How do you calculate the period and frequency of simple harmonic motion?

To calculate the period and frequency of simple harmonic motion, we use the formula T=2π√(m/k) and f=1/T.

The period (T) of a simple harmonic motion is the time taken for one complete oscillation. It is measured in seconds (s). The formula to calculate the period is T=2π√(m/k), where m is the mass of the object in kilograms (kg) and k is the spring constant in newtons per meter (N/m). The period is independent of the amplitude of the motion.

The frequency (f) of a simple harmonic motion is the number of oscillations per unit time. It is measured in hertz (Hz). The formula to calculate the frequency is f=1/T. The frequency is dependent on the period and is inversely proportional to it. Therefore, as the period increases, the frequency decreases.

In summary, to calculate the period and frequency of simple harmonic motion, we use the formulas T=2π√(m/k) and f=1/T. The period is the time taken for one complete oscillation and is independent of the amplitude of the motion. The frequency is the number of oscillations per unit time and is inversely proportional to the period.