that affect the flow of fluid in a pipe.
(c) (i) We know that
Q = 150 L/s
D = 0.2 m
L = 500 m
ε/D = 0.0002
ρ = 950 kg/m³
µ = 1 x 10^-2 Pa.s
g = 9.81 m/s²
θ = 1/50
(ii) The volumetric flow rate that would naturally result from the head difference across the pipeline alone, i.e. without any pump is given by Bernoulli’s equation.
A₁ = πD₁²/4
= π(0.2)²/4
= 0.0314 m²
A₂ = πD₂²/4
= π(0.2004)²/4
= 0.0315 m²
v₁ = Q/A₁
v₂ = Q/A₂
The pressure differential required to pump fluid through the pipeline is given by:
∆P = P₁ - P₂
= (P₁ - ρgh) - P₂
Let P₁ = P and P₂ = 0
∆P = P - ρgh
= P - 950 × 9.81 × 10
= P - 931635
P/ρ + v₁²/2g = P/ρ + v₂²/2g
P = ρg(v₂² - v₁²)/2
= 950 × 9.81(0 - 5.96²)/2
= -171867.6 Pa.
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(30 pts.) You are tasked with optimizing a methanol combustion chamber, and thus need to determine what your current product stream looks like. You are provided the following notes from a colleague who recently moved to another position: The reactor inlet contains 75 mol/h methanol and 65% excess O 2. Both complete and incomplete combustion occur in the reactor. A methanol conversion of 72% has been observed in previous analyses of this chamber, and it is expected that 82% of the methanol reacted forms CO2. Using the atomic species approach, determine the outlet molar flowrates of all species exiting the reactor.
The outlet molar flow rates from the reactor are:
CO2 = 32.55 mol/h
CO = 8.97 mol/h
H2O = 12.88 mol/h
The reaction equation for the complete combustion of methanol is:
CH3OH + 1.5 O2 → CO2 + 2 H2O
and for incomplete combustion, it is:
CH3OH + xO2 → CO + H2O
Methanol is commonly used as a primary hydrocarbon feed in various synthesis processes. To optimize a methanol combustion chamber, it is necessary to determine the current product stream.
In this particular case, the reactor inlet contains 75 mol/h of methanol with 65% excess O2. The methanol conversion rate is 72%, and 82% of the reacted methanol forms CO2.
Applying the atomic species method, the mole balances for each of the elements involved in the combustion reaction can be written as follows:
C: 1(CH3OH) + 1/2(3O2) → 1(CO2) + 0.5(2H2O) + x(CO)
H: 4(CH3OH) + 2(3O2) → 0(CO2) + 2(2H2O) + x(CO)
O: 2(3O2) → 2(CO2) + x(CO)
There are three unknowns (the number of moles of CO, CO2, and H2O formed) and three equations. By solving these equations, the molar flow rates of each species leaving the reactor can be determined.
Using a solver, the outlet molar flow rate of CO2 is calculated to be 32.55 mol/h, the outlet molar flow rate of CO is 8.97 mol/h, and the outlet molar flow rate of H2O is 12.88 mol/h. Therefore, the outlet molar flow rates of all species leaving the reactor are as follows:
CO2 = 32.55 mol/h
CO = 8.97 mol/h
H2O = 12.88 mol/h
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a) Two of the most common types of tender in the local construction industry are the open and direct negotiated tender. Make a comparison of these two types of tender in term of the followings:
i. Participation of contractors in the tender exercise
ii. Weaknesses of the tender types
In the local construction industry, two of the most common types of tender are open and direct negotiated tender. The two types of tenders differ in the way they allow contractors to participate and their weaknesses.
i. Participation of contractors in the tender exercise Open tender is a type of tender in which any contractor can participate. It is open to all qualified bidders.
ii. Weaknesses of the tender types Open tender is sometimes criticized for being slow, costly, and inefficient. It is slow because the tender process can take a long time. It is costly because contractors have to spend a lot of money preparing their bids. It is inefficient because the tender process can result in a lot of paperwork, and it can be difficult for contractors to follow all the procedures. Direct negotiated tender, on the other hand, can be criticized for not being transparent. Since the client selects the contractors that can participate, it can create a perception of favoritism.
