Question

an oscillating body takes 0.8 seconds to complete four cycles. What is the period, frequency, and angular frequency of the body

Answer 1

The period of oscillation

$$T=0.8\:\rm s$$

The frequency

$$f=\frac{1}{T}=\frac{1}{0.8\:\rm s}=1.25\:\rm Hz$$

The angular frequency

$$\omega=2\pi f\\ =2\pi\times 1.25\:\rm Hz=7.9\: rad/s$$