Based on the given information, a three-dimensional Mohr circle representation can be created to analyze the stresses applied to the round bar stock.
By applying the maximum-normal-stress theory and considering a desired safety factor of 1.67, the appropriate material for the part can be determined. Additionally, the safety factors can be calculated using the maximum-shear-stress theory and the maximum-distortion-energy theory.
(a) Assumptions: The analysis assumes that the material is linearly elastic and obeys Hooke's law, that the stresses are well below the material's ultimate strength, and that there are no significant temperature or environmental effects on the material properties.
(b) To create a three-dimensional Mohr circle representation, we can plot the given stresses on a stress space consisting of normal stress (σ) on one axis and shear stress (τ) on the other axis. The stresses P/A (axial), Tc/J (torsional), Mc/I (bending), and 4V/3A (combined) can be plotted as points on the Mohr circle.
(c) Using the maximum-normal-stress theory, we compare the maximum normal stress (σ_max) with the material's yield strength to determine if it meets the safety factor requirement. From the table in Figure 1, we can find the yield strength for various materials and compare it to σ_max. The material should be selected based on the yield strength that satisfies the safety factor of 1.67.
(d) (i) The maximum-shear-stress theory compares the maximum shear stress (τ_max) with the material's shear strength to determine the safety factor.
By calculating τ_max using the Mohr circle, we can compare it to the shear strength of different materials to find the appropriate safety factor.
(ii) The maximum-distortion-energy theory, also known as the von Mises criterion, compares the distortion energy (U) with the material's equivalent yield strength.
By calculating the distortion energy using the Mohr circle, we can compare it to the yield strength of various materials to determine the safety factor.
In conclusion, the appropriate material can be determined for the round bar stock based on the maximum-normal-stress theory and the desired safety factor.
The safety factors can be calculated using the maximum-shear-stress theory and the maximum-distortion-energy theory by comparing the respective stresses with the material properties.
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A dump truck is at rest on a section of road that is at an angle of 5.00° to the horizontal. The truck's mass is 15500 kg. What force must the brakes exert to keep the truck from rolling down the sloped road?
Answer:
F = 13252.46 [N]
Explanation:
To solve these types of problems we must make a free body diagram. Attached we cand find a diagram of this free body diagram with the forces acting on the truck, since the truck does not move it follows that it is in static equilibrium so the sum of the forces on the X and Y axes must be equal to zero.
In the free body diagram it is necessary to use a Force F, which prevents the truck from going downhill, the direction of this force must be opposite to the movement towards the downhill.
Thus performing a sum of forces on the X-axis equal to zero, we can find the Force F corresponding to the brakes of the truck.
What is mast often givena value of zero to describe an object's position on a straight line? Odisplacement Oreference point O distance Oending location Mak Save and Exit
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A car accelerates uniformly from rest to a speed of 58.3 mi/h in 9.47 s. Find the constant acceleration of the car.
How might you estimate the minimum temperature?
a.
Find the temperature that lines exactly up with the two ends of the red line
c.
Use the number that lines up with the top part of the blue line on the left of the thermometer
b.
Use the number that lines up with the bottom part of the blue line on the left of the thermometer
d.
Find the midpoint of the redline
Answer:
d. find the midpoint of the redline
A scientist conducting a field investigation records measurements of very low pressure and high relative humidity at the top of a mountain. A weather map indicates that a warm front is approaching the mountain. Which condition would the scientist most likely observe at the top of the mountain?
Answer:
Please find the answer in the explanation
Explanation:
Given that a scientist conducting a field investigation records measurements of very low pressure and high relative humidity at the top of a mountain.
Since a weather map indicates that a warm front is approaching the mountain, according to the conventional current, the warm front is approaching because the weather must have been in higher relative humidity in cool air.
The warm front is approaching to replace it so that the cool air can conventionally replace the warmth air too.
The condition the scientists will most likely observe at the top of the mountain will be high relative humidity.
A horizontal force of 400 N is exerted on a 2.0-kg ball as it rotates (at
arm's length) uniformly in a horizontal circle of radius 0.50 m Calculate
the speed of the ball ?
