1 A particle \(P\) of mass 2.4 kg is attached to one end of a light inextensible string of length 1.4 m . The other end of the string is attached to a fixed point \(O\) on a smooth horizontal table. \(P\) moves on the table at constant speed along a circular path with \(O\) at its centre. The magnitude of the tension in the string is 21 N .

1. (a) Find the magnitude of the acceleration of \(P\).
   (b) State the direction of the acceleration of \(P\).
2. Find the speed of \(P\).
3. Find the time taken for \(P\) to complete a single revolution.