Convert from rotations per minute to radians per second
Alternative name: Convert rpm to rad/s
You can use this converter to convert the frequency in rotations per minute (rpm) to the equivalent frequency in radians per second (rad/s).
The formula used in this frequency converter is listed below. There is also a rotations per minute (rpm) to radians per second (rad/s) conversion table for your convenience.
500 rotations per minute is the same as:
52.36 radians per secondIf you want to convert this frequency the other way around, try this converter: radians per second to rotations per minute converter
Rotations Per Minute can also be converted to other units:
The conversion formula for rotations per minute to radians per second
We know that 1 radian per second is the same as 9.549 rotation per minute. This allows us to set up the following formula:
frequency(rad/s) = frequency(rpm) ÷ 9.549
9.549 is the conversion constant you need to remember to do this conversion.
Example usage of the rotations per minute to radians per second formula
If you know the rotations per minute (rpm) to radians per second (rad/s) formula, then you can calculate the frequency like this.
The example converts 500 rpm to the same frequency in radians per second.
52.36 rad/s = 500 rpm ÷ 9.549
Conversion table for rotations per minute to radians per second
This conversion table is based on the formula used above.
You can generate a conversion table for any number range by entering a start and end number range below.
| Rotation Per Minute | Radian Per Second |
|---|---|
| 1 rpm | 0.1047 rad_s |
| 2 rpm | 0.2094 rad_s |
| 3 rpm | 0.3142 rad_s |
| 4 rpm | 0.4189 rad_s |
| 5 rpm | 0.5236 rad_s |
| 6 rpm | 0.6283 rad_s |
| 7 rpm | 0.733 rad_s |
| 8 rpm | 0.8378 rad_s |
| 9 rpm | 0.9425 rad_s |
| 10 rpm | 1.047 rad_s |
| 11 rpm | 1.152 rad_s |
| 12 rpm | 1.257 rad_s |
| 13 rpm | 1.361 rad_s |
| 14 rpm | 1.466 rad_s |
| 15 rpm | 1.571 rad_s |
| 16 rpm | 1.676 rad_s |
| 17 rpm | 1.78 rad_s |
| 18 rpm | 1.885 rad_s |
| 19 rpm | 1.99 rad_s |
| 20 rpm | 2.094 rad_s |
| 21 rpm | 2.199 rad_s |
| 22 rpm | 2.304 rad_s |
| 23 rpm | 2.409 rad_s |
| 24 rpm | 2.513 rad_s |
| 25 rpm | 2.618 rad_s |
| 26 rpm | 2.723 rad_s |
| 27 rpm | 2.827 rad_s |
| 28 rpm | 2.932 rad_s |
| 29 rpm | 3.037 rad_s |
| 30 rpm | 3.142 rad_s |
| 31 rpm | 3.246 rad_s |
| 32 rpm | 3.351 rad_s |
| 33 rpm | 3.456 rad_s |
| 34 rpm | 3.56 rad_s |
| 35 rpm | 3.665 rad_s |
| 36 rpm | 3.77 rad_s |
| 37 rpm | 3.875 rad_s |
| 38 rpm | 3.979 rad_s |
| 39 rpm | 4.084 rad_s |
| 40 rpm | 4.189 rad_s |
| 41 rpm | 4.294 rad_s |
| 42 rpm | 4.398 rad_s |
| 43 rpm | 4.503 rad_s |
| 44 rpm | 4.608 rad_s |
| 45 rpm | 4.712 rad_s |
| 46 rpm | 4.817 rad_s |
| 47 rpm | 4.922 rad_s |
| 48 rpm | 5.027 rad_s |
| 49 rpm | 5.131 rad_s |
| 50 rpm | 5.236 rad_s |
If you want, you can also see all other related units of measure in this category by clicking here. The table is updated, but the start and end range of the conversion remains the same.
If you need more advanced control over the table, see here: advanced conversion table