8 units · base unit rad/s · T⁻¹

Angular velocity converter

Distinct from frequency: one revolution per second is 1 Hz but 2π rad/s. Mixing the two is a classic source of factor-of-6.28 errors in motor control.

57.295 779 513 1°/s
≈ Rounded to 12 s.f. 1 rad/s ≈ 57.295 779 513 1 °/s
As a fraction: 30000000000000000000000000000000000000000000000000000000000000000000000000000/523598775598298873077107230546583814032861566562517636829157432051302734381
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1 rad/s = 57.2957795131 °/s
Show this value in all 8 angular velocity units
  • Radian per seconds rad/s 1
  • Radian per minutes rad/min 60
  • Degree per seconds °/s 57.295 779 513 1
  • Degree per minutes °/min 3437.746 770 78
  • Revolution per minutes rpm 9.549 296 585 51
  • Revolution per seconds rev/s 0.159 154 943 092
  • Revolution per hours rev/h 572.957 795 131
  • Hertz (as angular rate)s Hz 0.159 154 943 092

Every row is Radian per second (rad/s) converted through the radian per second, in exact rational arithmetic.

Common angular velocity conversions

All angular velocity units

Each unit expressed in radian per seconds (rad/s), the unit everything in this category converts through.

Unit Symbol System Value in rad/s
Radian per second rad/s SI 1
Radian per minute rad/min SI 0.0166666666667
Degree per second °/s other 0.0174532925199
Degree per minute °/min other 0.000290888208666
Revolution per minute rpm other 0.10471975512
Revolution per second rev/s other 6.28318530718
Revolution per hour rev/h other 0.00174532925199
Hertz (as angular rate) Hz SI 6.28318530718

About angular velocity units

Convert rad/s, rpm, degrees per second and revolutions per second.

Distinct from frequency: one revolution per second is 1 Hz but 2π rad/s. Mixing the two is a classic source of factor-of-6.28 errors in motor control.

Dimensional formula: T⁻¹. Every conversion on this page goes through the radian per second, using exact fractions rather than decimal approximations. Read how that works →

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