Couple applied to rotating body

A question is this type if and only if it involves a constant couple (or torque) applied to a rotating body and asks for angular acceleration, angular speed after a given rotation, or time taken, using rotational equations of motion or work-energy methods.

1 questions · Standard +0.3

6.05a Angular velocity: definitions
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OCR M4 2005 June Q1
4 marks Standard +0.3
1 A wheel is rotating freely with angular speed \(25 \mathrm { rad } \mathrm { s } ^ { - 1 }\) about a fixed axis through its centre. The moment of inertia of the wheel about the axis is \(0.65 \mathrm {~kg} \mathrm {~m} ^ { 2 }\). A couple of constant moment is applied to the wheel, and in the next 5 seconds the wheel rotates through 180 radians.
  1. Find the angular acceleration of the wheel.
  2. Find the moment of the couple about the axis.