Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Beats per minute Converter — rad/s to bpm
Convert Radians per second (rad/s) to Beats per minute (bpm) using the exact conversion factor (1 radians per second = 9.549296586 beats per minute). See the formula, worked examples, conversion table, and common uses.
Radians per second to Beats per minute converter
Converter
Frequency Converter
Convert hertz, SI frequency prefixes, RPM, beats per minute, and angular frequency.
Context values
Some unit families need one extra value for a physically accurate result.
Beats per minute as a frequency.
Result = input x 0.1591549431 / 0.01666666667.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Beats per minute
Radians per second and Beats per minute both describe how fast something cycles or rotates, and the conversion is a routine part of reading a car tachometer or motor spec sheet against a scientific frequency figure. Specifically: Angular frequency converted by one revolution equals 2*pi radians, and beats per minute as a frequency.
Formula
beats per minute = radians per second × 9.54929658551
This factor comes from each unit's defined relationship to the category's base unit: 1 radians per second equals 0.159154943092 base units, and 1 beats per minute equals 0.0166666666667 base units, so dividing one by the other gives the direct radians per second-to-beats per minute factor of 9.54929658551.
Simple example
1 rad/s × 9.549296586 = 9.549296586 bpm
1 radians per second = 9.549296586 beats per minute.
Real-world example
1,000 rad/s × 9.549296586 = 9,549.296586 bpm
1,000 radians per second = 9,549.296586 beats per minute.
Conversion table
| Radians per second (rad/s) | Beats per minute (bpm) |
|---|---|
| 60 rad/s | 572.9577951 bpm |
| 600 rad/s | 5,729.577951 bpm |
| 1,000 rad/s | 9,549.296586 bpm |
| 3,000 rad/s | 28,647.88976 bpm |
| 6,000 rad/s | 57,295.77951 bpm |
| 10,000 rad/s | 95,492.96586 bpm |
Reverse conversion: Beats per minute to Radians per second
9.549296586 bpm × 0.1047197551 = 1 rad/s
9.549296586 beats per minute = 1 radians per second.
radians per second = beats per minute × 0.10471975512
For a page dedicated to this direction, see Beats per minute to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Beats per minute
Beats per minute (bpm) measures frequency (beats or cycles per minute). Counts the number of discrete events — heartbeats or musical beats — occurring in one minute. It is classified as a everyday rate unit.
Where it's used: Universal — used identically worldwide in both medicine and music
bpm vs. hertz. Both measure events per unit time, but bpm counts per minute while hertz counts per second — 1 Hz equals 60 bpm. bpm is used because a per-minute rate is more practically readable for heart rates and musical tempos than a per-second one.
Uses of the Beats per minute today
- Heart rate / pulse measurement in medicine and fitness tracking
- Musical tempo markings (a 120 bpm track has two beats per second)
- Cadence measurement in exercise (e.g. running or cycling step rate)
Beats per minute — sources
- American Heart Association — normal heart rate ranges — Standard clinical use of beats per minute for pulse measurement.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many beats per minute are in 1 radians per second?
1 radians per second equals 9.549296586 beats per minute, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to beats per minute?
Multiply the radians per second value by 9.549296586. The converter above does this instantly to whatever precision you set.
How do I convert beats per minute back to radians per second?
Use the reverse factor: 1 beats per minute equals 0.1047197551 radians per second. You can also use the swap control in the converter above to flip the direction instantly.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
What is a beats per minute?
Beats per minute (bpm) measures frequency (beats or cycles per minute). Counts the number of discrete events — heartbeats or musical beats — occurring in one minute. It is classified as a everyday rate unit.
Is the radians per second to beats per minute conversion exact?
Yes. Both radians per second and beats per minute are defined by fixed standards rather than physical artifacts, so the factor of 9.549296586 used above is exact to as many digits as you choose to display.
What is the difference between bpm vs. hertz?
Both measure events per unit time, but bpm counts per minute while hertz counts per second — 1 Hz equals 60 bpm. bpm is used because a per-minute rate is more practically readable for heart rates and musical tempos than a per-second one.