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Question: The angular momentum of a rotating body changes from A<sub>0</sub> to 4A<sub>0</sub> second in 4 sec...

The angular momentum of a rotating body changes from A0 to 4A0 second in 4 second. The Torque acting on the body is

A

34A0\frac{3}{4}A_{0}

B

4 A0

C

3A0

D

32A0\frac{3}{2}A_{0}

Answer

34A0\frac{3}{4}A_{0}

Explanation

Solution

τ = dLdt=4A0−A04=3A04\frac{dL}{dt} = \frac{4A_{0} - A_{0}}{4} = \frac{3A_{0}}{4}