A rope is wound 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?

5 m/s2 25 m/s2 0.25 rad/s2 25 rad/s2

25 rad/s2

\(\tau\) = F × R and \(\tau\) = I \(\alpha\) F x R =  I \(\alpha\) \(\alpha\) = \(\frac{F × R}{I}\)  On substituting values \(\alpha\) =\(\frac{30×40×10^{-2}}{3×40×40×10^{-4}}\)  \(\alpha\) = 25 rad/s2