Spring Period/Frequency
Table of Contents
The formula for the period of a spring in simple harmonic motion is:
$$ T_s = 2 \pi \sqrt{\frac{m}{k}} $$
Where
- \(\small T_s\) is the period of oscillation,
- \(\small m\) is the mass attached to the spring, and
- \(\small k\) is the spring constant of the spring.
The frequency of oscillation is the reciprocal of the period:
$$ f_s = \frac{1}{2 \pi} \sqrt{\frac{k}{m}} $$
Where
- \(\small f_s\) is the frequency of oscillation.