A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled by a force 52.5 N. Find the angular acceleration in rad s⁻².
Physics · Rotational Motion · rotational constrain motion
13 April 2023 Evening Shift

Question

A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled by a force 52.5 N. Find the angular acceleration in rad s⁻².

G1 Physics · Accepted Answer

For a hollow cylinder, I = MR² Applied torque: τ = FR Using: τ = Iα FR = MR²α Therefore, α = F/(MR) = 52.5/(5 × 0.70) = 52.5/3.5 = 15 rad s⁻² Final answer: 15.