A simple pendulum 40 inches in length is oscillating in harmonic motion. The bob at the end of the pendulum swings through an arc of 32 inch ( far left to far right half cycle ) in about .6 seconds what is equation for this harmonic motion?
10 pts to best answer
10 pts to best answer
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general form theta = Asin(wt) where A is amplitude in radians and w is angular rate in radians/sec.
A = 16/40 radians
w = 2*Pi*f or 2*Pi/T where f is frequency in Hz or T is period in sec.
w = 2*Pi/1.2 = Pi/0.6
Theta = 16/40*sin(Pi/0.6)t
A = 16/40 radians
w = 2*Pi*f or 2*Pi/T where f is frequency in Hz or T is period in sec.
w = 2*Pi/1.2 = Pi/0.6
Theta = 16/40*sin(Pi/0.6)t