College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. A)What is the rotational inertia of the merry-go-round (consider it a disk)? B)What is the initial rotational inertia of John (consider him a point mass). C)What is the initial angular momentum, Lmgr, of the merry-go-round? (D)What is the initial angular momentum, LJ, of John? (E)What is the total initial angular momentum of the system? (F)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?arrow_forwardA cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration.After 18 s, the wheels have made 76 rev. What is the angular velocity of the wheels after 18 s in rad/s ? What is the angular acceleration of the wheels in rad/s2 ?If the radius of the wheel is 32 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 18 s?arrow_forwardThe turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off. Theturntable comes to rest 2.5 s after being turned off. Through how many radians does the turntablerotate after being turned off? Assume constant angular acceleration.arrow_forward
- A rotating wheel requires 9.00 s to rotate 27.0 revolutions. Its angular velocity at the end of the 9.00-s interval is 99.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel?arrow_forwardWhat is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 76.0 rev/min in 5.00 s? One second after the bug starts from rest, what is the magnitude of its tangential acceleration? One second after the bug starts from rest, what is the magnitude of its centripetal acceleration?arrow_forwardA cyclist starts from rest and pedals so that the wheels make 8.00 revolutions in the first 8.10 s. What is the angular acceleration of the wheels (assumed constant)?arrow_forward
- A motorcycle, which has an initial linear speed of 6.6 m/s,decelerates to a speed of 2.1 m/s in 5.0 s. Each wheel has a radius of 0.65 mand is rotating in a counterclockwise (positive) direction. What are (a) theconstant angular acceleration (in rad/s2) and (b) the angular displacement (inrad) of each wheel?arrow_forwardAt a time of 13D0 seconds the tires of a moving motorcycle are rotating with an unknown initial angular velocity, at that instant each tire starts accelerating with an angular acceleration of 3.00 rev/s2 for 5.00 seconds. Each tire turns through 50.0 revolutions in those 5.00 seconds. Assume the motorcycles tires have a radius of 36.0 cm and that the tires rotate without slipping relative to the road surface. How fast is the motorcycle traveling at t=5.0s?arrow_forwardA figure skater does a single-axle jump, turning 1.5 revolutions while in the air. The skater is in the air for 0.48 s, and his hands are located 0.69 m from the rotation axis. a) What is the angular velocity (in rad/s) of the skater during the leap? b) What is the linear tangential speed (in m/s) of the skater's hand? c) What is the centripetal acceleration (in m/s^2) of each of the skater's hands during the jump?arrow_forward
- With the aid of string , a gyroscope is accelerated from rest ro 32 rad/s in 0.41 s. What is the angular acceleration in radians per square seconds? How many revolutions does it go through in the process?arrow_forwardA particle moves in a circle of radius 80 m with a constant speed of 30 m/s. (a) What is its angular velocity in radians per second about the center of the circle? rad/s (b) How many revolutions does it make in 30 s? rev eBookarrow_forward(a) Calculate the linear acceleration of a car, the 0.240-m radius tires of which have an angular acceleration of 15.0 rad/s?. Assume no slippage and give your answer in m/s2. m/s? (b) How many revolutions do the tires make in 2.50 s if they start from rest? rev (c) What is their final angular velocity in rad/s? rad/s (d) What is the final velocity of the car in m/s? m/s Additional Materials O Readingarrow_forward
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