Physics

A merry-go-round with a a radius of R = 1.95 m and moment of inertia I = 192 kg-m2 is spinning with an initial angular speed of ω = 1.41 rad/s in the counter clockwise direection when viewed from above. A person with mass m = 63 kg and velocity v = 4.7 m/s runs on a path tangent to the merry-go-round. Once at the merry-go-round the person jumps on and holds on to the rim of the merry-go-round. What is the angular speed of the merry-go-round after the person lets go?

  1. 👍
  2. 👎
  3. 👁
  1. There is no change in the angular velocity because the person is moving at the rim speed before and after and therefore the total angular momentum does not change before and after. If he jumped on from a dead stop, the rotation would slow down but he is already at the right speed.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    2) A child sits on a merry-go-round, 1.5 meters from the center. The merry-go-round is turning at a constant rate, and the child is observed to have a radial acceleration of 2.3m/s^2. How long does it take for the merry-go-round

  2. Physics

    8. When a person stands on a rotating merry go round, the frictional force exerted on the person by the merry go round is (A) greater in magnitude than the frictional force exerted on the person by the merry go round (B) opposite

  3. Physics

    A merry-go-round is a common piece of playground equipment. A 2.4 m diameter merry-go-round with a mass of 300 kg is spinning at 22 rpm. John runs tangent to the merry-go-round at 5.0 m/s, in the same direction that it is turning,

  4. Math

    Mary is riding a merry-go-round, whose radius is 25 feet and which is turning 36 degrees per second. Seeing a friend in the crowd, she steps off the the outer edge of the merry-go-round and suddenly finds it necessary to run? At

  1. Math

    a merry-go-round has a radius of 20 ft has a duration per ride of 15 revolutions. How far does a person travel who rides on the merry-go-round? (use 3.14 for pi)

  2. physics

    At a playground, a 20-kg child sits on a spinning merry-go-round, as shown from above in (Figure 1) . The merry-go-round completes one revolution every 6.2 s, and the child sits at a radius of r=1.8m. a. What is the force of

  3. Physics

    A playground merry-go-round of radius R = 1.92m has a moment of inertia of I = 221kgm^2 and is rotating at 14.0rev/min about a frictionless vertical axle. Facing the axle, a 29.8kg child hops onto the merry-go-round and manages to

  4. 12th grade

    A bicycle wheel has a radius of 0.330 m and a rim whose mass is 1.20 kg. The wheel has 50 spokes, each with a mass of 0.010 kg. a.) Calculate the moment of inertia of the rim about the axle. b.) Determine the moment of inertia of

  1. physics

    A merry-go-round revolves at a rate of 8.3 rev/min. A child who is seated at the outer edge of the merry-go-round travels at 6.9m/s. What is the diameter of the merry-go-round?

  2. physics

    A runner of mass m = 58 kg and running at 2 m/s runs as shown and jumps on the rim of a playground merry-go-round which has a moment of inertia of 408 kg·m2 and a radius of 2 meters. Assuming the merry-go-round is initially at

  3. Physics

    What is the moment of inertia of an object that rolls without slipping down a 2.00-m-high incline starting from rest, and has a final velocity of 6.00 m/s? Express the moment of inertia as a multiple of MR2, where M is the mass of

  4. Physics

    Looking down from a stationary tree branch, a merry-go-round spins in a counterclockwise direction with an angular velocity of 1 radian per second. a squirrel of mass 0.2 kg sits on the outer rim of the merry-go-round, at a radius

You can view more similar questions or ask a new question.