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Radians per Second Squared to RPM per Second Converter

Enter the angular acceleration in radians per second squared below to convert it to rpm per second.

Convert Radians per Second Squared to RPM per Second

Enter a value in radians per second squared (rad/s²) to convert to rpm per second (RPM/s).

Result
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95.492965855rpm per second
10 rad/s² = 95.492965855 RPM/s
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Reference:NIST OWM (SI Units — Length)
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Radian per Second Squared to Revolution per Minute per Second Conversion Table

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

Radians per Second Squared (rad/s²)RPM per Second (RPM/s)
1 rad/s²9.5492966 RPM/s
2 rad/s²19.0985932 RPM/s
5 rad/s²47.7464829 RPM/s
10 rad/s²95.4929659 RPM/s
15 rad/s²143.2394488 RPM/s
20 rad/s²190.9859317 RPM/s
25 rad/s²238.7324146 RPM/s
30 rad/s²286.4788976 RPM/s
50 rad/s²477.4648293 RPM/s
75 rad/s²716.1972439 RPM/s

How to Convert Radians per Second Squared to RPM per Second

To convert radians per second squared to rpm per second, multiply the angular acceleration by the following conversion ratio: 9.5492966 rpm per second/radian per second squared.

Since one radian per second squared is equal to 9.5492966 rpm per second, you can use this simple formula to convert:

rpm per second = radians per second squared × 9.5492966

The angular acceleration in rpm per second is equal to the angular acceleration in radians per second squared multiplied by 9.5492966.

For example, here's how to convert 10 radians per second squared to rpm per second using the formula above.

rpm per second = (10 rad/s² × 9.5492966) = 95.4929659 RPM/s

How Many RPM per Second Are in a Radian per Second Squared?

There are 9.5492966 rpm per second in a radian per second squared, which is why we use this value in the formula above.

1 rad/s² = 9.5492966 RPM/s|1 RPM/s = 0.1047198 rad/s²

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

Radians per Second Squared and rpm per second are both units used to measure angular acceleration. Keep reading to learn more about each unit.

What Is a Radian per Second Squared?

SI unit of angular acceleration. It serves as a primary reference unit for measuring angular acceleration across scientific and practical applications. [1]

The radian per second squared is classified as an International System of Units (SI) unit of angular acceleration. Radians per Second Squared can be abbreviated as rad/s²; for example, 1 radian per second squared can be written as 1 rad/s².

As the primary coherent reference unit for angular acceleration in this category, all other angular acceleration units are mathematically anchored to the radian per second squared (rad/s²).

In practice, radians per second squared (rad/s²) are widely used across standard angular acceleration applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.

What Is a Revolution per Minute per Second?

A revolution per minute per second is a unit of angular acceleration equal to 0.1047198 radians per second squared (rad/s²), the base unit for angular acceleration. Change of 1 RPM every second (≈ 0.10472 rad/s²). [2]

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

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

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

When converting angular acceleration between radians per second squared (rad/s²) and rpm per second (RPM/s), keep full floating-point precision (1 rad/s² = 9.5492966 RPM/s; 1 RPM/s = 0.1047198 rad/s²) during intermediate calculations and round only the final revolution per minute per second figure to match your instrument tolerance.

More Radian per Second Squared & Revolution per Minute per Second Conversions

Need to calculate in the opposite direction? Use our rpm per second to radians per second squared converter (RPM/s to rad/s²) to switch your starting unit immediately. You can also explore related tools such as converting radians per second squared to degrees per second squared, converting radians per second squared to revolutions per second squared, or converting degrees per second squared to radians per second squared.

Frequently Asked Questions

There are 9.5493 rpm per second (RPM/s) in 1 radian per second squared (rad/s²). Conversely, 1 revolution per minute per second (RPM/s) is equal to 0.10472 radians per second squared (rad/s²).

References

NIST · BIPM · ISO
  1. [1]
    NIST OWM (SI Units — Length)·Acceleration - Angular Metrology Standard — Radians per Second Squared (rad/s²) to RPM per Second (RPM/s)
    NIST OWM Standard
  2. [2]
    BIPM (SI Base Unit: Metre (m))·Unit Specifications: Radian per Second Squared (rad/s²) & Revolution per Minute per Second (RPM/s)
    BIPM Specification
  3. [3]
    NIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (rad/s² to RPM/s)
    NIST HB 133 Reference
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