Question

A horizontal spring (k=400N/m) with a mass of 0.70kg attached to it's undergoing simple harmonic motion. Calculate the(a) period of oscillation, (b) frequency, and (c) angular frequency of the oscillator

Answer 1

Period:

$$T=2\pi\sqrt{m/k}=0.26\text{ s}.$$

Frequency:

$$f=1/T=3.8\text{ Hz}.$$

Angular frequency:

$$\omega=2\pi f=23.9\text{ rad/s}.$$