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mel-nik [20]
3 years ago
9

When was Angular Momentum Conserved?

Social Studies
1 answer:
Varvara68 [4.7K]3 years ago
5 0
We know that <span>L=Iω</span> That is Angular momentum is equal to product of moment of inertia and angular velocity.

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

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

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

τ=0</span>then <span>d</span><span>L</span><span>/</span><span>d</span><span>t</span><span>=</span><span>0</span>
in other words <span>d(Iω)/dt=0</span>

because <span>
dL/dt=d(Iω)/dt</span><span>
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</span>
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