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Convert revolution per minute to radian per second Online

Angular Velocity Converter with Revolution per Minute (RPM) to Radian per Second (rad/s) Conversion

Convert Revolution to Radian using the exact conversion factor. This page provides the formula, reference values, and practical context for engineering, technical calculations, and professional measurement use.

Conversion Formula

Revolution per Minute (RPM) = Radian per Second (rad/s) × 0.10472

To convert Revolution per Minute (RPM) to Radian per Second (rad/s), multiply the value by 0.10472. The conversion factor is based on standardized unit definitions and is suitable for engineering analysis, system design, and professional measurement workflows.

Common revolution per minute to radian per second values

Common revolution per minute to radian per second values
revolution per minuteradian per second
10.10472
20.20944
50.5236
101.0472
252.618
505.23599
10010.47198

Example

Convert 1 rpm to rad/s.

  • Step 1: Write the formula: rad/s = rpm × 0.10472
  • Step 2: Substitute: 1 × 0.10472
  • Step 3: Result: 0.10472 rad/s
So, 1 rpm = 0.10472 rad/s.

About the Units

Revolution per Minute (RPM)

One Revolution per Minute (RPM) equals 0.10472 Radian per Second (rad/s)

Units of angular velocity are standardized measurements used to quantify rotational speed in motors, machinery, and control systems.

Radian per Second (rad/s)

One Radian per Second (rad/s) equals 9.549292 Revolutions per Minute (RPM)

Units of angular velocity are standardized measurements used to quantify rotational speed in motors, machinery, and control systems.

Where This Conversion Is Used

  • Convert Revolutions to Radians to ensure consistent values across calculations, reports, and measurement systems.
  • Helps normalize rotational speed values from sensors, motors, and simulation models that use different angular unit conventions.
  • Commonly used when comparing RPM-based specifications with radian- or degree-based calculations.

Frequently Asked Questions

How many Radian per Second (rad/s) are in 1 Revolution per Minute (RPM)?

1 Revolution per Minute (RPM) = 0.10472 Radian per Second (rad/s).

How many Radian per Second (rad/s) are in one Revolution per Minute (RPM)?

One Revolution per Minute (RPM) equals 0.10472 Radian per Second (rad/s).

How many rad/s are in one rpm?

One rpm equals 0.10472 rad/s.

What is the formula for converting Revolution per Minute (RPM) to Radian per Second (rad/s)?

Multiply the Revolution per Minute (RPM) value by 0.10472.

Can I reverse the conversion?

Yes. 1 Radian per Second (rad/s) = 9.549292 Revolutions per Minute (RPM).

Is this Revolution per Minute (RPM) to Radian per Second (rad/s) conversion accurate for engineering use?

Yes. The conversion uses a standardized conversion factor suitable for engineering calculations, technical analysis, and professional reference.

Can this conversion be used for scientific or technical calculations?

Yes. This conversion is appropriate for scientific analysis, engineering calculations, simulations, and technical documentation where unit consistency is required.

Conclusion

By applying the conversion factor shown above, you can convert Revolution per Minute (RPM) to Radian per Second (rad/s) for motor speed analysis, rotating equipment evaluation, and control systems.

Convert revolution per minute to Other Units

Convert radian per second to Other Units

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