A soccer ball whose radius is 11 cm rolls a distance of 10 m in 3.50 s. What is the angular speed of the ball?

Q: Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight…

A: Radius of Wheel R = 0.6 m  Angular acceleration α = 4.49 rad/s2 Number of revolutions = 15  Initial…

Q: A wheel with a diameter of 1 meter rotates the following angular distances, calculate the linear…

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Q: A 64-cm-diameter wheel accelerates uniformly about its center from 130 rpm to 300 rpm rpm in 4.8 s.…

A: Given data: Diameter of wheel is, d=64 cm=0.64 m. Number of revolution at initial is, N1=130 rpm.…

Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…

A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…

Q: An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of…

A: The angular speed =500rev/min

Q: A wheel 31 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.8 s. How far will a…

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Q: When a fan is turned off, its angular speed decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is…

A: Giveninitial angular acceleration(ωi)=10 rad/sfinal angular acceleration(ωf)=6.3 rad/stime(t)=5.0…

Q: A 0.29 m radius grinding wheel takes 7.7 s to speed up from 2.7 rad/s to 8.9 rad/s. What is the…

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Q: Starting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight…

A: We shall use the rotational kinematic equation to solve this problem ωf2=ωi2+2αθwhereωf is the final…

Q: A 0.13 m radius grinding wheel takes 1.3 s to speed up from 2.9 rad/s to 7.2 rad/s. What is the…

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Q: What is the value of the angular velocity of a wheel that rotates by moving 15 radians? in 0.2…

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Q: A Ferris wheel rotating at 20 rad/s slows down with a constant angular acceleration of magnitude 5.0…

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Q: A flywheel with a diameter of 1.40 m is rotating at an angular speed of 100 rev/min. What is the…

A: Given Data: Diameter, D=1.40 m Angular speed, ω=100 rev/min

Q: A rotating disk is initially spinning at w= 4.1 rev/s, slows down and stops in 41.5 s. What is the…

A: Given that Initial Angular velocity ω = 4.1 rev/s Final angular velocity ω' = 0  ( for stop ) time…

Q: A 0.46 m radius grinding wheel takes 1.4 s to speed up from 3.8 rad/s to 8.6 rad/s. What is the…

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Q: A car with 58-cm-diameter tires accelerates uniformly from rest to 20 m/s in 10 s. How many times…

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Q: A playground merry-go-round makes two complete rotations in 9.6 s. What is its angular velocity?

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Q: How many revolution does a bike has if its angular velocity per day is 18100 radians and rotates for…

A: Solution

Q: A wheel rotates through an angle of 13.8 rad as it slows down from 22.0 rad/s to 13.5 rad/s. What is…

A: The expression for the angular acceleration from angular kinematics equation,

Q: A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies…

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Q: A rotating disk speeds up from 3 rad/s to 5 rad/s in 0.2 s. What is the disk's average angular…

A: Given data: Initial angular velocity (ω0) = 3 rad/s Final angular velocity (ω) = 5 rad/s Time (t) =…

Q: 24. A ball is attached to a string and rotates in a circle. If it takes 1.00 s to complete one…

A: Ball attached to the string is rotating in a circle. For completing 1 revolution it takes 1.00 s So…

Q: A tire rotates at an angular velocity of 40 rad/s. What angular displacement will the tire undergo…

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Q: A truck with 0.420 m radius tires travels at 32.0 m/s. What is the angular velocity of the rotating…

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Q: What is the linear speed of a point that moves in a circle with a radius of 1cm with an angular…

A: Given data :- radius r = 1 cm = 0.01 m = 1×10-2 m angular velocity ω = 3 radians/s

Q: A child is riding a merry-go-round which completes one revolution every 8.36 s. The child is…

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Q: flywheel 1.2 m in diameter accelerates uniformly from rest to 2000 rpm in 20 sec. What is its…

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Q: A centrifuge spins from rest with an angular acceleration of 226 rad/s?. What is the angular speed…

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Q: A giant wheel is rotating at a speed of 20 rad/s. It then slows down with a constant angular…

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Q: 6. A 0.30m radius automobile tire rotates how many rad after starting from rest and accelerating at…

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Q: A tire of a car is about 64 cm in diameter. If the tires rotate 500 revolutions per minute, what is…

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Q: A 0.24 m radius grinding wheel takes 5.8 s to speed up from 2.6 rad/s to 5.9 rad/s. What is the…

A: Given  Radius of wheel r=0.24m Time taken t=5.8s Initial angular speed ωi=2.6rad/s Final angular…

Q: An electric fan is turned off, and its angular velocity decreases uniformly from 600 rev/min to 250…

A: Ans:- Image-1

Q: A 0.37 m radius grinding wheel takes 6.1 s to speed up from 2.9 rad/s to 6.8 rad/s. What is the…

A: Given data The radius is given as r = 0.37 m. The time interval is given as t = 6.1 s. The initial…

Q: A disk with radius 50.0 [m] rotates at a rate of 1.50[rad/s]. What is the tangential speed at the…

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Q: A ventilation fan has blades 0.25 m in radius rotating at 20 rpm. What is the tangential speed of…

A: Given,  Radius of fan blade =0.25 m Speed of fan blade =20 rpm We have to find the tangential speed…

Q: A computer hard disk starts from rest, then speeds up with an angular acceleration of 190 rad/s2…

A: Formula of angular displacement is as follows; θ=ω0t+12αt2…

Q: An optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is…

A: Values given in the question are as follow; ω0=6170 rpmω0=639.62 radst=0.368 sω=0r=6 cmr=0.06 m To…

Q: The tires of a car are rotating with an angular velocity of 200 rads/s. The angular velocity is the…

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Q: 20. A disk with radius 50.0 [m] rotates at a rate of 1.50 [rad/s]. What is the tangential speed at…

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Q: A compact disc in a turntable rotates through 6.0 rad in 4.4 s as it is accelerated uniformly from…

A: Given data The initial velocity of the compact disk is ω0=0. The time duration is given as t = 4.4…

Q: The angular speed of the shaft of a car's engine is 360 rad/s. How many revolutions does it complete…

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Q: A high-speed drill reaches 2500 rpm in 0.54 s. What is the drill's angular acceleration? Through how…

A: Convert 2500 rpm to rad/s.

Q: A grinding wheel 1.40 m in diameter rotates with angular speed 1340 rpm. What is the linear speed of…

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Q: How much time does it take for a rotating basketball with an angular speed of 24 rad/s to rotate 12…

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Q: A merry-go-round rotates at a constant angular speed. It takes 20 sec to make a complete revolution.…

A: Given: t = 20 s, r = 4 m, θ=2π

Q: A 0.53 m radius grinding wheel takes 1.5 s to speed up from 2.2 rad/s to 6 rad/s. What is the…

A: The average angular acceleration is given by, α = change in angular velocitytime taken

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.