# Physics

A 900-kg merry-go-round (a flat, solid cylinder) supports 10 children, each with a mass of 50.0 kg, located at the axis of rotation (thus you may assume the children have no angular momentum at that location). You need to describe a plan to move the children such that the angular velocity of the merry-goround decreases to one-half its initial value. ou decided to redistribute the children around the merry-go-round so that each one is the same distance, R(Child), from the rotation axis.

Find R(Child) in terms of R(Merry-Go-Round).

1. 👍 0
2. 👎 0
3. 👁 147
1. well, one wants to change the moment of inertia to half. Flat cylinder? should be more like a disk, to me.

Initial I=1/2 900* r^2
final I= 2x of that initial

final I= 1/2 900*r^2+500c^2 where c is the radius of the child from center.
900*r^2=1/2 900*r^2+500c^2
450 r^2=500c^2

solve for c,

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

A playground merry-go-round made in the shape of a solid disk, has a diameter of 2.63 m and a mass of 353.9 kg. Two children, each of mass 30.5 kg, sit on opposite sides at the edge of the platform. Approximate the children as

2. ### physics

Two children (m = 34.0 kg each) stand opposite each other on the edge of a merry-go-round. The merry-go-round, which has a mass of 1.60 ✕ 10^2 kg and a radius of 1.6 m, is spinning at a constant rate of 0.34 rev/s. Treat the two

asked by Anonymous on April 18, 2018
3. ### Physics

A horizontal 873 N merry-go-round of radius 1.11 m is started from rest by a constant horizontal force of 70.6 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 3.59 s. The

asked by Caryn on March 26, 2010
4. ### physics

A horizontal 810-N merry-go-round of radius 1.70 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a

asked by Z on November 1, 2009
5. ### physics

A horizontal 790-N merry-go-round of radius 1.30 m is started from rest by a constant horizontal force of 50 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a

asked by monic on November 30, 2012
6. ### Physics

A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kgm^2. A child pushes the merry-go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 Nm

asked by Bell on January 20, 2010
7. ### physics

A merry go round in the park has a radius of 1.8 m and a rotational inertia of 900 kg-m^2. A child pushes the merry go round with a constant force of 80 N applied at the edge and parrallel to the edge. A frictional torque of 12 Nm

asked by Mare on November 18, 2009
8. ### PHYSICS (HELP)

A playground merry-go-round has a radius of R= 2 m and has a moment of inertia Icm= 9×103kg⋅m2 about a vertical axis passing through the center of mass. There is negligible friction about this axis. Two children each of mass m=

asked by Anonymous on November 9, 2013
9. ### Physics Classical Mechanics

A playground merry-go-round has a radius of R= 2 m and has a moment of inertia Icm= 9×103kg⋅m2 about a vertical axis passing through the center of mass. There is negligible friction about this axis. Two children each of mass m=

asked by A on November 7, 2013
10. ### physics

A merry-go-round in a playground has a mass of 200 kg and radius of 1.50 m. You apply a force F = 23 N tangentially to the edge of the merry-go-round for a time of 6.5 s. The moment of inertia of the merry-go-round is 1/2(mR2).

asked by jen on December 9, 2011

More Similar Questions