Enter a value in revolutions per minute to calculate the corresponding amount in radians per second. The result updates from the published unit relationship and includes a reverse check so a misplaced factor is easier to spot.
People compare revolutions per minute with radians per second in motors, rotating machinery, control systems, and dynamics.
The rpm to radians per second result preserves the same angular speed quantity while changing its label from rpm to rad/s.
The broad angular speed converter can take rpm to radians per second into a wider unit list.
The numerical bridge from rpm to rad/s is 0.10471975512. Multiply revolutions per minute by 0.10471975512 to obtain radians per second.
To audit rpm to radians per second in the other direction, Divide radians per second by 0.10471975512 to return to revolutions per minute.
Enter 1,800 rpm. The result is 188.495559216 rad/s, following 1,800 × 0.10471975512 = 188.495559216.
The three reference cases below keep the rpm to radians per second factor unchanged while the source magnitude varies.
Keep additional rad/s digits when radians per second will enter another calculation; round after that work is complete.
The precision of revolutions per minute still limits the defensible precision of radians per second. Extra decimals cannot improve the original rpm measurement.
One rpm corresponds to 0.1047197551 rad/s; compare the result with that benchmark.
Reversing 188.495559216 rad/s should return about 1,800 rpm.
Use rpm only for revolutions per minute and rad/s only for radians per second. The rpm to radians per second scale is 0.10471975512.
Angular speed combines rotation with time and must preserve both the angular and time bases. The rpm to radians per second definition is limited to revolutions per minute and radians per second; a similarly named measure requires its own stated rule. A bare number cannot show which side of rpm to radians per second it belongs to. Keep rpm or rad/s attached whenever the value is copied.
Keep the unrounded rad/s value when radians per second enters a total or formula. Store the source rpm amount beside it, and rerun rpm to radians per second if revolutions per minute changes.
One rpm maps to 0.1047197551 rad/s. Reversing the rpm to radians per second scale associates one rad/s with 9.5492965855 rpm.
Place rad/s above rpm in a dimensional-analysis fraction so the source symbol cancels. An inverted fraction would answer the opposite conversion.
In motors, rotating machinery, control systems, and dynamics, copying the source as a bare number can hide whether it began in rpm. Keep the revolutions per minute label visible until rpm to radians per second is complete.
When several radians per second values are combined, convert every source to rad/s first. Mixing rpm and rad/s in one total would make the arithmetic meaningless even if each individual number looked reasonable.
Multiply revolutions per minute by 0.10471975512 to obtain radians per second. Divide radians per second by 0.10471975512 to return to revolutions per minute.
Reverse the displayed radians per second amount with the inverse rpm to radians per second rule. It should reproduce the entered revolutions per minute within the shown precision.
Yes. Zero rpm maps to zero rad/s because rpm to radians per second has no zero-point offset.