Convert radians per second to hertz and hertz to rad/s instantly. Bidirectional angular frequency converter with formula and common values.
To convert radians per second to hertz, divide by 2π. This converts angular frequency back to ordinary (linear) frequency.
| rad/s | Hertz |
|---|---|
| 6.2832 | 1 |
| 31.416 | 5 |
| 314.16 | 50 |
| 376.99 | 60 |
| 628.32 | 100 |
| 6,283.2 | 1,000 |
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Divide the rad/s value by 2π (approximately 6.2832). For example, 314.16 rad/s = 50 Hz.
314.16 rad/s equals 50 Hz, which is the mains electricity frequency in Europe, Asia, and most of the world outside North America.
Angular frequency appears in simple harmonic motion (x = A sin(ωt)), wave equations, LC circuits, and quantum mechanics. It connects oscillation period T to angular displacement: ω = 2π/T.