A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure. The established torque produces an angular acceleration of 2 . Moment of inertia of the wheel is _____ . (Ac

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Solution

Q.

A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure. The established torque produces an angular acceleration of 2 $rad / s^{2}$ . Moment of inertia of the wheel is _____ ${kgm}^{2}$ . (Acceleration due to gravity = 10 $m / s^{2}$ ) [2025]

Ans.
(1)

$τ = F R = I α$

$\Rightarrow I = \frac{F R}{α} = \frac{10 \times 0.2}{2} = 1 {kgm}^{2}$

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