2 A circular wheel is modelled as a uniform disc of mass 6 kg and radius 0.25 m . It is rotating with angular speed \(2 \mathrm { rad } \mathrm { s } ^ { - 1 }\) about a fixed smooth axis perpendicular to its plane and passing through its centre. A braking force of constant magnitude is applied tangentially to the rim of the wheel. The wheel comes to rest 5 s after the braking force is applied. Find the magnitude of the braking force and the angle turned through by the wheel while the braking force acts.