RPM to Rad/s Converter
Revolutions per Minute to Radians per Second Converter
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How to Convert Revolutions per Minute to Radians per Second
To convert a measurement in revolutions per minute to a measurement in radians per second, multiply the frequency by the following conversion ratio: 0.10472 radians per second/revolution per minute.
Since one revolution per minute is equal to 0.10472 radians per second, you can use this simple formula to convert:
The frequency in radians per second is equal to the frequency in revolutions per minute multiplied by 0.10472.
For example, here's how to convert 5 revolutions per minute to radians per second using the formula above.
radians per second = (5 RPM × 0.10471975511965976591) = 0.52359877559829881566 rad/sHow Many Radians per Second Are in One Revolution per Minute?
There are 0.10471975511965976591 radians per second in one revolution per minute, which is why we use this value in the formula above.
The following formula can also be used to convert the frequency, in revolutions per minute, to an angular frequency in radians per second:
Thus, the angular frequency in radians per second is equal to the frequency in revolutions per minute divided by 60 times 2 times pi.
For example, here's how to convert 5 RPM to rad/s using this formula.
rad/s = RPM/60 × 2π rad/s = 0.083333 × 2π rad/s = 0.523599What Are Revolutions per Minute?
Revolutions per minute are a measure of the number of rotations, turns, or revolutions, that an object makes each minute.
Revolutions per minute can be abbreviated as RPM, and are also sometimes abbreviated as rev/min or r/min. For example, 1 revolution per minute can be written as 1 RPM, 1 rev/min, or 1 r/min.
Revolutions per minute can be expressed using the formula:
What Are Radians per Second?
Radians per second are a measure of angular frequency, or rotational speed, equal to the change in the angular orientation of an object over one second.
Radians per second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.
In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.[1] For example, rad/s is expressing a change in angle relative to a change in time.
Revolutions Per Minute (RPM) to Radians Per Second Conversion
| Revolutions Per Minute (RPM) | Radians Per Second (rad/s) |
|---|---|
| 1 RPM | 0.10472 rad/s |
| 2 RPM | 0.20944 rad/s |
| 3 RPM | 0.31416 rad/s |
| 4 RPM | 0.41888 rad/s |
| 5 RPM | 0.52360 rad/s |
| 6 RPM | 0.62832 rad/s |
| 7 RPM | 0.73304 rad/s |
| 8 RPM | 0.83776 rad/s |
| 9 RPM | 0.94248 rad/s |
| 10 RPM | 1.04720 rad/s |
| 11 RPM | 1.15191 rad/s |
| 12 RPM | 1.25664 rad/s |
| 13 RPM | 1.36136 rad/s |
| 14 RPM | 1.46608 rad/s |
| 15 RPM | 1.57080 rad/s |
| 16 RPM | 1.67552 rad/s |
| 17 RPM | 1.78024 rad/s |
| 18 RPM | 1.88496 rad/s |
| 19 RPM | 1.98968 rad/s |
| 20 RPM | 2.09440 rad/s |
| 21 RPM | 2.19912 rad/s |
| 22 RPM | 2.30384 rad/s |
| 23 RPM | 2.40856 rad/s |
| 24 RPM | 2.51328 rad/s |
| 25 RPM | 2.61799 rad/s |
| 26 RPM | 2.72271 rad/s |
| 27 RPM | 2.82743 rad/s |
| 28 RPM | 2.93215 rad/s |
| 29 RPM | 3.03687 rad/s |
| 30 RPM | 3.14160 rad/s |
| 31 RPM | 3.24632 rad/s |
| 32 RPM | 3.35096 rad/s |
| 33 RPM | 3.45568 rad/s |
| 34 RPM | 3.56040 rad/s |
| 35 RPM | 3.66512 rad/s |
| 36 RPM | 3.76984 rad/s |
| 37 RPM | 3.87456 rad/s |
| 38 RPM | 3.97928 rad/s |
| 39 RPM | 4.08400 rad/s |
| 40 RPM | 4.18880 rad/s |