Hey!!____▪Time PERIOD of a conical pendulum is defined as the time TAKEN by the pendulum to complete 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 = 2πl sinθg tanθ√ or T = 2πl cosθg−−−−√.Where T is time period.hope help u!!
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