प्राकृतिक आवृत्ति कैलकुलेटर — सूत्र

## Natural Frequency of a Spring-Mass System

Every elastic system has a natural frequency at which it tends to vibrate when disturbed.

### Formulas

**omega_n = sqrt(k / m)** (angular frequency in rad/s)

**f_n = omega_n / (2 pi)** (frequency in Hz)

**T = 1 / f_n = 2 pi / omega_n** (period in seconds)

Resonance occurs when the excitation frequency matches the natural frequency, leading to large amplitude vibrations that can cause structural failure.