1. The problem statement, all variables and given/known data Deriving the equation for simple harmonic motion, x = Asinωt, graphically. 2. Relevant equations ω = 2πf, where f = 1/T 2. The attempt at a solution Take a sine curve as the simple harmonic motion (displacement, x, on y-axis; time, t, on x-axis), then transform it. The min/max is the amplitude, so we can stretch the graph to say that x = Asin(t). However, I can't quite get my head around where the ω comes from - I realise that there is a horizontal stretch which must be somehow related to the time period, but I can't quite see why it is 2πf.