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Convert revolution per second to radian per second Online

Angular Velocity Converter with Revolution per Second (rev/s) 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 Second (rev/s) = Radian per Second (rad/s) × 6.283185

To convert Revolution per Second (rev/s) to Radian per Second (rad/s), multiply the value by 6.283185. The conversion factor is based on standardized unit definitions and is suitable for engineering analysis, system design, and professional measurement workflows.

Common revolution per second to radian per second values

Common revolution per second to radian per second values
revolution per secondradian per second
16.28319
212.56637
531.41593
1062.83185
25157.07963
50314.15927
100628.31853

Example

Convert 1 rev/s to rad/s.

  • Step 1: Write the formula: rad/s = rev/s × 6.283185
  • Step 2: Substitute: 1 × 6.283185
  • Step 3: Result: 6.283185 rad/s
So, 1 rev/s = 6.283185 rad/s.

About the Units

Revolution per Second (rev/s)

One Revolution per Second (rev/s) equals 6.283185 Radians 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 0.159155 Revolution per Second (rev/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 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 Second (rev/s)?

1 Revolution per Second (rev/s) = 6.283185 Radians per Second (rad/s).

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

One Revolution per Second (rev/s) equals 6.283185 Radians per Second (rad/s).

How many rad/s are in one rev/s?

One rev/s equals 6.283185 rad/s.

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

Multiply the Revolution per Second (rev/s) value by 6.283185.

Can I reverse the conversion?

Yes. 1 Radians per Second (rad/s) = 0.159155 Revolution per Second (rev/s).

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