Question

define period of conical pendulum and obtain expression for its period

Answer 1

Time period of a conical pendulum is defined as thetime taken by the pendulum tocomplete one ascillation.In balancing condition,T cosθ = mg---1.and T sinθ = mv2r---2.Dividing eqn 2 by eqn 1, we get,tanθ= v2rg = 4π2r2T2rg = 4π2rT2g.T = 2πrg tanθ, but from the diagram r = l sinθ, where l is the length of the pendulum.T = 2πlsinθg tanθ or T = 2πl cosθg.Where T istime period.