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RPM To Radians Per Second Calculator

Work out rpm to radians per second instantly with clear inputs, formula shown and shareable results.

About RPM To Radians Per Second Calculator

Converting Revolutions per minute to Radians per second is one multiplication: a single rpm is 0.10471976 rad/s, so the amount is scaled by that factor. Reversing the direction divides by the same factor. The factor is the standard accepted value for this pair. The factor is 2 pi / 60, since one revolution is 2 pi radians and a minute is 60 seconds.

Formulas

Revolutions per minute → Radians per second

rad/s = rpm × 0.10471976

Radians per second → Revolutions per minute

rpm = rad/s ÷ 0.10471976

Worked example

With the default values below, RPM To Radians Per Second Calculator returns Converted Value of 157.07963268. Change any input above and every figure here is recalculated in your browser.

Inputs used

Amount to convert
1,500
Directionone of Revolutions per minute → Radians per second, Radians per second → Revolutions per minute
Revolutions per minute → Radians per second

Results

Converted Value
157.07963268
Result Unit
rad/s
Multiplier Applied
0.10471976
Conversion Used
1 rpm = 0.10471976 rad/s

Step by step

  1. 1Values used
  2. 2Revolutions per minute → Radians per second
  3. 3Radians per second → Revolutions per minute
  4. 4Converted Value= 157.07963268
  5. 5Result Unit= rad/s
  6. 6Multiplier Applied= 0.10471976
  7. 7Conversion Used= 1 rpm = 0.10471976 rad/s

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How many rad/s are in one rpm?

One rpm equals 0.10471976 rad/s.

How do I go from Radians per second back to Revolutions per minute?

Divide by 0.10471976 rather than multiplying, or flip the direction selector which does it for you.

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