Two children are riding on a merry$-$go$-$round. Child A is at a greater distance from the axis of rotation than child B $.$ Which child has the larger angular velocity? Both children are at fixed positions on the rigid merry$-$go$-$round.

In order to find the angular velocities, we need to know the moment of inertia of the merry$-$go$-$round.

child B

childA

In order to find the angular velocity we need to know the masses.

Both have the same angular velocity.