Answer to Question #90443 in Mechanics | Relativity for AWESOME

Question

The period T of a simple pendulum depends on the length L, mass, M of the pendulum bob, and the acceleration due to gravity g. using the method of dimensions, deduce the dimension of T

Answer 1

As far as

$$m^{x}kg^{y}m^{z}s^{-2z} = s,$$

then y = 0, z = - 0.5 and x = 0.5, therefore

$$T=k(\frac{L}{g})^{0.5}$$

where k is undementional constant.