Answer:
the speed of the ball is 10 m/s
Explanation:
Given;
magnitude of exerted force, F = 400 N
mass of the ball, m = 2 kg
radius of the circle, r = 0.5
The speed of the ball is calculated by applying centripetal force formula;
[tex]F = \frac{mv^2}{r} \\\\v^2 = \frac{Fr}{m}\\\\v = \sqrt{\frac{Fr}{m}}\\\\ v = \sqrt{\frac{400*0.5}{2}}\\\\v = 10 \ m/s[/tex]
Therefore, the speed of the ball is 10 m/s
Answer:
The speed of the ball is 10 meters per second.
Explanation:
The fact that ball rotates uniformly means that speed of the ball is constant and resulting acceleration is centripetal, which means that external horizontal force exerted on the ball goes towards the center of rotation. We can estimate the speed of the ball by this equation of equilibrium:
[tex]\Sigma F_{r} = F = m\cdot \frac{v^{2}}{R}[/tex] (Eq. 1)
Where:
[tex]F[/tex] - External force exerted on the ball, measured in newtons.
[tex]m[/tex] - Mass of the ball, measured in kilograms.
[tex]v[/tex] - Linear rotation speed, measured in meters per second.
[tex]R[/tex] - Radius of rotation, measured in meters.
We clear the linear speed in (Eq. 1):
[tex]v^{2} = \frac{F\cdot R}{m}[/tex]
[tex]v = \sqrt{\frac{F\cdot R}{m} }[/tex]
If we know that [tex]F = 400\,N[/tex], [tex]m = 2\,kg[/tex] and [tex]R = 0.50\,m[/tex], the speed of the ball is:
[tex]v =\sqrt{\frac{(400\,N)\cdot (0.50\,m)}{2\,kg} }[/tex]
[tex]v = 10\,\frac{m}{s}[/tex]
The speed of the ball is 10 meters per second.
Calculate the mass (in g) of 0.8 cm³ of steel. The density of steel is 7.8 g/cm³. Give your answer to 2 decimal places.
mass= density times volume so 7.8 g/cm3 by0.8 cm3 answer is 6.24 g and it's already in two decimal places
Answer:
[tex]\boxed{6.24g}[/tex]
Explanation:
→ Utilise the density formula
Density = Mass ÷ Volume
→ Rearrange to make mass the subject
Mass = Density × Volume
→ Identify the density and volume values
Density = 7.8 and Volume = 0.8
→ Substitute the values into the density equation
Mass = 7.8 × 0.8 = 6.24 g
What is the mass and density of 237 mL of water
Answer:
V(water)= 237 mL=237×10^-6 m^3ρ(water)=1000 kg/m^3m=ρ×V=(1000)×(237×10^-6)m= 237×10^-3 = 0.237 kgm= 237 gram.a macine that increases speed, a machine that changes the direction of force and a machine that increases force
a force of 5 newtons accelerates an object the object has a mass of 50 grams what is the objects acceleration
Anyone knows this please help me
Answer:
True
Explanation:
A ball thrown at 4 meters/second exerts 200 Newtons of force. The mass of the ball is:
Answer:
50
Explanation:
200 divided by 4 gives you the mass of 50
In a mixture the original substances change to form a new substance.
A. True
B. False
What mass of silver will occupy a volume of 87.75 mL?
The density of silver is 10.49 g/mL.
Answer:
The mass of silver that will occupy a volume of 87.75 mL is 920.5 grams.
Explanation:
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
So the density of silver is 10.49 g / mL indicates that 10.49 g occupies a volume of 1 mL. Then a rule of three can be applied in the following way: if in 1 mL a mass of 10.49 g is occupied, in 87.75 mL how much mass will it occupy?
[tex]mass=\frac{87.75 mL*10.49 g}{1 mL}[/tex]
mass= 920.5 g
The mass of silver that will occupy a volume of 87.75 mL is 920.5 grams.
A passenger train travels from Orange Grove to Lyman, a distance of 430 km. If the route takes 5.6 h, what is the train's speed?
Answer:
76.7 or 77 kmph
Explanation:
430/5.6=
If a coconut drops from its tree and takes 3.34 seconds to hit the ground, calculate the velocity.
you have not given any information how could we answer this
YALLL I NEED HELP ASAP... THIS DUE AT 11:59 AND ITS 10.42 RIGHT NOW
When energy is transferred from one part of a system to another, some of the
energy is lost during the transfer and cannot be used as it was intended.
Which two sentences describe examples of this?
