1 One end of a light inextensible string of length 2.8 m is attached to a fixed point \(O\) on a smooth horizontal table. The other end of the string is attached to a particle \(P\) which moves on the table, with the string taut, in a circular path around \(O\). The speed of \(P\) is constant and \(P\) completes each circle in 0.84 seconds.

1. Find the magnitude of the angular velocity of \(P\).
2. Find the speed of \(P\).
3. Find the magnitude of the acceleration of \(P\).
4. State the direction of the acceleration of \(P\).