Convert radian per second to revolution per minute Online

Result

Radian per Second (rad/s)

Revolution per Minute (RPM)

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

Convert Radian to Revolution 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

Radian per Second (rad/s) = Revolution per Minute (RPM) × 9.549292

To convert Radian per Second (rad/s) to Revolution per Minute (RPM), multiply the value by 9.549292. The conversion factor is based on standardized unit definitions and is suitable for engineering analysis, system design, and professional measurement workflows.

Example

Convert 1 rad/s to rpm.

Step 1: Write the formula: rpm = rad/s × 9.549292
Step 2: Substitute: 1 × 9.549292
Step 3: Result: 9.549292 rpm

So, 1 rad/s = 9.549292 rpm.

About the Units

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.

Revolution per Minute (RPM)

One Revolution per Minute (RPM) equals 9.549292 Radians per Second (rad/s)

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

Where This Conversion Is Used

Convert Radians to Revolutions 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 Revolution per Minute (RPM) are in 1 Radian per Second (rad/s)?

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

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

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

How many rpm are in one rad/s?

One rad/s equals 9.549292 rpm.

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

Multiply the Radian per Second (rad/s) value by 9.549292.

Can I reverse the conversion?

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

Is this Radian per Second (rad/s) to Revolution per Minute (RPM) 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 Radian per Second (rad/s) to Revolution per Minute (RPM) for motor speed analysis, rotating equipment evaluation, and control systems.