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A 12 M Simply Supported Beam Is Loaded With 8 KN Concentrated Load 9m From The Left End. (A) Determine The Maximum Deflection. (B) Determine The Location (M) Of Maximum Deflection From The Left Support
The maximum deflection is 20.6 mm and the location (m) of maximum deflection from the left support is 7.2 m.A 12 m simply supported beam is loaded with 8 kN concentrated load 9 m from the left end.
A) Maximum deflection: The formula for calculating the maximum deflection of a beam loaded by a concentrated load at a specific point can be determined as,
[tex]δmax = WL3 / (48EI)[/tex]Where,W = Concentrated loadL = Length of the beamE = Modulus of elasticityI = Moment of inertia of the beam
The moment of inertia of the beam, [tex]I = (bd3)/12[/tex], where b = breadth and d = depth of the beam.The modulus of elasticity, E = σ/ε, where σ = stress and ε = strain. The maximum deflection of the beam is,
[tex]δmax = (8 x 103) x (9 x 103)3 / (48 x 200 x 109 x (100 x 10-6 x 412.5 x 10-6))δmax = 20.6 mm[/tex]
B) The position of the maximum deflection from the left support is given as
,[tex]x = (5L± √(5L2 - 4l2))/(2)[/tex]Where,L = Length of the beaml = Length from the left support
The value of l is taken as 9 m from the left end of the beam.
Substituting the given values,[tex]x = (5 x 12 ± √(5 x 122 - 4 x 92))/(2)x = 7.2 m[/tex]from the left support.
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Which of the following statements about California Ranchos is NOT true?
Ranchos were land grants by the Spanish and Mexican governments prior to California statehood.
Ranchos were surveyed using the same grid method as the PLSS.
Ranchos were preserved by the Treaty of Guadalupe Hidalgo.
Sacramento is located inside the rancho granted to John Sutter.
The statement that is NOT true about California Ranchos is "Ranchos were surveyed using the same grid method as the PLSS."Ranchos were surveyed using the same grid method as the PLSS is NOT true about California Ranchos.
California Ranchos are huge pieces of land given by the Spanish and Mexican governments before California statehood. These ranchos were given to the Californians for raising animals, cattle and horses. California Ranchos were situated in central and southern California, primarily in the early-to-mid 19th century.
The Treaty of Guadalupe Hidalgo, signed in 1848, ended the Mexican-American War, acknowledged US ownership of Texas, and ceded California, Nevada, Utah, Arizona, New Mexico, and parts of Colorado, Wyoming, Kansas, and Oklahoma to the United States. It is untrue that Ranchos were surveyed using the same grid method as the PLSS.
The public land survey system (PLSS) was created to manage lands granted to the US Government as a result of the Louisiana Purchase in 1803 and the Mexican-American War. It was not used for surveying Ranchos. The California State Legislature passed an act in 1850, giving the US federal government control over all Ranchos, in response to the Treaty of Guadalupe Hidalgo.
Sacramento is situated inside the rancho granted to John Sutter and was the land on which gold was first discovered, resulting in the California Gold Rush.
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A beam 300 mm wide x 450 m deep is simply supported on a span of 6.0 m.
Given:
Superimposed uniformly distributed:
Dead Load 16 kN/m
Live Load 18 kN/m
Concrete, fc 30 MPa
Steel yield strength, fy= 415 MPa
Modulus of Elasticity Steel 200 GPa
Unit weight of concrete = 23.5 kN/m²
Depth to the centroid of tension reinforcement = 64 mm from the bottom
Compute the nominal bending capacity of the section if the tension reinforcement consists of 3-25 mm dia. bars. (kN-m)
Tip: avoid rounding off the values during the solution, use shift store function of calculators to get the correct answer in 3 decimal places.
Nominal bending capacity of the section The nominal bending capacity of the section can be calculated using the below-given steps: Step 1: Calculation of effective depth Effective depth of the beam is given by: d = overall depth - (diameter of bars + clear cover) = 450 - (25 + 64) = 361 mm.
Step 2: Calculation of steel areaA rea of steel, Ast = π/4 × d² × number of barsAst = π/4 × (25)² × 3Ast = 1472.55 mm²
Step 3: Calculation of maximum bending moment Maximum bending moment is given by;Mmax = Wl² / 8Mmax = (16+18) × 6² / 8Mmax = 81 kN-m
Step 4: Calculation of limiting depth of the neutral axis For Fe 415 grade steel, the limiting depth of the neutral axis is given by;0.48 ≤ x / d ≤ 0.67By putting the values in the above formula, we get;
0.48 ≤ x / 361 ≤ 0.67x ≤ 217.08 mm & x ≥ 241.87 mm The limiting depth of the neutral axis is between 217.08 and 241.87 mm.
