Scientific

Angular Velocity: rad/s, RPM, and Degrees per Second

Convert between rad/s, RPM, and degrees per second. Angular velocity guide for rotating machinery.

Angular velocity measures how fast something rotates. Engineers use rad/s, mechanics use RPM, and navigators use degrees per second.

Angular Velocity Units

RPM (revolutions per minute) is the most common unit for motors and engines. rad/s is the SI unit. deg/s is used in navigation and gaming.

Conversions

  • 1 RPM = 2π/60 rad/s ≈ 0.1047 rad/s
  • 1 RPM = 6 deg/s
  • 1 rad/s = 9.549 RPM

Common Values

Car engine idle: ~800 RPM. Car engine redline: 6,000–8,000 RPM. Hard drive: 5,400 or 7,200 RPM. Earth rotation: 0.00417 deg/s (1 RPM = 0.0000167 rev/s).

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Frequently Asked Questions

How do I convert RPM to rad/s?
Multiply RPM by 2π/60 (≈ 0.1047). For example, 3,000 RPM × 0.1047 = 314.2 rad/s.

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