49.3k views
5 votes
When was Angular Momentum Conserved?

User Yanni
by
8.1k points

1 Answer

4 votes
We know that L=Iω That is Angular momentum is equal to product of moment of inertia and angular velocity.

Now differentiating with respect to time,
dL/dt=d(Iω)/dt

But we know that the rate of change of angular momentum is equal to net external
torque i.e.
dL/dt=τ


therefore if no exterannal torque is acting on the body i.e.

τ=0
then dL/dt=0
in other words d(Iω)/dt=0

because
dL/dt=d(Iω)/dt

Hence angular momentum is conserved or angular momentun does not change with time if the net external force acting on the body is zero.

hope this helps
User Jason Young
by
7.3k points