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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationMedium2 minPYQ_2012

PhysicsMediumsingle choice

A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of $8 rad/s^{- 2}$ is produced in it due to the torque. Then, moment of inertia of the wheel is $(g = 10 ms^{- 2})$

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Answer:

Solution:

Given, $r = 0.4 m$ $α = 8 rad / s^{- 1}$ $m = 4 kg, I =$ ? Torque, $τ = I α$ $m g r = I \cdot α$ or $4 \times 10 \times 0.4 = I \times 8$ $\Rightarrow I = \frac{16}{8} = 2 kg - m^{2}$ or $I = 2 kg - m^{2}$

Stream:JIPMERSubject:PhysicsTopic:RotationSubtopic:Torque / angular acceleration

⏱ 2mℹ️ Source: PYQ_2012

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