Angular Velocity
Convert rotation frequency into angular and rim speed.
Your numbers
Angular velocity
Idealized classical model in SI units. Check sign conventions and assumptions; not a certified engineering design calculation.
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Formula
Use ω = 2πn/60 and v = ωr. n is rotations per minute and r is radius in m. Angular speed ω is in rad/s and tangential speed v is in m/s.
Convert rotation frequency into angular and rim speed.
Worked example
- Rotations per minute
- 60
- Radius (m)
- 0.5
- Angular velocity
- 6.28318530718 rad/s
- Rim velocity
- 3.14159265359 m/s
Scope and limitations
Idealized classical model in SI units. Check sign conventions and assumptions; not a certified engineering design calculation.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: d3661b4644a0 · Example checked: