2 A smooth wire is bent to form a circle of radius 2.5 m ; the circle is in a horizontal plane. A small ring of mass 0.2 kg is travelling round the wire.
- At one instant the ring is travelling at an angular speed of 120 revolutions per minute.
(A) Calculate the angular speed in radians per second.
(B) Calculate the component towards the centre of the circle of the force exerted on the ring by the wire. - Why must the contact between the wire and the ring be smooth if your answer to part (i) ( \(B\) ) is also the total horizontal component of the force exerted on the ring by the wire?