What is the formula for period t?
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= 2π√m/k
Note that the sine function x(t) = Asin(2πt/T) is periodic – it repeats itself whenever t increases by the amount T: x(t+T) = x(t). This is the precise definition of “period”. The period formula, T = 2π√m/k, gives the exact relation between the oscillation time T and the system parameter ratio m/k.