The period of a pendulum, T, is assumed (correctly or incorrectly) to depend on

Question

The period of a pendulum, T, is assumed (correctly or incorrectly) to depend on the mass, m, the length of the pendulum, ?, the acceleration due to gravity, g, and the angle of swing, theta.  Using dimensional analysis, nondimensionalize the period, T, and express its dependence on theother non-dimensional terms. The period of a pendulum, T, is assumed (correctly or incorrectly) to depend on the mass, m, the length of the pendulum, ?, the acceleration due to gravity, g, and the angle of swing, theta.  Using dimensional analysis, nondimensionalize the period, T, and express its dependence on theother non-dimensional terms.

Explanation / Answer

T = f(m,L,g,theta)

T - s

m - kg

L - m

g - m/s^2

theta - rad

Taking m,L,g as repeating Variables

Pi 1 :

T/L^1/2*g^-1/2

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