A. Friction between a car's tires and the road produce heat.
N
B. Sunlight strikes a solar panel, generating electricity.
I c. Stereo speakers emit sound when powered by electrical energy,
D. Wind moves a turbine, generating electricity.
I E. Power lines heat up as electricity flows through them.
When energy is transferred from one part of a system to another, some of the energy is lost during the transfer are:
A. Friction between a car's tires and the road produce heat.
E. Power lines heat up as electricity flows through them.
What is energy transfer?Energy cannot be created or destroyed, but it can be transferred and transformed. There are a number of different ways energy can be changed, such as when potential energy becomes kinetic energy or when one object moves another object
There are three types of thermal energy transfer: conduction, radiation, and convection. Convection is a cyclical process that only occurs in fluids. Water molecules at the bottom of a heated pot begin to move faster and then spread out. These excited molecules rise; the cooler, denser waterfalls. The process then repeats.
At the time of transformation, there is a loss of energy in the atmosphere the two examples are Friction between a car's tires and the road producing heat. and Power lines heat up as electricity flows through them.
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What is the transfer of electricity in a motor?
Answer:
Electrical motor
Explanation:
Converts electrical energy to mechanical energy
what does acceleration always refers as
Answer:
Acceleration always refers to a(n) Change in velocity. A change in direction without a change in speed is called velocity.
Explanation:
Answer:
Acceleration is refers as the change in velocity
Q#1 A car is observed traveling 133 m in 4.5 seconds. (Show work)
A) What is its Velocity in m/s?
B) How long would it take this car to travel 3500m?
Answer:
A) 25.56 m/s (I rounded because it was repeating)
B) 118.40 seconds
Explanation:
To calculate speed/velocity, you divide distance by time so you would do 133/4.5=25.5556
Then, to calculate the time, you divide distance by speed/velocity, so 3500/25.56=118.403
a car travels 554 miles south in 10.4 hours . what is the velocity of the car ? show all steps
Answer:
The answer is 53.27 mi/hrExplanation:
To find the velocity covered by the car we use the formula
[tex]v = \frac{d}{t} \\ [/tex]
where
d is the distance
t is the time
From the question
d = 554 miles
t = 10.4 hrs
We have
[tex]d = \frac{554}{10.4} \\ = 53.2692307...[/tex]
We have the final answer as
53.27 mi/hrHope this helps you
A 400kg rock sits on top of a 250m cliff. During an earthquake, the rock falls from the cliff. What is the rock's PE when it is 50m from the ground? PE = mgh = Wh 9 = 9.8 m/s2
Answer:
Explanatioidk
n:
A scooter traveling at 4 m/s rides 800 meters. For what duration of time has the scooter been traveling?
Answer:
The answer is 200 sExplanation:
To find the duration or time taken we use the formula
[tex]t = \frac{d}{v} \\ [/tex]
where
d is the distance
v is the velocity
From the question
d = 800 m
t = 4 m/s
We have
[tex]t = \frac{800}{4} \\ [/tex]
We have the final answer as
200 sHope this helps you
200secs
The equation is Distance ÷ speed = time so, 800m ÷ 4m/s = 200 secs.
How can the motion of two objects be described relative to each other
Answer:
Explanation:
The force on an object causes an a object to move
how is sound wave produced?
Answer:
Sound is produced when an object vibrates, creating a pressure wave.
Explanation:
This pressure wave causes particles in the surrounding medium (air, water, or solid) to have vibrational motion. ... The human ear detects sound waves when vibrating air particles vibrate small parts within the ear.
Answer:
A sound wave is created by continuous vibration of an object. We hear sound when these waves created by vibrations reach our eardrum.
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6.1x10^-4 in expanded form
Answer:fghkigf
Explanation:gbjyfd
When you put your hands on a cold object, like
a glass of ice water, your hands become____________
The glass of water______________becomes
___________if you leave your hands on it for a long time. If you
leave the glass of ice water out in the sun, the
ice will start to ____________________.
Answer:
cold, warm and melt
Explanation:
This element has four valance electrons and four energy levels.
The typical elemental semiconductors are silicon and germanium, each atom of which has four valence electrons.
If the entire chart repersents 100 homes, how many households have a pet bird?
Answer:
10
Explanation:
10% of 100 total pets equals 10 :) hope this helps
