Angular Velocity Converter

Convert between radians per second, degrees per second, RPM and more

Using cached rates
100 rad/s
Conversion Result
100 rad/s
Radians per second
→
5729.58 °/s
Degrees per second

Popular Angular Velocity Conversions

Conversion Factor Source
rad/s to RPM 1 rad/s = 9.5493 RPM LLC.
RPM to rad/s 1 RPM = 0.10472 rad/s LLC.
rad/s to °/s 1 rad/s = 57.2958 °/s LLC.
°/s to rad/s 1 °/s = 0.0174533 rad/s LLC.
RPM to rps 1 RPM = 0.0166667 rps LLC.
rps to Hz 1 rps = 1 Hz LLC.
rad/s to Hz 1 rad/s = 0.159155 Hz LLC.
RPM to °/min 1 RPM = 360 °/min LLC.

Angular Velocity Unit Reference

Angular velocity is the rate of change of angular displacement and is measured in various units depending on the context.

Scientific Note: The radian per second (rad/s) is the SI unit of angular velocity. It is defined as the change in orientation of an object, in radians, per second.

Angular Velocity Units

Common Units
  • Radians per second (rad/s): SI unit of angular velocity
  • Degrees per second (°/s): Common in engineering and navigation
  • Revolutions per minute (RPM): Widely used in mechanics and engineering
  • Revolutions per second (rps): Used in high-speed applications

Used in physics, engineering, and everyday measurements

Scientific Units
  • Hertz (Hz): Cycles per second (1 Hz = 1 rps)
  • Radians per minute (rad/min): Used for slow rotations
  • Degrees per minute (°/min): Used in astronomy and navigation

Used in scientific research and specialized applications

Specialized Units
  • Revolutions per hour (rph): Used for very slow rotations
  • Revolutions per day (rpd): Used in astronomy
  • Milliradians per second (mrad/s): Used for precise measurements

Used in specialized fields like astronomy and precision engineering

Angular Velocity Conversion Formulas

From To Formula
rad/s RPM RPM = rad/s × (60 / 2π) ≈ rad/s × 9.5493
RPM rad/s rad/s = RPM × (2π / 60) ≈ RPM × 0.10472
rad/s deg/s deg/s = rad/s × (180 / π) ≈ rad/s × 57.2958
deg/s rad/s rad/s = deg/s × (π / 180) ≈ deg/s × 0.0174533
RPM deg/s deg/s = RPM × 6
rps Hz Hz = rps
rad/s Hz Hz = rad/s / (2π) ≈ rad/s × 0.159155
RPM rph rph = RPM × 60
rph rpd rpd = rph × 24
rad/s mrad/s mrad/s = rad/s × 1000

Common Angular Velocity References

Vinyl Record
33.3 RPM
Hard Drive
7,200 RPM
Car Engine (Idle)
800 RPM
Ceiling Fan
150 RPM
Wind Turbine
15 RPM
Earth Rotation
0.000694 RPM

Accuracy Note: For precision applications, use rad/s as the base unit for calculations to avoid rounding errors.

Angular Velocity Applications

Angular velocity measurements are essential in various fields:

Mechanical Engineering

Calculating rotational speeds of gears, shafts, and engines

Common Units:

RPM, rad/s

Aerospace

Controlling rotation of satellites and spacecraft components

Common Units:

deg/s, rad/s

Automotive

Monitoring engine RPM and wheel rotation speeds

Common Units:

RPM

Renewable Energy

Measuring rotation of wind turbines and hydroelectric generators

Common Units:

RPM, rad/s

Audio Technology

Controlling rotation of vinyl records and CD players

Common Units:

RPM

Robotics

Controlling joint movements and rotational actuators

Common Units:

rad/s, deg/s

Fascinating Angular Velocity Facts

High-Speed Rotation
  • Formula 1 engine: up to 15,000 RPM
  • Dental drill: up to 400,000 RPM
  • Ultracentrifuge: up to 150,000 RPM
Slow Rotation
  • Hour hand of a clock: 0.000694 RPM
  • Minute hand of a clock: 0.0167 RPM
  • Second hand of a clock: 1 RPM
Natural Phenomena
  • Earth rotation: 0.000694 RPM
  • Earth revolution: 0.00000114 RPM
  • DNA helix rotation: ~10,000 RPM
Extreme Rotation
  • Pulsar rotation: up to 716 RPM
  • Laboratory centrifuge: up to 150,000 RPM
  • Gas turbine engine: up to 100,000 RPM

History of Angular Measurement

  • Babylonians: Developed base-60 system for angles
  • 1700s: Radian defined as angle subtended by arc equal to radius
  • Industrial Revolution: RPM became standard for machinery
  • Space Age: Precision angular velocity control became critical