11 F4%5TGBProblem 12.81A merry-go-round is a common piece of playgroundequipment. A 3.0-m-diameter merry-go-round,which can be modeled as a disk with a mass of 250kg, is spinning at 25 rpm. John runs tangent tothe merry-go-round at 4.6 m/s, in the samedirection that it is turning, and jumps onto the outeredge. John's mass is 30 kg.6F5YH&7F6UJ*8F7K(9F8>OKDELLPF9日租BER?{Part AProvide Feedback[W = 23What is the merry-go-round's angular velocity, in rpm, after John jumps on?Express your answer in revolutions per minute to two significant figures.ΨΕ ΑΣΦSubmitF10X Incorrect; Try Again; 5 attempts remaining+ 11F11}1Previous Answers Request Answer9 +►llF12BackspaceCEnterShift*****InsertPrintScreenDeleteHomeScrollLockEndrpmPgUpPauseBreak11 of 16Review | ConstantsPgDn4xNumNextLock7Help3:30 PM11/26/2023>Homete8

Answered: Image /qna-images/answer/11e8fa76-d8ad-45ab-bbe5-c4aae6aa4851.jpg

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 250 kg, is spinning at 25 rpm. John runs tangent to the merry-go-round at 4.6 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. Part A What is the merry-go-round's angular velocity, in rpm, after John jumps on? Express your answer in revolutions per minute to two significant figures. VE ΑΣΦ 1 W= 23 Submit In ? rpm

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 250 kg, is spinning at 25 rpm. John runs tangent to the merry-go-round at 4.6 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. Part A What is the merry-go-round's angular velocity, in rpm, after John jumps on? Express your answer in revolutions per minute to two significant figures. VE ΑΣΦ 1 W= 23 Submit In ? rpm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 2P: A bicycle tire is spinning clockwise at 2.50 rad/s. During a time period t = 1.25 s, the tire is...

See similar textbooks

Similar questions

A compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the tangential speed of a point at the edge of the disc? (b) At a point halfway to the center of the disc?
A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway between the center and the rim. What is the ratio of (a) the angular velocity A to that of B and (b) the tangential velocity vA to that of vB?
A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be approximated by a single rod rotating about its center of mass. The propeller starts from rest and rotates up to 1200 rpm in 30 seconds at a constant rate. (a) What is the angular momentum of the propeller at t=10s ; t=20s ? (b) What is the torque on the propeller?
A particle moves 3.0 m along a circle of radius 1.5 m. (a) Through what angle does it rotate? (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity? (c) What is its acceleration?
A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an angular velocity of 240 rev/min. What is the angular momentum of the stick if the rotation axis (a) passes through the center of the stick? (b) Passes through one end of the stick?
With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a constant angular acceleration. (a) What is its angular acceleration in rad/s2 ? (b) How many revolutions does it go through in the process?
A bicycle tire is spinning clockwise at 2.50 rad/s. During a time period t = 1.25 s, the tire is slopped and spun in the opposite (counterclockwise) direction, also at 2.50 rad/s. (Calculate (a) the change in the tires angular velocity and (b) the tire's average angular acceleration av.
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?
A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 10.0 rad/s. The bug crawls to the center of the disk. (a) What is the new angular velocity of the disk? (b) What is the change in the kinetic energy of the system? (c) If the bug crawls back to the outer edge of the disk, what is the angular velocity of the disk then? (d) What is the new kinetic energy of the system? (e) What is the cause of the increase and decrease of kinetic energy?
The velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?
A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?