Step 5: Calculation of area of steel required The area of steel required is given by;Ast = 0.87fy (x - 0.42y) / (fyd)Ast = 0.87 × 415 × (x - 0.42 × 361) / (415 × 361)Ast = 1251.28 mm²
Step 6: Calculation of moment of resistance The moment of resistance, MR is given by; MR = 0.87fyAst (d - 0.42x)MR = 0.87 × 415 × 1472.55 × (361 - 0.42 × 241.87) / 10^6MR = 319.21 kN-m.
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(c) In a region of the channel a sluice gate is installed with an aperture a = 0.5m and a contraction
coefficient (of the vena contracta) of 0.6: (i) calculate the flow depth upstream the sluice gate (y); [points: max 2.5] (ii) calculate the flow depth downstream the sluice gate (2); [points: max 2.5] (iii) calculate the velocity and the Froude number for y₁ [points: max 2.5] (iv) calculate the velocity and the Froude number for y₂ [points: max 2.5]
Sluice gate: A sluice gate is a water channel control that is used in water management systems. It is commonly made of steel, wood, or concrete and may be operated manually or automatically by a machine.
The coefficient of contraction is the ratio of the smallest cross-sectional area of the flow stream at the vena contract a to the actual area of the orifice opening. Since there is no height above the datum, z = 0.
the total head is given by
[tex]h = y + (v²)/(2g).At point 1, h = y₁ + (v₁²)/(2g)[/tex]....
at point 2, [tex]h = y₂ + (v₂²)/(2g)[/tex]....
[tex]A_vc = Cc × a²[/tex]. ….
The mean velocity of flow in the vena contracta is given by,
[tex]v = Q/A_vc.[/tex]
[tex]v₂² - v₁² = 2g(y₁ - y₂).[/tex]….
[tex]Q²/(A_vc)² - Q²/(a²)² = 2g(y₁ - y₂).[/tex]
[tex]Q²/(Cc × a²)² - Q²/(a²)² = 2g(y₁ - y₂).[/tex]
[tex]y₁ - y₂ = (Q²/Cc²) × (1/a⁴ - 1/a²) / (2g).[/tex]
[tex]y₁ - y₂ = (0.6² × Q²) / (0.5⁴ × 2 × 9.81) = 0.0584 Q².[/tex]….
Calculation of flow depth downstream the sluice gate (y₂):
The flow depth downstream the sluice gate is given by
,[tex]y₂ = y₁ - 0.0584 Q²[/tex]. ….
Calculation of velocity and the Froude number for y₁:
The mean velocity of flow in the vena contracta is given by[tex],v = Q/A[/tex].
[tex]F₂ = (Q/0.15) / √[g(y₂ + Q²/(2g × 0.15²))].[/tex]
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Question 4 Estimate the 3 hour duration PMP (in mm) for a rough terrain at a point location having an Elevation Adjustment Factor of 0.95 and a Moisture Adjustment Factor of 0.55. PMP = mm
Precipitation Maximum Probable (PMP) is defined as the maximum amount of precipitation that could be expected to fall in a given area or point location, generally estimated over a certain duration of time. PMP is important for various water resources projects and hydrologic studies, as it helps to estimate the maximum potential runoff in a basin or watershed, which could be used for design purposes.
In this question, we are asked to estimate the 3-hour PMP for a rough terrain at a point location, given that the Elevation Adjustment Factor is 0.95 and the Moisture Adjustment Factor is 0.55. To estimate the PMP, we can use the following formula: PMP = (C x P) / 100Where, C = Correction Factor P = Normal Precipitation For a given duration, the Normal Precipitation can be estimated using the following formula:
P = (N x A) / 25Where, N = Normal Precipitation Depth A = Drainage Area in km²For the given 3-hour duration, the Normal Precipitation can be estimated as: P = (N x A) / 25 = (P1 x A) / 25Where, P1 is the Normal Precipitation Depth for the given duration (in mm/hour).To estimate P1, we can use the following empirical formula:
P1 = 0.035 x (L/D)⁰‾⁷⁵Where, L = Length of the storm in km D = Effective Depth of the storm in km For the given 3-hour duration, we have L = 80 km (Assuming a maximum length of 160 km for a 24-hour storm)D can be estimated using the following formula:
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