Conversion method
Angular acceleration is the change in angular velocity per second, not rotational speed. One revolution is 2π radians.
°/s² = x × 57.29577951308232
10 rad/s² = 572.957795 °/s².
| rad/s² | °/s² |
|---|---|
| 1 | 57.29578 |
| 5 | 286.478898 |
| 10 | 572.957795 |
| 25 | 1432.394488 |
| 50 | 2864.788976 |
| 100 | 5729.577951 |
Unit definitions and sources
Angular acceleration is the change in angular velocity per second, not rotational speed. One revolution is 2π radians.
| Unit and system | Use | Definition | Relationship |
|---|---|---|---|
| Radian per second squared (rad/s²); si | Common units | Radian per second squared: base (rad-s2) = value × 1. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
| Degree per second squared (°/s²); si | Common units | Degree per second squared: base (rad-s2) = value × 0.017453292519943295. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
| Revolution per second squared (rev/s²); si | Specialist units | Revolution per second squared: base (rad-s2) = value × 6.283185307179586. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
| RPM per second (rpm/s); si | Specialist units | RPM per second: base (rad-s2) = value × 0.10471975511965977. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
| Revolution per minute squared (rev/min²); si | Specialist units | Revolution per minute squared: base (rad-s2) = value × 0.0017453292519943296. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
| Radian/square minute (rad/(min²)); other | Specialist units | radian/square minute = 0.0002777777777777778 rad-s2, derived from the component SI/customary definitions. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
| Revolution/minute/second (rev/(min)/(s)); other | Specialist units | revolution/minute/second = 0.10471975511965977 rad-s2, derived from the component SI/customary definitions. Common use: Angular Acceleration. Source checked 2026-09-20 (implementation review). | Exact definition; numerical display may be rounded |
Sources: NIST: SP 811 Appendix B.8: conversion factors; BIPM: SI prefixes
Precision of angular acceleration conversions
All 7 angular acceleration units convert through Radian per second squared (rad/s²). 7 have an exact defined relationship to the base unit and 0 are conventional or measured values. Results and the tables on this page come from the same engine, so a table value can be checked against the converter directly.
Standard display shows up to six decimal places, switching to scientific notation for very large or small values. Calculation uses JavaScript binary floating point independently of display rounding, so extra digits are not a claim about measurement accuracy. Each unit lists its own source; a citation records where the definition comes from, not an independent review. See Conversion methodology for the review and correction process.