Convert degree per second to radian per second Online

Result

Degree per Second (°/s)

Radian per Second (rad/s)

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

Convert Degree 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

Degree per Second (°/s) = Radian per Second (rad/s) × 0.017453

To convert Degree per Second (°/s) to Radian per Second (rad/s), multiply the value by 0.017453. The conversion factor is based on standardized unit definitions and is suitable for engineering analysis, system design, and professional measurement workflows.

Example

Convert 1 deg/s to rad/s.

Step 1: Write the formula: rad/s = deg/s × 0.017453
Step 2: Substitute: 1 × 0.017453
Step 3: Result: 0.017453 rad/s

So, 1 deg/s = 0.017453 rad/s.

About the Units

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.

Radian per Second (rad/s)

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

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

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

One Degree per Second (°/s) equals 0.017453 Radian per Second (rad/s).

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

One deg/s equals 0.017453 rad/s.

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

Multiply the Degree per Second (°/s) value by 0.017453.

Can I reverse the conversion?

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

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