Convert hertz to radians per second and rad/s to hertz instantly. Bidirectional frequency converter with formula and common values.
To convert hertz to radians per second, multiply by 2π. Each cycle (hertz) corresponds to 2π radians of angular displacement.
| Hertz | rad/s |
|---|---|
| 1 | 6.2832 |
| 5 | 31.416 |
| 50 | 314.16 |
| 60 | 376.99 |
| 100 | 628.32 |
| 1,000 | 6,283.2 |
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Multiply the hertz value by 2π (approximately 6.2832). For example, 50 Hz = 314.16 rad/s.
Angular frequency (omega, ω) measures how fast an object rotates in radians per second. It is the standard frequency unit in physics equations for oscillation, waves, and AC circuits.
Radians per second simplifies many physics and engineering formulas. For example, in AC circuits, impedance calculations use ω directly: X_L = ωL and X_C = 1/(ωC).