Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: грm

Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: грm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.40 m . The merry‑go‑round is spinning at 16.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg . If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses. Note: 1 Revoultion = 2π radians 20.2 rpm 18.3 rpm 12.2 rpm 5.61 rpm
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.827 rad/s. You, with a mass of 74.5 kg,walk clockwise around the platform along its edge at the speed of 1.13 m/s with respect to the platform. Your 20.5 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 18.7 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 90.9 kg and radius 1.87 m. Calculate the total angular momentum of the system.
A rotating table, with moment of inertia 29 kg·m2, is spinning at 40 rpm. A piece of clay is dropped onto the table, where it sticks a distance 1.2 m from the rotational axis. If the final angular speed of the rotating table and clay is 32 rpm, what is the mass of the clay?
A disk-shaped merry-go-round of radius 2.53 mm and mass 135 kg rotates freely with an angular speed of 0.641 rev/s . A 65.4 kg person running tangential to the rim of the merry-go-round at 3.51 m/sm/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. What is the final angular speed of the merry-go-round?
A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.795 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5 rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?
In a lab experiment, a student brings up the angular speed of a flywheel to 50 rpm. She then allows the flywheel to slow down on its own and counts 85 revolutions before it comes to a stop. The rotational inertia of the flywheel is 0.095 kg·m². What is the retarding torque on the flywheel? (rpm = rev/min)
Three children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 22 rpm A. What is the moment of inertia of the merry-go-round plus the children in kg⋅m2? B. If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2? C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
A figure skater with her arms outstretched has a moment of inertia of 4.08 kg-m2. When she brings her arms in to her chest, her moment of inertia drops to 2.53 kg-m2. If she spins at a rate of 64.2 rpm with her arms outstretched, calculate her new rotation rate (in rpm) when she brings her arms in.
Change in angular momentum. In the figure below, a Texas cockroach with mass m = 0.0470 kg (they are large) rides on a uniform disk of mass M = 10.8m and radius R = 0.0960 m. The disk rotates like a merry-go-round around its central axis. Initially, the cockroach is at radius r = R and the angular speed of the disk is w; = 0.910 rad/s. Treat the cockroach as a particle. The cockroach crawls inward to r = 0.330R. What is the change in angular momentum of (a) the cockroach-disk system, (b) the cockroach, and (c) the disk? (a) Number (b) Number (c) Number p. Units Units Units Rotation axis ◄►
Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg105 kg and a radius of 1.80 m1.80 m . The merry‑go‑round is spinning at 20.0 rpm.20.0 rpm. The children have masses of 22.0,22.0, 28.0,28.0, and 33.0 kg.33.0 kg. If the 28.0 kg28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses.
A merry-go-round of radius R = 2.6 m has a moment of inertia I = 223 kg × m2, and is rotating at 10 rpm. A child whose mass is 44 kg jumps onto the edge of the merry-go-round with a speed of 4.5 m/s in a direction tangential to the rim of the MGR, and in the direction in which it is spinning. The new angular speed (in rpm) of the merry-go-round is approximately
Two big bugs, Buzz and Crunchy each of mass 0.65 kg, 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 3 m and it rotates once every 1.2 s. What is the magnitude of the net force on Buzz, in Newtons? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.