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` ?

Options

A. `0.25 rad//s^(2)`
B. `25 rad//s^(2)`
C. `5 m//s^(2)`
D. `25 m//s^(2)`

Explanation

To find the angular acceleration of the hollow cylinder when a rope is pulled with a force of 30 N, we can follow these steps:

### Step 1: Identify the given values
- Mass of the hollow cylinder (m) = 3 kg
- Radius of the hollow cylinder (r) = 40 cm = 0.4 m (convert cm to m)
- Force applied on the rope (F) = 30 N

### Step 2: Calculate the torque (τ) exerted on the cylinder
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