Convert Radians per second to Degrees per second

Instantly convert Radians per second (rad/s) to Degrees per second (deg/s) with our free online calculator.

Formula: rad/s to deg/smultiply by 57.2958

Reference Table

Radians per second (rad/s)Degrees per second (deg/s)
157.2958
5286.479
10572.958
251432.39
502864.79
1005729.58

How to Convert Radians per second to Degrees per second

Formula

To convert Radians per second (rad/s) to Degrees per second (deg/s): multiply by 57.2958

Step-by-Step

  1. Start with your value in Radians per second (rad/s).
  2. Multiply by 57.2958 to perform the conversion.
  3. The result is your value expressed in Degrees per second (deg/s).

Conversion Factor

1 rad/s = 57.2958 deg/s

Reverse Factor

1 deg/s = 0.0174533 rad/s

Worked Example

Convert 25 Radians per second to Degrees per second: 25 rad/s = 1432.39 deg/s

About Radian per second (rad/s)

The SI unit of angular velocity; one radian of rotation per second

About Degree per second (deg/s)

Angular velocity in degrees rotated per second

Quick Facts

  • 1 Radian per second equals 57.2958 Degrees per second
  • 1 Degree per second equals 0.0174533 Radians per second
  • Radian per second is a unit of angular velocity
  • Degree per second is a unit of angular velocity
  • This conversion is commonly used in motor specifications, rotating machinery, and mechanical design

Common Radian per second to Degree per second Conversions

Radians per second (rad/s)Degrees per second (deg/s)
0.010.572958
0.15.72958
0.2514.3239
0.528.6479
157.2958
2114.592
3171.887
5286.479
10572.958
15859.437
201145.92
251432.39
502864.79
754297.18
1005729.58
25014323.9
50028647.9
100057295.8
5000286479
10000572958

Understanding Radians per second

The Radian per second (symbol: rad/s) is a unit of angular velocity. The SI unit of angular velocity; one radian of rotation per second

Radians per second are commonly used in motor specifications, rotating machinery, and mechanical design.

Understanding Degrees per second

The Degree per second (symbol: deg/s) is a unit of angular velocity. Angular velocity in degrees rotated per second

Degrees per second are commonly used in motor specifications, rotating machinery, and mechanical design.

Why Convert Radians per second to Degrees per second?

Converting between Radians per second and Degrees per second is a frequent requirement for engineers, scientists, and students working with angular velocity values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angular velocity conversion is essential.

Frequently Asked Questions

How do I convert Radians per second to Degrees per second?

To convert Radians per second to Degrees per second, multiply by 57.2958. For example, 25 rad/s equals 1432.39 deg/s.

How many Degrees per second are in 1 Radian per second?

There are 57.2958 Degrees per second in 1 Radian per second.

How many Radians per second are in 1 Degree per second?

There are 0.0174533 Radians per second in 1 Degree per second.

What is the formula for Radian per second to Degree per second conversion?

The formula is: multiply by 57.2958. This means 1 rad/s = 57.2958 deg/s.

Is a Radian per second bigger than a Degree per second?

No. One Radian per second is smaller than one Degree per second because 1 rad/s equals 57.2958 deg/s, which is greater than 1.

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