// conversions › 2 · Mechanics & Fluids
Convert angular velocity between rad/s, RPM and deg/s via radians per second.
result = value × (from→rad/s) ÷ (to→rad/s)
It converts convert angular velocity between rad/s, rpm and deg/s via radians per second by first normalising your value to the SI base unit (radian per second) and then scaling to your chosen target unit. This hub-and-spoke approach guarantees every unit pair is internally consistent.
3000 RPM to rad/s: 3000 × 0.10472 ≈ 314.16 rad/s.
One revolution is 2π radians and a minute is 60 seconds, so 1 RPM = 2π/60 ≈ 0.10472 rad/s. Radians per second is the form physics needs because it plugs straight into v = ω·r to get rim speed.
Rotating machinery, motors, turbines and gearbox design.
Conversions are exact ratios where the units are defined exactly (most SI and imperial units) and best-available constants otherwise. Extremely large or small magnitudes are shown in general (g) format; round-tripping through the base unit may introduce tiny floating-point differences in the final decimal places.