One turn is exactly 2π radians
Angular velocity measures how quickly angular position changes. Radians per second is its SI unit; rpm and revolutions per second are common non-SI rotation-rate representations.
Signed inputs are preserved. The sign can represent direction on a chosen axis, but CalcOS does not decide whether clockwise or counterclockwise is positive.
Angular velocity and frequency need explicit units
Hertz and radians per second both reduce dimensionally to reciprocal seconds, but they describe different quantities. For periodic rotation, angular velocity ω and rotational frequency f are linked by ω = 2πf.
| Representation | Meaning | SI status |
|---|---|---|
| rad/s | Angular velocity or angular frequency | SI coherent unit |
| Hz | Cycles per second | SI frequency unit; not shown as an angular-velocity unit |
| rev/s, rpm | Rotation-rate representations | Conventional non-SI notation |
| °/s | Angular change per second | Degree is accepted for use with SI |
Linear speed requires radius
Tangential speed follows v = rω. Without a radius, the same angular velocity can correspond to many different linear speeds, so m/s and km/h are excluded from this fixed converter.
Angular acceleration is a separate quantity
Angular acceleration measures change in angular velocity per unit time and uses rad/s². It belongs in the separate Angular Acceleration Converter rather than this menu.
Authoritative references: BIPM SI Brochure, 9th edition and NIST metric-system tables.