Question

A harmonic oscillator has a mass of 4 kg and a spring with a force constant 100

N/m. Find the period, frequency and angular frequency.

Answer 1

The period

$$T=2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{4}{100}}=0.4\pi=1.26\:\rm s$$

The frequency

$$f=1/T=1/1.26=0.8\:\rm Hz$$

The angular frequency

$$\omega=2\pi f=5\:\rm rad/s$$