6 A light inextensible string has one end attached to a particle, \(P\), of mass 2 kg . The other end of the string is attached to the fixed point \(A\). The point \(A\) is vertically above the point \(B\). The particle moves at a constant speed in a horizontal circle of radius 0.8 m and centre \(B\). The tension in the string is 34 N . The string is inclined at an angle \(\theta\) to the vertical, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{85514b55-3f13-4746-a3ef-747239b64cca-4_760_816_1436_596}

1. Find the angle \(\theta\).
2. Find the speed of the particle.
3. Find the time taken for the particle to make one complete revolution.