A car is driving around a circular track of a radius of 100 meters.  The car drives a distance of 250 meters.  Through what angle did the car rotate around the track?  Remember to include units with your answer

Q: A flywheel is rotating at 20 rev/min and speeds up to 50 rev/min in 90 seconds. What is the angular…

A: Given: Initial rotations of wheel (N1) = 20 rev/min. Final rotations of wheel (N2) = 50 rev/min.…

Q: A basketball (spherical shell) with r = 1.4m and m = 2.9kg rotates about its axis due to a…

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Q: A rope is wrapped around a cylinder of radius 0.2 meters. Starting from rest, the rope is pulled…

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Q: A flywheel slows from 600 to 400 rev/min while rotating through 40 revolutions. a. The angular…

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Q: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 360 rpm, and the piece…

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Q: What is the linear velocity of a point moving along a circle when the angular velocity is 5.2…

A: Given data: Angular velocity (ω) = 5.2 rad/s Diameter (d) = 12.3 cm Required: Linear velocity (v)

Q: A solid 0.5350 kg ball rolls without slipping down a track toward a vertical loop of radius R =…

A: Given that - Mass of the solid ball Radius  Height Acceleration due to gravity To Find - We have…

Q: Take the radius of the Earth to be 6,378 km. (a) What is the angular speed (in rad/s) of a point on…

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Q: please answer this is one question

A: Given: Angular velocity of first ball ω1 = 23.2 rad/s Angular velocity of second ball ω2 = 16.3…

Q: A 80.0 kg passenger is seated 12 m from the center of the loop of a roller coaster. What…

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Q: Assume that the Earth is a perfect sphere which rotates around its axis with constant angular…

A: The point P can be shown as below,

Q: An object is traveling on a circle with a diameter of 10 cm. If in 20 seconds a central angle of 1/3…

A: Diameter = 10 cm  Time ( ∆t ) = 20 second  Change in angular displacement ( ∆w ) = 1/3   Radius = 5…

Q: A space station (moment of inertia 5,000,000 kg•m2) is rotating with angular speed 0.30 rad/s when…

A: Moment of inertia of space station (I) = 5000000 kg m2Initial angular speed = 0.3 rad/sec number of…

Q: There are two points or on a disk with point 1 having a radius of 5 cm and point 2 has a radius of 1…

A: Given data:  Radius of point 1, r1=5.0 cm = 0.05 m Radius of point 2, r2=10 cm = 0.10 m Angular…

Q: How fast (in rpm) must a centrifuge rotate if a particle 7.8 cm from the axis of rotation is to…

A: The centripetal acceleration is a given by                                          a=ω2r…

Q: A 700g sphere rotates around a vertical pole supported by two ropes, as shown in the image below. If…

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Q: A 5 kg disk with a radius of 20 cm is spinning at 20 rpm. A clump of clay is dropped on the edge of…

A: Given Data:- Mass of the disk is md=5 kg Radius of the disk is r=20 cm=20 cm×1 m100 cm=0.20 m…

Q: A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 477.0 N. At…

A: We have been given that Wieght W = 477 NAt the top the difference between apparant and true weight…

Q: What is the tangential velocity of the ball at any point on its path? 0.3142 rad/s 0.3142 m/s…

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Q: 1.25 kg ball begins rolling from rest with constant angular acceleration down a hill. If it takes…

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Q: Suppose you are standing within the rim of a circular space station, in outer space. The rim…

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Q: An object rotates through 5.2 radians in 4.6 seconds as it accelerates uniformly from rest. What is…

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Q: Disk 1 has a radius r and rotates with an angular velocity v. A point on the rim ofdisk 1 has a…

A: Let the radius of Disk 1 and 2 be r1 and r2 respectively, tangential speed of disk 1 and 2 be V'1…

Q: A turntable is off and is not spinning. A 1.5 g ant is on the disc and is 10 cm away from the…

A: Soluction

Q: The blades of fan running at low speed turn at 65 rad/sec. when the fan goes in high speed , the…

A: ω0 = 65 rad /sec ω = 95 rad /sec ∆T = 5.5 seconds . To find = a) Magnitude of angular acceleration…

Q: A turntable rotates clockwise at 80 rpm. A speck of dust on the turn table has an angular position…

A: Angular speed =80 rpm=80rotations60 s=80×2π rad60 s=2.67π rad in 7.5 s angle moved 7.5×2.67π=20π…

Q: The angular position of a rod varies as 23.7t2 radians from time t = 0. The rod has two beads on it…

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Q: A 2.0 kg ball is attached to a rope that forces the ball to travel along a circular path in a…

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Q: Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting…

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Q: Calculate the angular momentum of a 220 kg motorcycle traveling at 45 m/s, and traveling around a…

A: Given : Mass of motorcycle = 220 kg Speed of motor cycle = 45 m/s Radius of circular curve = 600 m…

Q: A wheel that is 34.0 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly…

A: Rotational motion can be defined as the motion of an object around a circular path in a fixed orbit.…

Q: The flagella of a bacterium can rotate very rapidly. If a flagellum rotates at a uniform angular…

A: Angular speed is 1000rad/s (uniform) Angular displacement is 0.5 rev

Q: A wooden stick weighing 1.0 kg and 40 cm long can be rotated around a rectangular axis which is…

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Q: A student sets a top spinning clockwise at 218 rad/s. The top gradually slows down as it rotates…

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Q: The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5…

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Q: A circular space station with a radius of 72 m has just been completed. In order to provide…

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Q: An ultracentrifuge accelerates from rest to 96200 rpm in 1.95 min. Randomized Variables f = 96200…

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

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Q: A wheel 1.0 m in radius rotates with an angular acceleration of 4.0rad/s2. The tangential…

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Q: #16. The frequency of a merry go round is 5 times per minute. What is the tangential velocity of the…

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Q: A propeller with a radius of 1.2 meters is rotating at 1,400 revolutions per minute. What is the…

A: we can find velocity at tip of propeller by simple velocity equation .

Q: A wheel of radius 10 inches is rotating 0.6 rad/s. What is the linear speed v, the angular speed in…

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Q: A 2.5 kg disk of radius 0.25 m is free to rotate about an axis at its center. What force, exerted as…

A: mass of disk = 2.5 kg radius of disk = 0.25 m angular acceleration = 15 rad/sec2Using , torque =…

Q: How fast (in rpm) must a centrifuge rotate if a particle 6.7 cm from the axis of rotation is to…

A: distance of particle from the axis of rotation (d) = 6.7 cm = 0.067 m acceleration (a) = 200000 g

Q: Imagine that you could see a wheel spinning while speeding up, so you know that the angular velocity…

A: The direction of the angular velocity is given by the right-hand rule. According to the right-hand…

Q: A 1.7 kgkg , 20-cmcm-diameter turntable rotates at 140 rpmrpm on frictionless bearings. Two 450 gg…

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Q: A solid sphere with a diameter of 0.140 m is released from rest it then rolls without slipping down…

A: Given: diameter = 0.140m; h = 0.610 m; d (horizontal distance) = ?

Q: A 5 kg ball takes 13.7 seconds for one revolution around the circle. What's the magnitude of the…

A: Mass of ball = 5 kg  Time taken to complete one revolution = 13.7 seconds  Angular velocity (w) is…

Q: 1. After accelerating a merry-go-round has an angular acceleration of 0.45 radians per second…

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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.