Question

establish the relation between torque and angular momentum of a rigid body


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Answer 1

Answer:

torque is directly affecting the angular velocity of a spinning object. Since torque can change angular velocity, and the amount of angular momentum an object has depends on its angular velocity, it makes sense that torque can change angular momentum this is how the two are related.

Explanation:

Relation between torque and angular momentum is given by

r

net

=

dt

d

L

where,

r

→ torque acting on a body

L

→ angular momentum of body

Now if,

L

= constant

So,

dt

d

L

=0

⇒

r

net

=0

Hence,

If a body is rotating with constant angular momentum then, the net torque on the body will be zero.

hope it will help you..