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Intro to Torque

A constant to...

Question

A constant torque acting on a uniform circular wheel changes its angular momentum from $A_{0}$ to $4 A_{0}$ in $4$ sec. The magnitude of this torque is:

A

4 A_{0}

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B

A_{0}

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C

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

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D

12 A_{0}

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Solution

The correct option is C $\frac{3}{4} A_{0}$
Change in angular momentum $Δ L = L_{f} - L_{i} = 4 A_{o} - A_{o} = 3 A_{o}$
Time taken $Δ T = 4 s$
Magnitude of torque $τ = \frac{Δ L}{Δ T} = \frac{3 A_{o}}{4}$

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