Help on Simple Harmonic Motion?

Question

The formula for the Periodic Time is T=2pi/w
How do I derive this result.
I know that x=A(Sin wt +e)
I think if I find the period of the above equation I'll get the answer
but how do I find the period?
If some of you are out of context
x=Extension
A=Amplitude

Answer 1

The key part there is the wt term.
wt, being the argument to the sine function, is angle in radians. Thus w is angular velocity in rad/sec. Then the angular velocity in cycles/sec, or frequency F in Hz =
w/(2pi).
T = 1/F = 2pi/w.