6 A particle, of mass 4 kg , is attached to one end of a light inextensible string of length 1.2 metres. The other end of the string is attached to a fixed point \(O\). The particle moves in a horizontal circle at a constant speed. The angle between the string and the vertical is \(\theta\).
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1. Find the radius of the horizontal circle in terms of \(\theta\).
2. The angular speed of the particle is 5 radians per second. Find \(\theta\).