radians per second to rotations per minute Converter

1 radian per second is equal to 9.5493 rotations per minute, or 0.000000000000159155 THz.

Enter a value in the converter to get the result. This page explains the formula, works through examples and lists common values in a conversion table.

How to convert radians per second to rotations per minute

Multiply the value in radians per second by 9.549297 to get rotations per minute.

rpm = × 9.549297
  1. 1Start with the value in radians per second: 1 rad/s.
  2. 2Apply the formula: × 9.549297 = 9.54929658551.
  3. 3Round to the precision you need: 9.5493 rpm.

For a quick estimate without a calculator, multiply by 9.5. For 1 rad/s that gives about 9.5 rpm.

Examples

10 rad/s to rpm × 9.549297
= 95.493 rpm50 rad/s to rpm × 9.549297
= 477.465 rpm250 rad/s to rpm × 9.549297
= 2,387.32 rpm

radians per second to rotations per minute conversion table

radians per second (rad/s)rotations per minute (rpm)terahertz (THz)
1 rad/s9.5493 rpm0.000000000000159155 THz
5 rad/s47.7465 rpm0.000000000000795775 THz
10 rad/s95.493 rpm0.00000000000159155 THz
20 rad/s190.986 rpm0.0000000000031831 THz
25 rad/s238.732 rpm0.00000000000397887 THz
50 rad/s477.465 rpm0.00000000000795775 THz
75 rad/s716.197 rpm0.0000000000119366 THz
100 rad/s954.93 rpm0.0000000000159155 THz
150 rad/s1,432.39 rpm0.0000000000238732 THz
200 rad/s1,909.86 rpm0.000000000031831 THz
500 rad/s4,774.65 rpm0.0000000000795775 THz
1,000 rad/s9,549.3 rpm0.000000000159155 THz

1 radian per second in other units

The same value in every other unit of this category. Each row links to the full conversion.

UnitFormula1 rad/s equals
radians per second to millihertzmHz = × 159.1549159.155 mHz
radians per second to hertzHz = ÷ 6.2831850.159155 Hz
radians per second to kilohertzkHz = ÷ 6,283.1850.000159155 kHz
radians per second to megahertzMHz = ÷ 6,283,1850.000000159155 MHz
radians per second to gigahertzGHz = ÷ 6,283,185,3070.000000000159155 GHz
radians per second to terahertzTHz = ÷ 6,283,185,307,1800.000000000000159155 THz
radians per second to rotations per minuterpm = × 9.5492979.5493 rpm
radians per second to degrees per seconddeg/s = × 57.2957857.2958 deg/s

rotations per minute to radians per second

The reverse conversion uses the inverse formula. For example, 1 rpm is 0.10472 rad/s. Use the rotations per minute to radians per second converter for other values.

rad/s = ÷ 9.549297
1 rpm to rad/s5 rpm to rad/s10 rpm to rad/s25 rpm to rad/s50 rpm to rad/s100 rpm to rad/s500 rpm to rad/s1,000 rpm to rad/s

About the units

radian per second (rad/s)

A unit of frequency. 1 rad/s = 9.5493 rpm.

rotation per minute (rpm)

A unit of frequency. 1 rpm = 0.10472 rad/s.

Accuracy and rounding

The calculation uses exact decimal arithmetic, so the conversion itself adds no error. Results are rounded to six significant figures; the formula steps show more digits.

More radians per second to rotations per minute conversions

2 rad/s to rpm5 rad/s to rpm10 rad/s to rpm20 rad/s to rpm25 rad/s to rpm50 rad/s to rpm75 rad/s to rpm100 rad/s to rpm150 rad/s to rpm200 rad/s to rpm250 rad/s to rpm500 rad/s to rpm1,000 rad/s to rpm

FAQ

How many rotations per minute are in one radian per second?

One radian per second is equal to 9.5493 rotations per minute.

How do I convert rotations per minute back to radians per second?

Use the formula rad/s = ÷ 9.549297. See the rotations per minute to radians per second converter.