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Convert degree/second to radian/second

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

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1 degree/second = 0.0174532925199 radian/second

Formula & Calculation Example

Exact Algebraic Formula
1 °/s = 0.0174532925199 rad/s
1 rad/s = 57.2957795131 °/s
Step-by-Step Example
Convert 15 °/s to rad/s:
15 × 0.0174532925199 = 0.261799387799 rad/s

degree/second to radian/second Conversion Table

degree/second (°/s)radian/second (rad/s)
0.01 °/s0.000174532925199 rad/s
0.1 °/s0.00174532925199 rad/s
1 °/s0.0174532925199 rad/s
2 °/s0.0349065850399 rad/s
3 °/s0.0523598775598 rad/s
5 °/s0.0872664625997 rad/s
10 °/s0.174532925199 rad/s
20 °/s0.349065850399 rad/s
50 °/s0.872664625997 rad/s
100 °/s1.74532925199 rad/s
1000 °/s17.4532925199 rad/s

Related Velocity - Angular Conversions

Summary & Quick Answer

1 degree/second is equal to 0.0174532925199 radian/second. To convert degree/second to radian/second, multiply your degree/second figure by 0.0174532925199 (or use the formula: 1 °/s = 0.0174532925199 rad/s).

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

Step-by-Step Calculation Guide

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

  1. Step 1: Identify your starting value in degree/second.
  2. Step 2: Apply the conversion multiplier: 1 °/s = 0.0174532925199 rad/s.
  3. Step 3: Calculate the product: For example, to convert 10 degree/second:
    10 × 0.0174532925199 = 0.174532925199 radian/second

Frequently Asked Questions: degree/second to radian/second

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

There are exactly 0.0174532925199 radian/second in 1 degree/second.

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

1 °/s = 0.0174532925199 rad/s. For example: Convert 15 °/s to rad/s: gives 15 × 0.0174532925199 = 0.261799387799 rad/s.

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

1 rad/s = 57.2957795131 °/s. 1 radian/second equals approximately 57.2957795131 degree/second.

Is this degree/second to radian/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.