Angular Velocity Converter
Convert between RPM, rad/s, deg/s, and other angular velocity units
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Conversion Formula:
Multiply by 0.10472
Common Conversions
Common Angular Velocity Conversions
| From | To | Conversion |
|---|---|---|
| RPM | rad/s | rad/s = RPM × π ÷ 30 |
| rad/s | RPM | RPM = rad/s × 30 ÷ π |
| rad/s | deg/s | deg/s = rad/s × 180 ÷ π |
| deg/s | rad/s | rad/s = deg/s × π ÷ 180 |
| RPM | Hz | Hz = RPM ÷ 60 |
| Hz | RPM | RPM = Hz × 60 |
Understanding Angular Velocity
Angular velocity is the rate of change of angular position of a rotating body, measured in angle per unit time. It describes how quickly an object rotates or revolves relative to another point.
Key Concepts
- Angular velocity is a vector quantity with direction along the axis of rotation
- The SI unit is radians per second (rad/s)
- One complete revolution equals 2π radians or 360 degrees
- Angular velocity relates to linear velocity by: v = r x omega
- Where r is the radius and v is the linear velocity
Applications
- Mechanical engineering: Motors, turbines, gears
- Astronomy: Planetary rotation and orbital periods
- Physics: Rotational dynamics
- Automotive: Engine RPM, wheel rotation
- Sports: Analysis of spinning balls, rotational movements
Common Angular Velocities
- 1 RPM (0.105 rad/s): Second hand of a clock
- 33-45 RPM (3.46-4.71 rad/s): Vinyl record
- 600-1000 RPM (62.8-104.7 rad/s): Typical car engine idle
- 3600 RPM (377 rad/s): Standard electric motor
- 7200 RPM (754 rad/s): Hard disk drive
- 30,000 RPM (3140 rad/s): Dental drill
- 100,000+ RPM (10,472+ rad/s): Turbocharger, ultracentrifuge
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Visual Comparison
Angular Velocity Visualization
Current Speed:
Fast60.00 RPM clockwise
SlowFast
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Record/CD
Time for 1 rotation:
1.0 s
Mobile tip: Swipe left or right on the unit dropdown to quickly change units, or use the arrow buttons
About the Angular Velocity Converter
Convert between RPM, rad/s, deg/s, and other angular velocity units All conversions run instantly in your browser and nothing you enter is sent to a server.
Common Conversion Formulas
| From | To | Formula |
|---|---|---|
| Revolutions per minute (RPM) | Radians per second (rad/s) | rad/s = RPM × (2π/60) |
| Radians per second (rad/s) | Degrees per second (°/s) | °/s = rad/s × (180/π) |
| Angular velocity (ω) | Linear velocity (v) at radius r | v = ω × r |