The torque about the origin on the plum if that torque is due to a force F is 12j.
Torque is a measure of the force that can cause an object to rotate approximately an axis. just as a force is what reasons an object to accelerate in linear kinematics, torque is what reasons an object to gather angular acceleration. Torque is a vector quantity.
calculation -
The torque about origin = v x f
= (-2i + 4k) x (6k)
= -12 (i x k) + 0
= 12j
Torque is the rotational equation of linear force. it's also called the instant, second of force, rotational pressure, or turning impact, depending on the field of observation. It represents the capability of pressure to supply an alternate within the rotational movement of the body.
Learn more about Torque here - https://brainly.com/question/20691242
#SPJ4
The compass of an airplane indicates that it is headed due north, and its airspeed indicator shows that it is moving through the air at 240 km/hr. if there is a wind of 100 km/hr from west to east, what is the velocity of the airplane? 155 km/hr with directional bearing n65.8Ëše 260 km/hr with directional bearing n67.4Ëše 260 km/hr with directional bearing n22.6Ëše 155 km/hr with directional bearing n24.6Ëše
If airspeed indicator shows that it is moving through the air at 240 km/h through a wind of 100 km/h from west to east, the velocity of the airplane is 260 km / h and the direction is 67.4° N of E
V of airplane = 240 km / h ( N )
V of wind = 100 km / h ( E )
Since North is in y-axis and East is in x-axis,
Vy = 240 km / h
Vx = 100 km / h
V² = Vx² + Vy²
V² = 100² + 240²
V² = 10000 + 57600
V = √ 67600
V = 260 km / h
tan θ = Vy / Vx
tan θ = 240 / 100
tan θ = 2.4
θ = 67.4° N of E
Therefore, the velocity of the airplane is 260 km / h and the direction is 67.4° N of E
To know more about relative velocity
https://brainly.com/question/28730797
#SPJ4
Answer:
C
Explanation:
What is the range of electronegativity for polar nonpolar and ionic bondings?.
The range of electronegativity for polar nonpolar and ionic bonding will be between 1.5 and 2.1
Electronegativity is a chemical property that describes the tendency of an atom or a functional group to attract electrons toward itself.
The range of electronegativity for polar nonpolar and ionic bonding . So, the difference in electronegativity is somewhere between 1.5 and 2.1, between a polar covalent bond and an ionic bond.
To learn more about electronegativity here :
https://brainly.com/question/17762711
#SPJ4
The range of electronegativity for polar nonpolar and ionic bonding is less than 0.4 and greater that 0.4, respectively.
In general there are two major categories of bonds, which are polar molecules and nonpolar molecules.
In the field of chemistry, polarity can be described as the distribution of electric charge around atoms, chemical groups, or molecules.
When there is an electronegativity difference between the bonded atoms then polar molecules are formed. Water - [tex]H_{2}[/tex]O, Ammonia - N[tex]H_{3}[/tex] are some of the examples of polar molecules.And when electrons are shared equal between atoms of a diatomic molecule or when polar bonds in a larger molecule cancel out each other then non polar molecules are formed. Any of the noble gasses: He, Ne, Ar, Kr, Xe, Benzene, methane etc are some of the examples of the molecules which forms non polar bondAnd if we talk about ionic bond, which are also be called as electrovalent bond, type of linkage formed from the electrostatic attraction between oppositely charged ions in a chemical compound. These types of bond forms when the outermost electrons of one atom are transferred permanently to another atom.There is no hard and fast rule but in general, a bond is considered as non polar if the difference in electronegativities is less than about 0.4, and it will be called a polar bond molecule if the difference is greater than 0.4.
To know more about bonds here:
https://brainly.com/question/15207647
#SPJ4
What are the 7 types of electromagnetic waves and their uses and application?.
The 7 types of electromagnetic waves are
1. Radio waves: Radio waves are used for communication.
The frequency range of radio waves are
3 KHz - 3 x 10^2 GHz
2. Microwaves: Microwaves are used for heating and data transmission.
The frequency range of microwaves are
1 GHz - 10^3 GHz
3. Infrared waves: Infrared waves are used in remote control and imaging applications.
The frequency range of infrared waves are 3 x 10^2 GHz - 4 x 10^2 THz
4. Visible light: Visible light helps us see everything around us.
The frequency range of visible lights are
4 x 10^2 THz - 7 x 10^2 THz
5. Ultraviolet Waves: Ultraviolet waves are useful in the study of celestial bodies.
The frequency range of ultraviolet waves are 7.5 x 10^14 Hz - 3 x 10^16 Hz
6. X-rays: X-rays are used in medical instruments to view the bone structure of the body.
The frequency range of X-rays are
10^16 Hz - 10^20 Hz
7. Gamma rays: Gamma rays are used in the nuclear industry as well as in medicine.
The frequency range of gamma Ray's are
3 x 10^18 Hz - 5 x 10^22 Hz
Learn more about EM Waves here:
https://brainly.com/question/25847009
#SPJ4
are the two sources in phase or out of phase? explain how you can tell from the diagram. if the two sources are out of phase, give the phase difference between the two sources. explain.
If two sources emit waves with the same wavelength and a constant phase difference ϕ, they are said to be coherent.
What is coherent source ?If the frequency and waveform of two wave sources are the same, they are coherent. Waves' optimal quality of coherence makes stationary interference possible.When the phase difference between two beams of light is constant, they are coherent; if the phase difference is random or changes, they are noncoherent.The concept of a superpositioning at the core of quantum physics and quantum computing is referred to as "quantum coherence." Quantum coherence specifically considers a scenario in which a wave property of an item is split in two and the two waves coherently interfere with one another.The interference visibility, which examines the size of the interference fringes in relation to the input waves, is an easy way to measure the degree of coherence; correlation functions provide a precise mathematical definition of the degree of coherence.To learn more about coherent refer :
https://brainly.com/question/24768967
#SPJ4
the solar system contains vast numbers of small bodies, which we call asteroids when they are rocky and comets when they are icy. these small bodies are concentrated in the region(s) of the solar system that we call .
The small bodies called asteroids are concentrated in the region between the orbits of Mars and Jupiter.
An asteroid is a minor planet of the internal Solar System. The size as well as shape pf asteroids range significantly, starting from 1-meter rocks to a dwarf planet nearly a 1000 km in diameter; they may be rocky, steel or icy our bodies and not using a atmosphere. Most of them are placed withinside the foremost asteroid belt – a location among the orbits of Mars and Jupiter.
Therefore, the tiny bodies are located in the obits of two planets that are discussed above.
To learn more about planets check the link below:
https://brainly.com/question/11139157
#SPJ4
a compact disc contains an extremely thin sheet of aluminum. if you put a larger block of metal in a microwave oven along with a cd and turn the oven on, what happens?
If you put a larger block of metal in a microwave oven along with a cd and turn the oven on Only the CD becomes hot enough to soften and sparks dance about its surface.
CDs use very thin aluminum foil. When you put a large metal block in the microwave with the CD and turn on the oven, only the CD gets hot enough to soften and spark off its surface. Microwaves transfer heat to food primarily through water molecules.
Microwaves transfer heat to food primarily through water molecules. Higher frequencies and shorter wavelengths. A microwave oven heats water because microwave radiation interacts with the dipoles of water molecules. Microwaves spin water molecules back and forth at roughly the same frequency as microwaves, giving them energy.
Learn more about Microwaves here:- https://brainly.com/question/1304742
#SPJ4
In a certain population, the frequencies of two alleles A and a are equal. The population inbreeds such that f = 0.3. What is the frequency of each genotype in the population? Multiple Choice AA: 0.35, Aa: 0.3, aa: 0.35 AA: 0.325, Aa: 0.35, aa: 0.325 AA: 0.25, Aa: 0.5, aa: 0.25 The genotype frequencies cannot be calculated from the provided information.
The frequency of AA individuals is 0.25, the frequency of Aa individuals is 0.5, 0.25 the frequency of aa individuals is
What is frequency?
The frequency of a repeating event is its number of instances per unit of time. In some cases, it is also referred to it as temporal frequency or ordinary frequency to emphasise differences with spatial and angular frequencies, respectively. One (event) per second is equal to one hertz (Hz), which is how frequency is expressed. The period is indeed the reciprocal of a frequency because it is the length of time for one cycle in a repeating event. When a heart beats 120 times per minute (2 hertz), for instance, the period (T), or space between beats, is half a second. In science and engineering, frequency is a crucial parameter for describing the temporal rate of change seen in oscillatory as well as periodic phenomena.
Let q and p represent the frequency of each allele, respectively.
If A and a have equal frequencies, then p = q = 0.5
because p + q = 1. The equation p2+2pq+q2 = 1
can be used because the population has been in
Hardy-Weinberg equilibrium.
As a result, the frequency of AA individuals is p2 = 0.52 = 0.25,
the frequency of Aa individuals is 2pq = 2 x 0.5 x 0.5 = 0.5,
and the frequency of aa individuals is q2 = 0.52 = 0.25.
To learn more about frequency
#SPJ4
When a 100-kg mass is hung from a cable made of a certain material, the cable is observed to lengthen by 1%. If the cable is now replaced by one with twice the cross-sectional area and made of a material with twice the Young's modulus of the original one, and the mass hung from it is also doubled, how much stretching will be observed? A) 0.5% B) 8% C) 1% D) 4%
The mass hung from it is also doubled, 4% much stretching will be observed.
What is mass?
A substance or object's mass is a measurement of how much matter there is in it. Smaller masses can be measured in grams instead of kilograms (kg), which is the standard SI unit for mass (g). You would use a balance to calculate mass.
What is modulus?
The ratio of the stress that a material experiences under an applied strain is known as the Young's modulus. The strain is the percentage of the starting length that represents the amount of material deformation, such as the change in length in an extensional experiment.
Therefore, the mass hung from it is also doubled, 4% much stretching will be observed.
Learn more about mass from the given link.
https://brainly.com/question/1658757
#SPJ4
What are the 7 electromagnetic waves in order from lowest to highest frequency?.
The electromagnetic spectrum is divided into seven different frequency ranges, which are, from lowest to highest, radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.
The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometers and a small portion of the size of an atomic nucleus. The electromagnetic waves found within each of these bands are referred to by a different name; starting at the low frequency (long wavelength) end of the spectrum, these are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. This frequency range is divided into separate bands.
To know more about electromagnetic spectrum
https://brainly.com/question/13749603
#SPJ4
what will happen to the force needed to keep something in a circular path if the radius doubles while other variables stay the same?
The force doubles as it is directly proportional to the radius.
Does anything move faster when it follows a circular path?A shift in velocity can occur in either its magnitude (speed), its direction, or both. Even if the speed may be constant in uniform circular motion, there is always an accompanying acceleration since the direction of the velocity is continually changing.
What maintains the car's trajectory in a curve?Friction between the tyres and the road causes the centripetal force that causes the car to turn in a circular motion. If there isn't enough friction, the car will move in a curve with a larger radius and veer off the road.
Learn more about centripetal force here:
brainly.com/question/11324711
#SPJ4
a gas in a sealed container has pressure 01, volume v1 and absolute temperature t1. the container is flexible. suppose the volume of the container is reduced
The temperature of the gas change by T2 = 2T1
Temperature is the degree of the average kinetic energy of the debris in an item. while the temperature will increase, the movement of this debris additionally will increase. Temperature is measured with a thermometer or a calorimeter.
calculation:-
The initial pressure of the gas = P1
The initial volume of the gas = V1
The initial temperature of the gas = T1
Final pressure of the gas = P2 = 4P1
Final volume of the gas = V2 = V1/2
The final temperature of the gas = T2
P₁V₁/T = P₂V₂/T₂
P₁V₁/T = (4P₁)(V₁/2)/T₂
T2 = 2T1
Final temperature of the gas = T2 = 2T1
Temperature is just a dimension that indicates the common kinetic energy of 1 atom or molecule. as a result, when we are saying something is warm or bloodless, we're generally using any other reference point to define the hotness and coldness of a frame.
Learn more about temperature here:-brainly.com/question/2339046
#SPJ4
Disclaimer:- your question is incomplete, please see below for the comlete question.
A gas in a sealed container has pressure p1, volume v1, and absolute temperature T1. The container is flexible. Suppose the volume of the container is reduced to V2=V1/(2) and the pressure changes to p1=4p1. How did the temperature of the gas change? Is it: 1.) T2=2T1 2.) T2=4T1 3.) T2=T1/(2) 4.)T2=T1 5.) None of the above 6.) T2=T1/(4)
Homework Help Please! 3 0 p t s
A current-carrying wire is held in a vertical direction. In order to make a clockwise magnetic field around the wire, the current should be passed in the straight wire:
from bottom to top
from left to right
from top to bottom
from right to left
A current-carrying wire is held in a vertical direction. In order to make a clockwise magnetic field around the wire, the current should be passed in the straight wire of option C: from top towards bottom.
