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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Easy2 minPYQ_2020

PhysicsEasysingle choice

A wheel of the radius $0.4 m$ can rotate freely about its axis. 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, the moment of inertia of the wheel is ( $g = 10 m s^{- 2}$ )

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Answer:

Solution:

Given, $r = 0.4 m$ ,

$α = 8 rad s^{- 2}$

$m = 4 kg$ , $I = ?$

Torque, $τ = I α$

$\Rightarrow mgr = I α$

or $4 \times 10 \times 0.4 = I \times 8$

$\Rightarrow$ $I = \frac{16}{8} = 2 kg m^{2}$

Or $I = 2 {kg m}^{2}$

Subject:PhysicsTopic:RotationSubtopic:Calculation of M.I.

⏱ 2mℹ️ Source: PYQ_2020

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