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Revolutions per Hour to Radians per Second Converter

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

Convert Revolutions per Hour to Radians per Second

Enter a value in revolutions per hour (r/h) to convert to radians per second (rad/s).

Result
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0.008726646radians per second
5 r/h = 0.008726646 rad/s
Result updates automatically
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Suggested Conversions
Reference:NIST OWM (SI Units — Length)
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Revolution per Hour to Radian per Second Conversion Table

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

How to Convert Revolutions per Hour to Radians per Second

To convert revolutions per hour to radians per second, multiply the angular velocity by the following conversion ratio: 0.0017453 radians per second/revolution per hour.

Since one revolution per hour is equal to 0.0017453 radians per second, you can use this simple formula to convert:

radians per second = revolutions per hour × 0.0017453

The angular velocity in radians per second is equal to the angular velocity in revolutions per hour multiplied by 0.0017453.

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

radians per second = (5 r/h × 0.0017453) = 0.0087266 rad/s

How Many Radians per Second Are in a Revolution per Hour?

There are 0.0017453 radians per second in a revolution per hour, which is why we use this value in the formula above.

1 r/h = 0.0017453 rad/s|1 rad/s = 572.9577951 r/h

Our revolution per hour to radian 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 Hour and radians per second are both units used to measure angular velocity. Keep reading to learn more about each unit.

What Is a Revolution per Hour?

A revolution per hour is a unit of angular velocity equal to 0.0017453 radians per second (rad/s), the base unit for angular velocity. One full rotation per hour. [1]

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

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

In practice, revolutions per hour (r/h) are widely used across fine-tolerance laboratory, analytical, and micro-scale angular velocity measurements within international standard workflows, engineering documentation, and technical data sheets.

What Is a Radian per Second?

SI unit of angular velocity. It serves as a primary reference unit for measuring angular velocity across scientific and practical applications. [2]

The radian per second is classified as an International System of Units (SI) unit of angular velocity. Radians per Second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.

As the primary coherent reference unit for angular velocity in this category, all other angular velocity units are mathematically anchored to the radian per second (rad/s).

In practice, radians per second (rad/s) are widely used across standard angular velocity applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.

When converting angular velocity between revolutions per hour (r/h) and radians per second (rad/s), keep full floating-point precision (1 r/h = 0.0017453 rad/s; 1 rad/s = 572.9577951 r/h) during intermediate calculations and round only the final radian per second figure to match your instrument tolerance.

More Revolution per Hour & Radian per Second Conversions

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

Frequently Asked Questions

There are 0.00174532 radians per second (rad/s) in 1 revolution per hour (r/h). Conversely, 1 radian per second (rad/s) is equal to 572.9578 revolutions per hour (r/h).

References

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