Define torque and explain its physical
meaning. A merry-go-round of radius 4.0 m
is set rotating clockwise from rest. It attains
an angular speed of 0.10 rad s-1 in 20 s.
What is the torque experienced by a child of
mass 25 kg sitting at the edge of the
merry-go-round ? When will the angular
momentum of this system be constant ?
1
Expert's answer
2018-06-17T08:36:08-0400
Torque is the cross product of force and displacement vector. It is the rotational force which causes the angular displacement.
Here, angular speed = 0.10 rad/sec. Angular acceleration = 0.1/20 = 0.005 rad/sec2. Now, moment of inertia = mass x (radius)2 = 25 x 16 [As mass = 25 kg, radius = 4 m] = 400 kg-m2 Now, the torque = moment of inertia x angular acceleration = 400 x 0.005 = 2 Newton-meter. When the net torque is zero, the angular momentum of the system will be constant.
Answer: The required torque is 2 N-m. And the angular momentum will be constant when the net torque is zero.
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