Beats per minute as a frequency.
Beats per minute to Radians per second Converter — bpm to rad/s
Convert Beats per minute (bpm) to Radians per second (rad/s) using the exact conversion factor (1 beats per minute = 0.1047197551 radians per second). See the formula, worked examples, conversion table, and common uses.
Beats per minute to Radians per second 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.
Angular frequency converted by one revolution equals 2*pi radians.
Result = input x 0.01666666667 / 0.1591549431.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Beats per minute to Radians per second
Beats per minute and Radians per second 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. Beats per minute is most often used for heart rate / pulse measurement in medicine and fitness tracking.
Formula
radians per second = beats per minute × 0.10471975512
This factor comes from each unit's defined relationship to the category's base unit: 1 beats per minute equals 0.0166666666667 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct beats per minute-to-radians per second factor of 0.10471975512.
Simple example
1 bpm × 0.1047197551 = 0.1047197551 rad/s
1 beats per minute = 0.1047197551 radians per second.
Real-world example
1,000 bpm × 0.1047197551 = 104.7197551 rad/s
1,000 beats per minute = 104.7197551 radians per second.
Conversion table
| Beats per minute (bpm) | Radians per second (rad/s) |
|---|---|
| 60 bpm | 6.283185307 rad/s |
| 600 bpm | 62.83185307 rad/s |
| 1,000 bpm | 104.7197551 rad/s |
| 3,000 bpm | 314.1592654 rad/s |
| 6,000 bpm | 628.3185307 rad/s |
| 10,000 bpm | 1,047.197551 rad/s |
Reverse conversion: Radians per second to Beats per minute
0.1047197551 rad/s × 9.549296586 = 0.9999999998 bpm
0.1047197551 radians per second = 0.9999999998 beats per minute.
beats per minute = radians per second × 9.54929658551
For a page dedicated to this direction, see Radians per second to Beats per minute.
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)
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
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 radians per second are in 1 beats per minute?
1 beats per minute equals 0.1047197551 radians per second, using the exact defined conversion factor rather than an estimate.
How do I convert beats per minute to radians per second?
Multiply the beats per minute value by 0.1047197551. The converter above does this instantly to whatever precision you set.
How do I convert radians per second back to beats per minute?
Use the reverse factor: 1 radians per second equals 9.549296586 beats per minute. You can also use the swap control in the converter above to flip the direction instantly.
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.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
Is the beats per minute to radians per second conversion exact?
Yes. Both beats per minute and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 0.1047197551 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.
Where is the beats per minute still used today?
Universal — used identically worldwide in both medicine and music