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Radians per second to Hertz (rad/s to Hz)
Convert radians per second to hertz: 1 rad/s = 0.159155 Hz. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.
Formula
1 rad/s = 0.159155 Hz
hertz = radians per second × 0.1591549431 — reverse: radians per second = hertz × 6.283185307
The factor is derived from the SI definitions of both units (base unit: Hz) as listed in NIST SP 811; results on this page are shown to 6 significant figures, the API returns up to 12.
Worked examples
- 5 rad/s = 0.795775 Hz
- 12.5 rad/s = 1.98944 Hz
- 100 rad/s = 15.9155 Hz
Radians per second to hertz conversion table
| Radians per second (rad/s) | Hertz (Hz) |
|---|---|
| 1 | 0.159155 |
| 2 | 0.31831 |
| 3 | 0.477465 |
| 4 | 0.63662 |
| 5 | 0.795775 |
| 6 | 0.95493 |
| 7 | 1.11408 |
| 8 | 1.27324 |
| 9 | 1.43239 |
| 10 | 1.59155 |
| 15 | 2.38732 |
| 20 | 3.1831 |
| 25 | 3.97887 |
| 30 | 4.77465 |
| 40 | 6.3662 |
| 50 | 7.95775 |
| 75 | 11.9366 |
| 100 | 15.9155 |
| 200 | 31.831 |
| 250 | 39.7887 |
| 500 | 79.5775 |
| 1000 | 159.155 |
FAQ
How many hertz are in one radian per second?
1 rad/s = 0.159155 Hz. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures.
What is the formula to convert radians per second to hertz?
Multiply the value in radians per second by 0.1591549431: hertz = radians per second × 0.1591549431. For example, 5 rad/s = 0.795775 Hz.
How do I convert hertz back to radians per second?
Multiply by the inverse factor 6.283185307 (radians per second = hertz × 6.283185307), or use the hertz-to-radians per second page.
Related conversions
- Hertz to radians per second (reverse)
- Frequency Converter — all frequency units in one tool
- Hertz to Revolutions per minute (rpm)
- Revolutions per minute (rpm) to Hertz
- Radians per second to Revolutions per minute (rpm)
- Revolutions per minute (rpm) to Radians per second
- Gigahertz to Megahertz
- Megahertz to Gigahertz
- Megahertz to Kilohertz
- Kilohertz to Megahertz
Machine access
- API:
GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=rad%2Fs&to_unit=Hz - MCP: server
https://tttkmbb.com/mcp, toolconvert_unitswith{"value":5,"from_unit":"rad/s","to_unit":"Hz"} - Markdown: https://tttkmbb.com/conversion/rad-per-second-to-hz.md · JSON: https://tttkmbb.com/conversion/rad-per-second-to-hz.json (add
?value=for a result) · Units: /api/v1/units?quantity=frequency - OpenAPI operationId:
convert_units. Freshness:static. Authentication: none.