What kind of wire carries the current?When a current-carrying wire is positioned in a magnetic field created by an external source, such as a permanent magnet, it feels a magnetic force. A wire that is carrying current generates its own magnetic field as well.
The right hand thumb rule states that if you hold a wire carrying electricity in your right hand with your thumb pointing in the direction of the current, the magnetic lines of force will be represented by the direction in which your fingers wrap around the wire.
As a result, a current-carrying conductor is held precisely vertical. Current should flow through the conductor from top to bottom in order to create a clockwise magnetic field around it.
Learn more about current-carrying wire from
https://brainly.com/question/14226437
#SPJ1
__________refers to the capability of systems to self-stabilize in response to external forces or stressors, or more simply the capability of systems to maintain homeostasis refers to the capability of systems to self-stabilize in response to external forces or stressors, or more simply the capability of systems to maintain homeostasis.
Homeostatic capacity
Homeostasis, The monitoring of internal environmental conditions is part of homeostasis, a sort of homeostasis that is necessary to support life in the human body.
What does the body's equilibrium entail?Homeostasis is a self-regulating process that enables an organism to retain internal stability while adapting to shifting external situations. It has emerged as the key unifying idea of physiology.In biology, homeostasis refers to the constant internal, external, and chemical conditions that are upheld by biological systems. This is the state in which the organism is operating at its peak potential, and it entails maintaining numerous parameters—including body temperature and fluid balance—within predetermined ranges.To learn more about Homeostasis refer to:
https://brainly.com/question/24882789
#SPJ4
A 9. 0-kg hanging weight is connected by a string over a pulley to a 5. 0-kg block sliding on a flat table. If the coefficient of sliding friction is 0. 20, find the tension in the string
The push magnitude and the tension of the code is 5.
4 × 10^-4
What is cord?
cord is the slender flexible material usually consisting of several stands or twisted together.
It is wired coverd in rubber or plastic which connects electrical equipment to an electricity supply.
The free body diagram as per the question with the tension of string T .
The force of gravity ~mg
The force of air ~f
Since the sphere is motionless the net force on it is 0.
And the x and y are the components of equation are zero
Tsin + 0 = F
Tcos - mg= 0
Where ¥ = 32°
Thus we get
T= (3.9×10^-4 kg ) (9.8m/s^2)/cos32°
= 2.1×3.2×10^-4
Solving T
We can get the F =
(3.2×10^-4)sin 32° =
5.4 ×10^-4
To know more about cord click
https://brainly.com/question/1338130
#SPJ4
A fast-pitch softball player pitches the ball horizontally at 22.4m/s. Her release point was 0.67m above the ground. What is the horizontal acceleration of the softball after she lets go of the ball?
The horizontal acceleration of the softball after she lets go of the ball is 0 m/s².
option B is the correct answer.
What is the horizontal acceleration of a projectile?During a projectile motion, the vertical acceleration of a projectile decreases as the projectile moves upwards and eventually become zero as the object reaches the maximum height.
As the object begins move downwards, the vertical velocity of the projectile increases and eventually becomes maximum before the object hits the ground.
During the horizontal motion of a projectile, the horizontal velocity of the projectile does not change. That is the initial horizontal velocity of the projectile equals the final horizontal velocity of the projectile.
a = v - u/t
where;
v is the final horizontal velocityu is the initial horizontal velocityt is time of motionSince, final horizontal velocity = initial horizontal velocity, then horizontal acceleration = 0 m/s²
Learn more about horizontal acceleration here: brainly.com/question/14268089
#SPJ1
The following four objects roll without slipping along a horizontal surface toward an incline. The velocity of the center of mass of each of the objects is the same at the bottom of the incline. Which of the objects will roll the greatest distance up the incline before coming to rest? Shape Mass Radius Ring М 2R Shape Mass Radium Solid sphere 2M R Radius Shape Mass Disk М 2R Shape Radius Mass Disk 2M All four objects will roll the same distance up the incline
Each of the four objects will travel the same distance up the inclined plane.
