A merry-go-round of radius r= 2.0 m and moment of 500 kg.m^2 rotates about a frictionless pivot. It makes one revolution every 5 seconds. A child of mass 25kg walks from the center (r=0) to the edge (r=R).
How long does it take the merry-go-round to make one revolution when the child is standing at the edge? (The moment of inertia of a circular disc is I=1/2mR^2)
Is this process elastic? (That is, is the kinetic energy the same when the child is at r=0 and r+R?) Explain your answer
A merry-go-round of radius r= 2.0 m and moment of 500 kg.m^2 rotates about a frictionless...
A playground merry-go-round of radius R = 2.10 m has a moment of inertia of I = 260 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 23.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round?
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg · m2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 24.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/min
A playground merry-go-round of radius R = 2.2C m has a moment of inertia I = 265 kg middot m^2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
A playground merry-go-round of radius R = 2.07m has a moment of inertia of I = 219kgm^2 and is rotating at 13.5rev/min about a frictionless vertical axle. Facing the axle, a 23.6kg child hops onto the merry-go-round and manages to sit down on its edge. How much work was done by the child?
A 25 kg boy stands 2.1 m from the center of a frictionless playground merry‐go‐round, which has a moment of inertia of 200 kg m2 and is spinning with one revolution every two seconds. The child moves inward to a radius of 1.5 m. a) What is the initial angular velocity of the merry‐go‐round? b) What is the new angular velocity of the merry‐go‐round, after the child moves? c) By how much did the kinetic energy of the merry‐go‐round increase?...
A disc-shaped merry-go-round has a mass of 100 kg and a radius of 1.60 m and is initially spinning at 20.0 rpm, with a 33-kg child sitting at its center. The child then walks out to the edge of the disc. (a) Find the initial and final moments of inertia of the system (disc + child), treating the child as a point particle. (b) State why the system’s angular momentum is conserved. (You can assume that the axis of the...
46. W A playground merry-go-round of radius R 2.00 m has a moment of inertia 1 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
A playground merry-go-round of radius R = 2.20 m has a moment of inertia of I = 280 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 21.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round? 8.04 rad/s 0.845 rad/s 3.17 rad/s 1.18 rad/s 0.445 rad/s
A playground merry-go-round has a radius of R = 4.0m and has a moment of inertia I_cm = 7.0 times 10^3 kg middot m^2 about an axis passing through the center of mass. There is negligible friction about its vertical axis. Two children each of mass m = 25kg are standing on opposite sides a distance r_0 = 3.0m from the central axis. The merry-go-round is initially at rest. A person on the ground applies a constant tangential force of...