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A rope is around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

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0.25 rad/s²

25 rad/s²

5 m/s²

25 m/s²

answer is B.

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Detailed Solution

$\begin{array}{l} τ = Iα \\ RF = {mR}^{2} α \end{array}$

$α = \frac{F}{mR} = \frac{30}{3 \times \frac{40}{100}} = 25 rad / s^{2}$

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