A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The angular acceleration of the cylinder will be ________ rad . [2023]

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Solution

Q.
A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The angular acceleration of the cylinder will be ________ rad $s^{- 2}$ . [2023]

Ans.
(15)

$τ = I α \Rightarrow F R = m R^{2} α$

$α = \frac{F}{m R} = \frac{52.5}{5 \times 0.7} = {15 rad/s}^{- 2}$

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