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Revolutions per Second to Degrees per Second Converter

Enter the angular velocity in revolutions per second below to convert it to degrees per second.

Convert Revolutions per Second to Degrees per Second

Enter a value in revolutions per second (r/s) to convert to degrees per second (°/s).

Result
•
1,800degrees per second
5 r/s = 1,800 °/s
Result updates automatically
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Suggested Conversions
Reference:NIST OWM (SI Units — Length)
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Revolution per Second to Degree per Second Conversion Table

Table showing various revolution per second measurements converted to degrees per second. Click any preset value or arrow to load it into the converter.

Revolutions per Second (r/s)Degrees per Second (°/s)
1 r/s360 °/s
2 r/s720 °/s
2.5 r/s900 °/s
5 r/s1,800 °/s
10 r/s3,600 °/s
15 r/s5,400 °/s
20 r/s7,200 °/s
25 r/s9,000 °/s
30 r/s10,800 °/s
50 r/s18,000 °/s

How to Convert Revolutions per Second to Degrees per Second

To convert revolutions per second to degrees per second, multiply the angular velocity by the following conversion ratio: 360 degrees per second/revolution per second.

Since one revolution per second is equal to 360 degrees per second, you can use this simple formula to convert:

degrees per second = revolutions per second × 360

The angular velocity in degrees per second is equal to the angular velocity in revolutions per second multiplied by 360.

For example, here's how to convert 5 revolutions per second to degrees per second using the formula above.

degrees per second = (5 r/s × 360) = 1,800 °/s

How Many Degrees per Second Are in a Revolution per Second?

There are 360 degrees per second in a revolution per second, which is why we use this value in the formula above.

1 r/s = 360 °/s|1 °/s = 0.0027778 r/s

Our revolution per second to degree per second calculator automatically converts your angular velocity measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.

Revolutions per Second and degrees per second are both units used to measure angular velocity. Keep reading to learn more about each unit.

What Is a Revolution per Second?

A revolution per second is a unit of angular velocity equal to 6.2831853 radians per second (rad/s), the base unit for angular velocity. One full rotation per second (2π ≈ 6.28319 rad/s). [1]

The revolution per second is classified as a standard unit of angular velocity. Revolutions per Second can be abbreviated as r/s; for example, 1 revolution per second can be written as 1 r/s.

When working with revolutions per second (r/s) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.

In practice, revolutions per second (r/s) are widely used across standard angular velocity applications within international standard workflows, engineering documentation, and technical data sheets.

What Is a Degree per Second?

A degree per second is a unit of angular velocity equal to 0.0174533 radians per second (rad/s), the base unit for angular velocity. Angular rotation of 1 degree per second (π/180 rad/s). [2]

The degree per second is classified as a standard unit of angular velocity. Degrees per Second can be abbreviated as °/s; for example, 1 degree per second can be written as 1 °/s.

When working with degrees per second (°/s) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.

In practice, degrees per second (°/s) are widely used across standard angular velocity applications within international standard workflows, engineering documentation, and technical data sheets.

When converting angular velocity between revolutions per second (r/s) and degrees per second (°/s), keep full floating-point precision (1 r/s = 360 °/s; 1 °/s = 0.0027778 r/s) during intermediate calculations and round only the final degree per second figure to match your instrument tolerance.

More Revolution per Second & Degree per Second Conversions

Need to calculate in the opposite direction? Use our degrees per second to revolutions per second calculator to switch your starting unit immediately. You can also explore related tools such as converting degrees per second to revolutions per second, converting radians per second to degrees per second, or converting revolutions per second to radians per second.

Frequently Asked Questions

There are 360 degrees per second (°/s) in 1 revolution per second (r/s). Conversely, 1 degree per second (°/s) is equal to 0.00277777 revolutions per second (r/s).

References

NIST · BIPM · ISO
  1. [1]
    NIST OWM (SI Units — Length)·Velocity - Angular Metrology Standard — Revolutions per Second (r/s) to Degrees per Second (°/s)
    NIST OWM Standard
  2. [2]
    BIPM (SI Base Unit: Metre (m))·Unit Specifications: Revolution per Second (r/s) & Degree per Second (°/s)
    BIPM Specification
  3. [3]
    NIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (r/s to °/s)
    NIST HB 133 Reference
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