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Velocity - Angular Converter

Enter a value below to convert between metric, imperial, and standard velocity - angular units.

Convert Velocity - Angular

Enter a value and select the units to convert between radians per second, degrees per second, and revolutions per minute.

Instant conversion
Result
572.9578 °/s
10 rad/s = 572.9578 °/s
10 rad/s = 572.9578 °/s = 95.49297 r/minGet Widget

You can change the units using the dropdowns above or click on a unit button.

Suggested Conversions

Common Velocity - Angular Reference Points

Here are some common velocity - angular values in Radian per Second (rad/s), Degree per Second (°/s), and Revolution per Minute (r/min). Click any preset value or arrow to load it into the converter.

DescriptionRadian per Second (rad/s)Degree per Second (°/s)Revolution per Minute (r/min)
1 radian per second unit157.295789.5493
5 radians per second5286.478947.74648
10 radians per second benchmark10572.957895.49297
25 radians per second251,432.39449238.73241
50 radians per second502,864.78898477.46483
100 radians per second reference1005,729.57795954.92966

Velocity - Angular Conversion Formulas

Use the following formulas to convert between radians per second, degrees per second, and revolutions per minute.

Radians per Second to Degrees per Second
°/s = rad/s × 57.29578
Degrees per Second to Radians per Second
rad/s = °/s × 0.01745
Radians per Second to Revolutions per Minute
r/min = rad/s × 9.5493
Example: Convert 10 Radians per Second (rad/s) to Degrees per Second (°/s)
1 rad/s = 57.29578 °/s
10 rad/s × 57.29578 = 572.9578 °/s

All velocity - angular conversions are anchored to the international SI base unit (Radian per Second) for full scientific and engineering accuracy.

More Radian per Second & Degree per Second Conversions

Frequently Asked Questions

1 radian per second (rad/s) equals 57.29578 degrees per second (°/s). Multiply your radian per second value by 57.29578 or enter it in the Velocity - Angular Converter above for instant calculation.

All Velocity - Angular Conversion Calculators (6)

Select any dedicated velocity - angular pair below for worked examples and printable tables

Category Conversion Matrix

Simultaneous comparison of 5 units in this category

Radian per Second (rad/s)
1
Degree per Second (°/s)
57.29578
Revolution per Minute (r/min)
9.5493
Revolution per Second (r/s)
0.15915
Revolution per Hour (r/h)
572.9578

Velocity - Angular Unit Definitions & Symbols

Radian per Second (rad/s)

SI

SI unit of angular velocity.

Degree per Second (°/s)

OTHER

Angular rotation of 1 degree per second (π/180 rad/s).

Revolution per Minute (r/min)

OTHER

One full rotation per minute (2π/60 ≈ 0.10472 rad/s).

Revolution per Second (r/s)

OTHER

One full rotation per second (2π ≈ 6.28319 rad/s).

Revolution per Hour (r/h)

OTHER

One full rotation per hour.

References

NIST · BIPM · ISO
  1. [1]
    NIST (NIST HB 133 / SP 811)·Checking the Net Contents of Packaged Goods, Handbook 133 - 2019 Edition & NIST SP 811
    NIST HB 133 Standard
  2. [2]
    BIPM (BIPM SI-9)·The International System of Units (SI Brochure, 9th Edition)
    BIPM SI Brochure
  3. [3]
    NIST SP 811 (NIST SP 811 App. B.9)·NIST Guide to the SI, Appendix B.9: Factors for Units Listed by Kind of Quantity or Field of Science
    NIST SP 811 Appendix B.9
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