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Question: A constant torque acting on a uniform circular wheel changes its angular momentum from A0 to 4A0 in ...

A constant torque acting on a uniform circular wheel changes its angular momentum from A0 to 4A0 in 4 seconds. the magnitude of this torque is:

A

3A04\frac{3A_{0}}{4}

B

A0

C

4A0

D

12A0.

Answer

3A04\frac{3A_{0}}{4}

Explanation

Solution

τ→=dL→dt=L2−L1Δt=4A0−A04=3A04\overset{\rightarrow}{\tau} = \frac{\overset{\rightarrow}{dL}}{dt} = \frac{L_{2} - L_{1}}{\Delta t} = \frac{4A_{0} - A_{0}}{4} = \frac{3A_{0}}{4}