What's the connection between mass and speed?Momentum is directly proportional to mass and velocity. The momentum of the item increases proportionally as either mass or velocity are increased. The momentum is doubled for every unit increase in mass or speed.
How does mass influence speed?Indirect effects of mass on speed exist. It identifies the rate at which an object can alter its speed in response to a specific force. Lighter objects alter their speed under a given force with less time required.
How fast is the centre of mass moving?By dividing the total momentum (mass times velocity) by the sum of each particle's momentum, the centre of mass velocity equation may be found.
Learn more about momentum here:
https://brainly.com/question/24030570
#SPJ4
the galactic distances used to measure the acceleration of the universe are determined by observations of question 6 options: a) trigonometric parallax b) hubble's law c) exploding white dwarfs (supernovae) d) cepheid variable stars
The galactic distances used to measure the acceleration of the universe are determined by observations of exploding white dwarfs (supernovae). Correct answer: letter C.
Because the brightness of a supernova is known very precisely. By measuring the brightness of a supernova, astronomers can calculate its distance from Earth. This allows them to measure the distance of far away galaxies and compare them over time to determine the acceleration of the universe.
What are white dwarfs?
White dwarfs are the dense, glowing remains of stars that have exhausted their nuclear fuel. These stars range in mass from about 0.6 to 1.4 times the mass of the Sun and are about the size of Earth. White dwarfs are some of the oldest stars in the universe, with lifespans of billions of years.
Learn more about white dwarfs:
https://brainly.com/question/24873876
#SPJ4
the g string on a guitar is 49.0 cm long and has a fundamental frequency of 196.0 hz. a guitarist can play different notes by pushing the string against various frets, which changes the string's length. the fifth fret from the neck gives the musical note c (261.6 hz); the sixth fret gives d-flat (277.2 hz).
The guitar has 6 strings. Listed from low to high, the guitar string notes are: E, A, D, G, B, E.
What are the string and guitar?Guitar string is a string made of a particular material, typically, gut, nylon or steel, which is spanned over a wooden instrument or an instrument which has magnetic or piezoelectric pickups.Many people overlook the importance and vital role of guitar strings. They help your guitar sound, play, and even feel better. Old strings can cause intonation and tuning problems, while new strings can breathe new life into your guitar's sound and playability, keeping your guitar sounding its best.Benefits of String ImmutabilityHence saving memory and fast performance. More secure since we can't change the value of string object. Thread safety while working with strings in a multi-threaded environment. Class loading is more secure since the string value passed as an argument to load a class can't be changed.The distance that should be far apart the third and fourth frets should be Δd = 49.0 cm.
Calculation of the distance that should be far apart:
Since
The G string should be long i.e. 49 cm.
The frequency is 196 Hz
The third fret from the neck gives B is (233.08 Hz)
And, the fourth fret gives B (246.94 Hz).
So here
L3
= Length * frequency / third fret
= 49*196/233.08
= 41.20 cm
L4= Length * frequency / fourth fret
= 49*196/246.94
= 38.888 cm
So here the difference should be
= L3 - L4
= 41.20 cm - 38.888 cm
= 2.3 cm
Hence, distance that should be far apart the third and fourth frets should be Δd = 2.3 cm.
Learn more about String and Guitar here,
https://brainly.com/question/14498018
#SPJ4
which factor leads to interference between waves? (2 points) a varying phase relationship between waves similar wave amplitudes unequal wavelengths radiation through different regions
The factor that leads to interference between waves is similar wave amplitudes. So, the correct option is b.
Constructive interference occurs when the crests of one wave overlap the crests of the other wave, causing an increase in wave amplitude. Destructive interference occurs when the crests of one wave overlap the troughs of the other wave, causing a decrease in wave amplitude. To set up a clear interference pattern, two conditions must be met: The sources of the waves must be coherent, which means they emit identical waves with a constant phase difference. The waves should be monochromatic - they should be of a single wavelength.
Learn more about the interference here:
https://brainly.com/question/20193792
#SPJ4
Answer:
Similar wave amplitudes
Explanation:
I got it right on the test.
my car has an internal volume of 2600 liters. if the sun heats my car from a temperature of 200c to a temperature of 550c, what will the pressure inside my car be? assume the pressure was initially 760 mm hg.
