Unit Conversions & Measures
Revolutions per Minute to Radians per Second Converter
Convert revolutions per minute to radians per second with the exact factor, the working shown step by step and a plain-English explanation.
Your inputs
Change any value to update the result instantly.
Radians per Second
10.471976 rad/s
Conversion factor
1 rpm = 0.1047197551 rad/s
Value in hertz (internal base unit)
1.666667 Hz
Reverse conversion check
10.471976 rad/s = 100 rpm
Rounded for everyday use
10.47 rad/s
What this calculator does
Converts a measurement given in revolution per minutes into radian per seconds using the defined conversion factor.
What your result means
The same quantity expressed in rad/s instead of rpm. Nothing about the measurement itself changes.
Formula and working
rad/s = rpm × 0.1047197551
- 1
Start with your value
100 rpm
- 2
Convert to hertz
100 × 0.0166666667 = 1.666667 Hz
- 3
Convert into radians per second
1.666667 ÷ 0.1591549431 = 10.471976 rad/s
- 4
Result
100 rpm = 10.471976 rad/s
Frequently asked questions
Symbols and assumptions
- rpm
- Input unit — revolution per minute
- rad/s
- Output unit — radian per second
- Hz
- Base unit used internally for frequency and rotation
- • Both units measure frequency and rotation, so the physical quantity is unchanged by the conversion.
- • The relationship is exactly linear: 1 rpm = 0.1047197551 rad/s.
- • Values are converted through the SI base unit for this quantity rather than pair by pair.
Sources and review
Reviewed 2026-09-22 · Next review 2027-09-22
- • A unit conversion changes how a number is expressed, not how it was measured — the answer can never be more accurate than the value entered.
- • Displayed figures are rounded for readability; the full stored precision of the rad/s value is used in every onward calculation.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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