Conversion tool

Convert revolutions per minute to radians per second instantly

Enter a value, see the result, copy it, and save a PDF snapshot.

Input

Type a value, then press Enter to calculate.

Result

0.000 rad/s

Digits 3

Rounded for readability. Use the arrows to increase or decrease the number of shown digits.

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Notes

Use this space for project notes before saving as PDF.

Disclaimer: Use calculations at your own risk. For critical applications, verify results against your governing standards/specifications.

How it works

We use rad/s = rpm x 0.10471975512.

Exact relationship: 1 rpm = 0.10471975512 rad/s.

Example: 60 rpm = 6.283 rad/s.

Notes: Results are rounded in the default view.

Examples

FAQ

What physical quantity do revolutions per minute and radians per second express?

Rpm express rotational frequency in a machine-friendly form and are common when one full turn is the meaningful repeating event. Radians per second express angular frequency and are common where rotational motion needs to align with physics-based equations.

What is the difference between revolutions per minute and radians per second?

Revolutions per minute and radians per second both express repeating rate, but they are favored in different rotating, electrical, analytical, and signal-processing contexts.

What is the history of the revolution per minute?

Rpm became standard with rotating machinery, engines, and shop-floor instrumentation where turns per minute are intuitive.

What is the history of the radian per second?

Radians per second emerged from mathematical physics and are standard wherever angular motion is modeled analytically.

Were the revolution per minute and radian per second discovered by a specific person?

Rpm are a practical engineering convention rather than a discovery by one person. Radians per second are a derived angular-frequency unit rather than something discovered by one person.

Where are revolutions per minute and radians per second used in science and engineering?

Rpm are used in motors, spindles, fans, engines, pumps, and machine setup work. Radians per second are used in dynamics, controls, vibration, servo systems, and analytical engineering calculations.

Why do frequency units matter in calculations?

Frequency units affect vibration analysis, rotating-equipment checks, signal timing, control-system tuning, and machine setup. Keeping the unit attached helps prevent confusion between cycles, angular rate, and elapsed time.

Can I trust this for critical frequency calculations?

Use this for convenience and verify against your governing standard, equipment manual, or controlled engineering source for critical work. Real systems may also depend on waveform, harmonics, and operating conditions.

References