This converter turns beats per minute into radians per second instantly, using the exact factor 1 beat per minute = 0.1047197551 radians per second. Type any number and the result updates as you go — nothing is sent to a server, so the arithmetic happens entirely in your browser.
Musical tempo and heart rate share this unit. Angular frequency, the physics-native rotation unit.
Because the relationship is a simple proportion, one multiplication does the whole job. The table further down gives pre-computed values for the amounts people look up most often, and the result panel also reports the reverse conversion so you can check the figure both ways.
The formula
beats per minute- The amount you are converting, measured in beats per minute
0.1047197551- The exact number of radians per second in one beat per minute
radians per second- The converted result
How it works, step by step
- Enter the number of beats per minute you want to convert.
- The value is multiplied by 0.1047197551, the exact conversion factor.
- The result is displayed in radians per second, rounded for readability.
- The unrounded value and the reverse conversion appear underneath so you can verify it.
Worked examples
Converting 5 beats per minute
Multiply 5 by 0.10471976. That gives 0.523599 radians per second. A quick sanity check: one beat per minute is smaller than one radian per second, so the number should get smaller — and it does.
Converting 72 beats per minute
72 × 0.10471976 = 7.5398 radians per second. Working backwards, 7.5398 ÷ 0.10471976 returns 72 beats per minute, which confirms the factor is applied the right way round.
How to read your score
Frequently asked questions
How many radians per second are in one beat per minute?
Exactly 0.1047197551. Every conversion on this page is that single number multiplied by your input, so the result carries no rounding error beyond what is shown.
What is the formula to convert beats per minute to radians per second?
Radians Per Second = beats per minute × 0.1047197551. To reverse it, divide instead: beats per minute = radians per second ÷ 0.1047197551, which is the same as multiplying by 9.549296586.
Is the beat per minute bigger than the radian per second?
No. One beat per minute is only 0.10472 of a radian per second, so the radian per second is the larger unit.
Why does my answer differ slightly from other bpm to radians-per-second converters?
Most differences come from rounding the factor too early. This tool keeps full double precision through the calculation and only rounds at the final display step, and it also shows the unrounded value so you can see exactly where any difference appears.
What is a beat per minute?
Musical tempo and heart rate share this unit.
What is a radian per second?
Angular frequency, the physics-native rotation unit.
Beats Per Minute to radians per second reference table
| Beats Per Minute | Radians Per Second |
|---|---|
| 0.5 BPM | 0.05236 rad/s |
| 1 BPM | 0.10472 rad/s |
| 2 BPM | 0.20944 rad/s |
| 3 BPM | 0.314159 rad/s |
| 5 BPM | 0.523599 rad/s |
| 10 BPM | 1.0472 rad/s |
| 15 BPM | 1.5708 rad/s |
| 20 BPM | 2.0944 rad/s |
| 25 BPM | 2.618 rad/s |
| 50 BPM | 5.236 rad/s |
| 75 BPM | 7.854 rad/s |
| 100 BPM | 10.472 rad/s |
| 250 BPM | 26.1799 rad/s |
| 500 BPM | 52.3599 rad/s |
| 1000 BPM | 104.7198 rad/s |
Exact factor: 1 beat per minute = 0.1047197551 radians per second. Values rounded for display.