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Convert radian per second to degree per second Online

Angular Velocity Converter with Radian per Second (rad/s) to Degree per Second (°/s) Conversion

Convert Radian to Degree 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) = Degree per Second (°/s) × 57.295755

To convert Radian per Second (rad/s) to Degree per Second (°/s), multiply the value by 57.295755. The conversion factor is based on standardized unit definitions and is suitable for engineering analysis, system design, and professional measurement workflows.

Common radian per second to degree per second values

Common radian per second to degree per second values
radian per seconddegree per second
157.29575
2114.59151
5286.47877
10572.95755
251,432.39387
502,864.78775
1005,729.5755

Example

Convert 1 rad/s to deg/s.

  • Step 1: Write the formula: deg/s = rad/s × 57.295755
  • Step 2: Substitute: 1 × 57.295755
  • Step 3: Result: 57.295755 deg/s
So, 1 rad/s = 57.295755 deg/s.

About the Units

Radian per Second (rad/s)

One Radian per Second (rad/s) equals 57.295755 Degrees per Second (°/s)

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

Degree per Second (°/s)

One Degree per Second (°/s) equals 0.017453 Radian 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 Degrees 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 Degree per Second (°/s) are in 1 Radian per Second (rad/s)?

1 Radian per Second (rad/s) = 57.295755 Degrees per Second (°/s).

How many Degree per Second (°/s) are in one Radian per Second (rad/s)?

One Radian per Second (rad/s) equals 57.295755 Degrees per Second (°/s).

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

One rad/s equals 57.295755 deg/s.

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

Multiply the Radian per Second (rad/s) value by 57.295755.

Can I reverse the conversion?

Yes. 1 Degrees per Second (°/s) = 0.017453 Radian per Second (rad/s).

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