The pressure inside the car will be 850 mmHg
This is written as
P1 / T1 = P2 / T2, where,
P1 , T1 - the pressure and temperature of the gas at an initial state
P2, T2 - the pressure and temperature of the gas at a final state
When plugging in your values into this equation, don't forget to convert the temperature from degrees Celsius to Kelvin.
So, rearrange and solve for P2 to get
P2 = T1 / T2 . P1
P2=(273.15+55)K / (273.15+20)K ⋅ 760 mmHg = 850.74 mmHg
P2 = 850 mmHg
Pressure , within the physical sciences, the perpendicular force in step with unit per area , or the stress at a factor inside a restricted fluid.
The SI unit of pressure is pascal (represented as Pa) which is identical to one newton in line with rectangular metre (N/m2 or kg m-1s-2).
A easy instance of pressure can be seen by retaining a knife to a bit of fruit. In case you keep the flat part of the knife towards the fruit, it might not reduce the area. The force is spread out of a massive vicinity (low strain).
Learn more about pressure here:- https://brainly.com/question/28012687
#SPJ4
which statement if wrong regarding slip i. initial slip increases strength of a material ii. slip account for the elastic deformation iii. slip is the motion of a crystal plane iv. slip causes the plastic deformation
Option iv. slip causes plastic deformation is the wrong statement. Slip is a key factor in the deformation of metals. It entails the movement of crystal blocks over one another along various crystallographic planes that we refer to as slip planes. It occurs in separate atomic spacing multiples.
After deformation, the crystal's orientation above and below the slip plane is the same as it was before.
It happens over a number of milliseconds.
It takes place over a large plane.
There are slip lines whether the number is even or odd.
Slip occurs when the critical resolved shear stress, also known as the shearing stress threshold, is reached on the slip plane in the slip direction.
The complete question is attached as an image.
Want to know more about deformation visit;
https://brainly.com/question/10667384
#SPJ4
A flywheel with a radius of 0.600 m starts from rest and accelerates with a constant angular acceleration of 0.200 rad/s2 . Part A: Compute the magnitude of the tangential acceleration of a point on its rim at the start.; Part B: Compute the magnitude of the radial acceleration of a point on its rim at the start.; Part C: Compute the magnitude of the resultant acceleration of a point on its rim at the start.; Part D: Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ∘; Part E: Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ∘.; Part F: Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0 ∘.; Part G: Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ∘.; Part H: Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0 ∘.; Part I: Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0 ∘.
Part A:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
The tangential acceleration of a point at the start (αₓ) =
= αₓ = αₐ × r
= αₓ = 0.200 × 0.600
= αₓ = 0.12 m/s²
Part B:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
Magnitude of radial acceleration of a point on rim at the start (αₙ)=
= (angular speed)² × r
= 0 × 0.600
= 0 m/s²
Part C:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Resultant acceleration of a point on the rim at the start =
= α =√(αₙ² + αₓ²)
= α = √ (0² + 0.12²)
= α = 0.12 m/s²
Part D:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
The tangential acceleration of a point after 60° turn (αₓ₁) = The tangential acceleration of a point at the start (αₓ)
= αₓ₁ = αₐ × r
= αₓ₁ = 0.200 × 0.600
= αₓ₁ = 0.12 m/s²
Part E:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
Angular speed after 60° turn = ω₁ = √(ω² + (2×α×θ))
To find θ,
= θ = 60Π / 180
= θ = Π/30
= θ = 1.04 rad
Thus, ω₁ = √(0 + 2 × 1.04 × 0.2)
= ω₁ = 0.644 rad/s
The radial acceleration of a point after 60° turn (αₓ₂) =
= αₓ₂ = r × ω₁²
= αₓ₂ = 0.600 × 0.644²
= αₓ₂ = 0.248 m/s²
Part F:
Radius of flywheel = 0.600 m
The tangential acceleration of a point after 60° turn (αₓ₁) = 0.12 m/s²
The radial acceleration of a point after 60° turn (αₓ₂) = 0.248 m/s²
The magnitude of resultant acceleration of a point on the rim after 60° turn (α₃) =
