Problem : What is the period of oscillation of a mass of 40 kg on a spring with constant k = 10 N/m?
We have derived that T = 2Π . To find the period of oscillation we simply plug into this equation:
T = 2Π = 4Π seconds
No matter what initial conditions are placed on the system ,the period of oscillation will be same. Notice again that period, frequency and angular frequency are properties of the system, not of the conditions placed on the system.