Torques of equal magnitude are applied to hollow cylinder and a solid sphere, both having the same mass and same radius. The cylinder is free to rotate aabout its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. which of the two will aquire a greater angular speed after a given time ?

Explanation

To solve the problem of which object (the hollow cylinder or the solid sphere) will acquire a greater angular speed after a given time when equal torques are applied, we can follow these steps:

### Step 1: Understand the relationship between torque, moment of inertia, and angular acceleration.
The relationship is given by the equation:
\[ \tau = I \alpha \]
where \( \tau \) is the torque, \( I \) is the moment of inertia, and \( \alpha \) is the angular acceleration.
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