UnitGlideEvery Conversion, Made Simple
VELOCITY - ANGULAR CONVERTER

Convert radian/second to degree/second

Bidirectional real-time conversion instrument. Invert Direction (degree/second → radian/second) →

Swap
1 radian/second = 57.2957795131 degree/second

Formula & Calculation Example

Exact Algebraic Formula
1 rad/s = 57.2957795131 °/s
1 °/s = 0.0174532925199 rad/s
Step-by-Step Example
Convert 15 rad/s to °/s:
15 × 57.2957795131 = 859.436692696 °/s

radian/second to degree/second Conversion Table

radian/second (rad/s)degree/second (°/s)
0.01 rad/s0.572957795131 °/s
0.1 rad/s5.72957795131 °/s
1 rad/s57.2957795131 °/s
2 rad/s114.591559026 °/s
3 rad/s171.887338539 °/s
5 rad/s286.478897565 °/s
10 rad/s572.957795131 °/s
20 rad/s1145.91559026 °/s
50 rad/s2864.78897565 °/s
100 rad/s5729.57795131 °/s
1000 rad/s57295.7795131 °/s

Related Velocity - Angular Conversions

Summary & Quick Answer

1 radian/second is equal to 57.2957795131 degree/second. To convert radian/second to degree/second, multiply your radian/second figure by 57.2957795131 (or use the formula: 1 rad/s = 57.2957795131 °/s).

Unit Ratio
1 rad/s = 57.2957795131 °/s
Reverse Ratio
1 °/s = 0.0174532925199 rad/s

Step-by-Step Calculation Guide

To convert any quantity from radian/second to degree/second, follow these steps:

  1. Step 1: Identify your starting value in radian/second.
  2. Step 2: Apply the conversion multiplier: 1 rad/s = 57.2957795131 °/s.
  3. Step 3: Calculate the product: For example, to convert 10 radian/second:
    10 × 57.2957795131 = 572.957795131 degree/second

Frequently Asked Questions: radian/second to degree/second

How many degree/second are in 1 radian/second?

There are exactly 57.2957795131 degree/second in 1 radian/second.

What is the formula to convert radian/second to degree/second?

1 rad/s = 57.2957795131 °/s. For example: Convert 15 rad/s to °/s: gives 15 × 57.2957795131 = 859.436692696 °/s.

How do I convert degree/second back to radian/second?

1 °/s = 0.0174532925199 rad/s. 1 degree/second equals approximately 0.0174532925199 radian/second.

Is this radian/second to degree/second conversion accurate?

Yes, UnitGlide calculates all conversions with up to 12 decimal places of precision according to BIPM (Bureau International des Poids et Mesures) and NIST standards.