Three children are riding on the outer edge of a merry-go-round that has a mass of 113 kg and a radius of 2.2 meters, and is spinning at 17 revolutions per minute. The masses of the children are 37 kg, 28 kg, and 21 kg. If the 37 kg child moves to the center of the merry-go-round with their distance from the center is 0 instead of 2.2 meters, what will be the new spin rate?

Three children are riding on the outer edge of a merry-go-round that has a mass of 113 kg and a radius of 2.2 meters, and is spinning at 17 revolutions per minute. The masses of the children are 37 kg, 28 kg, and 21 kg. If the 37 kg child moves to the center of the merry-go-round with their distance from the center is 0 instead of 2.2 meters, what will be the new spin rate?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 45PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...

See similar textbooks

Similar questions

Why is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
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 satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius 2.0 m and mass 10,000 kg, and two antennas projecting out from the center of mass of the main body that can be approximated with rods of length 3.0 m each and mass 10 kg. The antenna’s lie in the plane of rotation. What is the angular momentum of the satellite?
A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to the ground of 20.0 m/s. The bird has a mass of 2.0 kg. The radius vector to the bird makes an angle with respect to the ground. The radius vector to the bird and its momentum vector lie in the xy-plane. What is the bird’s angular momentum about the point where you are standing?
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 17.4, 29.5, and 40.8 kg. If the child who has a mass of 29.5 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?
A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR for rotation about its center of mass parallel to the z-axis. %3D Ihemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Ansert Format Tools Table COREI
A 3m diameter merry-go-round with a mass of 250kg is spinning at 20 rpm. John runs tangent to the merry-go-round at 5m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30kg. What is the merry-go-round's angular velocity, in rpm, after John jumps on?
A ride at a carnival has four spokes to which pods are attached that can hold two people. The spokes are each 15 m long and are attached to a central axis. Each spoke has mass 200.0 kg, and the pods each have mass 100.0 kg. If the ride spins at 0.2 rev/s with each pod containing two 50.0-kg children, what is the new spin rate if all the children jump off the ride?
Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.7 m, and is spinning at 19 rpm. The children have masses of 21.6 kg, 27.6 kg, and 35 kg.M = 98 kgm1 = 21.6 kgm2 = 27.6 kgm3 = 35 kgr = 1.7 mf = 19 rpm If the child who has a mass of 27.6 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? f' =
Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are μs = 0.80 and μk= 0.60. What is Crunchy's speed, in m/s?
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.897 rad/s. You, with a mass of 74.1 kg. walk clockwise around the platform along its edge at the speed of 1.15 m/s with respect to the platform. Your 20.3 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.3 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 92.7 kg and radius 1.99 m. Calculate the total angular momentum Lot of the system. Lot 2 kg-m²/s