The angular velocity and the amplitude of a simple pendulum

The angular velocity and the amplitude of a simple pendulum is ω and a respectively. At a displacement x from the mean position if its kinetic energy is T and potential energy is V, then the ratio of T to V is

P.E. , V =	1	mω² x²
	2

and K.E., T =	1	mω²(a² - x²)
	2

∴	T	=	a² - x²
	V		x²

	(a² - x² ω²)
	x² ω²

	x² ω²
	(a² - x² ω²)