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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 ?
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- 0.25 rad/s²
- 25 rad/s²
- 5 m/s²
- 25 m/s²
Correct Option: B
Given, mass of cylinder m = 3kg 
R = 40 cm = 0.4 m
F = 30 N ; α = ?
As we know, torque τ = Iα
F × R = MR²α
| α = | ||
| MR² |
| α = | or, α = 25red/² | |
| 3 × (0.4)² |
