Convert Radians per Second to BPM (rad/s to bpm)
1 radian per second (rad/s) = 9.549296586 beats per minute (bpm). 1 bpm = 0.1047197551 rad/s. Example: 15 rad/s = 15 × 9.549296586 = 143.2394488 bpm.
Also searched as radians per second to bpm, radians per second in bpm, radians per second into beats per minute, rad/s to bpm, rad/s in beats per minute, rad/s into beat per minute, radian per second to beat per minute, rad/s to beats per minute converter and how many beats per minute in a radian per second.
1 rad/s = 9.549296586 bpm
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk radian per second to beat per minute converter to paste a column from Excel.
How to Convert Radian per Second to BPM
- 1 rad/s = 9.549296586 bpm
- 1 bpm = 0.1047197551 rad/s
- Example: convert 15 rad/s to bpm: 15 rad/s = 15 × 9.549296586 bpm = 143.2394488 bpm
Formula
bpm = rad/s × 9.549296585514
Derivation from SI units:
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 bpm = 1/60 Hz.
- 1 rad/s = 0.1591549430919 Hz ÷ 0.01666666666667 Hz per bpm = 9.549296585514 bpm
Both units are defined exactly, so the factor is exact. Radian per Second definition: radian per second; BPM definition: beat per minute.
Worked examples
- A reading of 6.28318 rad/s converts to 59.99994932 bpm.
6.28318 rad/s × 9.549296586 = 59.99994932 bpm - A value of 100 rad/s is 954.9296586 bpm.
100 rad/s × 9.549296586 = 954.9296586 bpm
Radian per Second to BPM conversion table
| Radians per Second (rad/s) | BPM |
|---|---|
| 1 rad/s | 9.549296586 bpm |
| 2 rad/s | 19.09859317 bpm |
| 3.14159 rad/s | 29.99997466 bpm |
| 6.28318 rad/s | 59.99994932 bpm |
| 10 rad/s | 95.49296586 bpm |
| 50 rad/s | 477.4648293 bpm |
| 100 rad/s | 954.9296586 bpm |
| 314.159 rad/s | 2999.997466 bpm |
| 376.991 rad/s | 3599.998869 bpm |
| 1000 rad/s | 9549.296586 bpm |
Where it's used
Radians per Second are used for angular velocity in physics and dynamics, while beats per minute appear in heart rate. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Radian per Second to other frequency units
| Conversion | 1 rad/s equals |
|---|---|
| radian per second to beat per minute | 9.549296586 bpm |
| radian per second to hertz | 0.1591549431 Hz |
| radian per second to megahertz | 1.591549431 × 10⁻⁷ MHz |
| radian per second to gigahertz | 1.591549431 × 10⁻¹⁰ GHz |
| radian per second to revolution per minute | 9.549296586 rpm |
| radian per second to kilohertz | 0.0001591549431 kHz |
| radian per second to revolution per second | 0.1591549431 rps |
| radian per second to degree per second | 57.29577951 °/s |
Show 1 more units
| radian per second to terahertz | 1.591549431 × 10⁻¹³ THz |
|---|
Frequently asked questions
How many beats per minute are in 1 radian per second?
1 rad/s = 9.549296586 bpm.
How do I convert radians per second to beats per minute?
Multiply the value in rad/s by 9.549296586. For example, 15 rad/s × 9.549296586 = 143.2394488 bpm.
Is the rad/s to bpm conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 7 (SI prefixes); hertz, Table 4.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Radians per Second to BPM (rad/s to bpm). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/radians-per-second-to-bpm/
IEEE
Scientific Converters, "Convert Radians per Second to BPM (rad/s to bpm)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/radians-per-second-to-bpm/