This is not a homework problem, but something that came to my attention. I attached a pic. The thin horizontal line in the pic represents the axis of rotation of pin. So the 1st one is rotation from +30 to -30 degrees and the second from 10 to -10 degrees. Let's assume both are rotating at 3Hz. So my question is that the equation ω=2*∏*f doesn't hold for this case right? If both are rotating at 3Hz, then the drawing on the left must be rotating at a larger angular speed because the amplitude is bigger. Is ω=2*∏*f only for something that experiences a cycle of 360 degrees? For the figure on the left, one cycle is 60 degrees, so 3 cycles is 180 degrees. So that means the angular speed is 180 degrees/s.