= α₃ = √ (αₓ₂² + αₓ₁²)
= α₃ = √ (0.12² + 0.248²)
= α₃ = 0.275 m/s²
Part G:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
The tangential acceleration of a point after 120° turn (αₓ₁) = The tangential acceleration of a point at the start (αₓ)
= αₓ₁ = αₐ × r
= αₓ₁ = 0.200 × 0.600
= αₓ₁ = 0.12 m/s²
Part H:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
Angular speed after 120° turn = ω₁ = √(ω² + (2×α×θ))
To find θ,
= θ = 120Π / 180
= θ = 2Π/3
= θ = 2.09 rad
Thus, ω₁ = √(0 + 2 × 2.09 × 0.2)
= ω₁ = 0.836 rad/s
The radial acceleration of a point after 120° turn (αₓ₂) =
= αₓ₂ = r × ω₁²
= αₓ₂ = 0.600 × 0.836²
= αₓ₂ = 0.502 m/s²
Part I:
Radius of flywheel = 0.600 m
The tangential acceleration of a point after 120° turn (αₓ₁) = 0.12 m/s²
The radial acceleration of a point after 120° turn (αₓ₂) = 0.502 m/s²
The magnitude of resultant acceleration of a point on the rim after 120° turn (α₃) =
= α₃ = √ (αₓ₂² + αₓ₁²)
= α₃ = √ (0.12² + 0.502²)
= α₃ = 0.515 m/s²
To know more about Radial, Tangential and Resultant Acceleration:
https://brainly.com/question/9468042
#SPJ4
a farsighted woman has a near point of 70.0 cm. what power contact lens (when on the eye) will allow her to see objects 27.3 cm away clearly?
A contact lens with a +3.014 diopters power will enable a farsighted woman with a near point of 70.0 cm to see objects clearly at a distance of 27.3 cm.
We have do = 23cm and di = -75cm
So 1/f = 1/do + 1/di = 1/23 + 1/(-75) = .03014
So f = 1/.03014=33.17
So power = 1/0.3317 = +3.014Diopters (converging lens)
In optics, a diopter represents the magnifying power of a lens or lens system. The power of a lens is proportional to unity (one) divided by the focal length (see lens), so the power of a lens in diopters is mathematically equal to 1 meter is divided by the focal length. A healthy human eye can concentrate on an object or picture that is 1/40 of a meter away with an optical power of roughly 40 diopters. A average young person's eye has an additional 20 diopters of adjustment.
Learn more about Diopters here:
https://brainly.com/question/13088549
#SPJ4
Q. Calculate the equivalent hydraulic conductivity value of a horizontally layered system in the vertical direction kEQ,V (assume Layer 1 has k1 and Layer 2 has k2). Follow the same logic of the derivation given in class for the equivalent hydraulic conductivity of a layered system in the horizontal direction. If k1 = 100 k2, which layer will control the flow through the system?
By Darcy’s law, with a constant flow rate through each layer, the gradient will be different in each layer.
What does Darcy's law explain?The equation known as Darcy's law describes how a fluid moves through a porous media. Henry Darcy developed the rule based on the findings of experiments on the movement of water through sand beds, which served as the foundation for hydrogeology, a subfield of earth sciences. Similar to Ohm's law in electrostatics, it establishes a linear relationship between the volume flow rate of the fluid and the hydraulic head difference, which is frequently merely proportional to the difference in pressure.In the past, homogenization techniques have been used to derive Darcy's law from the Navier-Stokes equations, albeit Darcy first discovered it empirically.It is comparable to Fick's law in diffusion theory, Fourier's law in the field of heat conduction, and Ohm's law in the field of electrical networks.Find the attachment answer.
Learn more about Darcy's law refer to :
https://brainly.com/question/27005987
#SPJ4
Find the thickness of a sheet of tin foil (in millimeters) that measures 50.0 cm by 50.0 cm with a mass of 45.5g. the density of tin metal is 7.25 g/cm3.
The thickness of the sheet of mass45.5 g and density 7.25 g/cm³ is 2.5×10⁻³ cm.
What is thickness?Thickness is the measure of the smallest dimension of a solid figure.
To calculate the thickness of the sheet of tin metal, we use the formula below.
Formula:
T = m/DA............ Equation 1Where:
m = Mass of the sheetT = Thickness of the sheetD = Density of the sheetA = Cross sectional area of the sheetFrom the question,
Given:
m = 45.5 gD = 7.25 g/cm³A = 50×50 = 2500 cm²Substitute these values into equation 1
T = 45.5/(7.25×2500)T = 2.5×10⁻³ cmHence, the thickness of the sheet is 2.5×10⁻³ cm.
Learn more about thickness here: https://brainly.com/question/4937019
#SPJ1
real machines are not 100% efficient because . group of answer choices the energy input is always less than the energy output that would require the work output to be 100 times the work input, which is impossible some of the energy input is always transformed into thermal energy that would require the work input to be 100 times the work output, which is impossible some of the energy input is always transformed into gravitational potential energy
It is impossible for real machines to be 100 % efficient.
Because some of the effort performed by a machine is spent to reduce friction, machines are not entirely efficient. Therefore, work output is never more than work intake.
Because some energy is lost to overcome friction, a machine's efficiency is never 100% because its output energy is never equal to its input energy.
When we say "100% efficiency," you indicate that all of the energy from your input should be converted to energy from your output. However, this is not feasible because heat loss and wear and tear will undoubtedly result in some loss.
To read more about efficiency, visit https://brainly.com/question/11752408
#SPJ4
Although ________ satellites are the most expensive to build and launch, they also have the longest orbital life of many years.
An inductor with L = 9.55 mH is connected across an ac source that has voltage amplitude 49.0 V You may want to review (Pages 1023 -1028) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of An inductor in an ac circuit Part A What is the phase angle ф for the source voltage relative to the current? Express your answer with the appropriate units. ANSWER:
The phase angle ф for the source voltage relative to the current the and Frequency is 192.14 H.
Phase angle b/w VL and inductor is 90°
Angular frequency, w = 2 pi f
VL = I XL
Frequency, f = VL/2 pi L I = 49/(2 pi x 4.25 x 0.00955) = 192.14 Hz.
The formula = 2/T yields the angular frequency. In radians per second, the angular frequency is expressed. The frequency, f = 1/T. the reciprocal period. The number of full oscillations per unit of time is given by the motion's frequency, f = 1/T = /2. Angular frequency and velocity are related to displacement and revolution velocity, respectively. full response Angular frequency is a scalar measure of rotation rate, also known as angular speed, radial frequency, circular frequency, and orbital frequency.
Learn more about Phase angle here:
https://brainly.com/question/29340593
#SPJ4
600/3thef irst thing youl need to go is determine the spacing of gri lines remember tracys world is 400 pixels x 400 pixels
The assertion is accurate. 600/3 Determine the gridlines' spacing first; keep in mind that Traces World is 400 pixels by 400 pixels.
What is meant by pixels?A pixel has a value given to it and indicates the value of a certain square inside the image. The formula for calculating the total number of pixels in a picture is the same as the one for calculating the area of a rectangle: the number of pixels across times the number of pixels down. The fundamental color-programming unit on a computer screen or in a digital image is the pixel, a word that was created from the phrase "picture element." Consider it more as a logical than a physical unit. In a digital display, pixels are the smallest unit.On a screen or computer image, a pixel is a region of illumination or color. PPI gauges a computer monitor or screen's pixel density or display resolution.The complete question is:
600/3 the first thing you'll need to go is determine the spacing of gridlines remember traces world is 400 pixels x 400 pixels true/false
To learn more about pixels, refer to:
https://brainly.com/question/3592881
#SPJ4
since we are embedded in the disk of our galaxy, the stars in it stretch across a dark sky like a faint white band. this lead to the greeks to name it galaxias kyklos, which translates into the name . multiple choice question.
Its stars appear as a thin white strip that stretches throughout the night sky. Due to this, the Greeks gave it the name galaxias kyklos, which is equivalent to the name Milky Way Galaxy.
what is The Milky Way is a single galaxy, right?The universe contains billions of galaxies, the Milky Way galaxy being just one of them. Everything that is present is contained within the cosmos, a vast region of space. Every galaxy, star, and planet is present in the cosmos.
Presently, where is the Milky Way galaxy?The Milky Way looks brightest inside the direction of a constellations Sagittarius, Ophiuchus, and Enhances the chance, where the Galactic Center is located. It is also optically close to the Butterfly Cluster (M6) or even the star Shaula, and further south to the Pipe Nebula.
To know more about Milky Way galaxy visit:
https://brainly.com/question/2905713
#SPJ4
