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Convert revolution/second to radian/second

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

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1 revolution/second = 6.28318530718 radian/second

Formula & Calculation Example

Exact Algebraic Formula
1 r/s = 6.28318530718 rad/s
1 rad/s = 0.159154943092 r/s
Step-by-Step Example
Convert 15 r/s to rad/s:
15 × 6.28318530718 = 94.2477796077 rad/s

revolution/second to radian/second Conversion Table

revolution/second (r/s)radian/second (rad/s)
0.01 r/s0.0628318530718 rad/s
0.1 r/s0.628318530718 rad/s
1 r/s6.28318530718 rad/s
2 r/s12.5663706144 rad/s
3 r/s18.8495559215 rad/s
5 r/s31.4159265359 rad/s
10 r/s62.8318530718 rad/s
20 r/s125.663706144 rad/s
50 r/s314.159265359 rad/s
100 r/s628.318530718 rad/s
1000 r/s6283.18530718 rad/s

Related Velocity - Angular Conversions

radian/day to radian/second→radian/second to radian/day→radian/hour to radian/second→radian/second to radian/hour→radian/minute to radian/second→radian/second to radian/minute→degree/day to radian/second→radian/second to degree/day→degree/hour to radian/second→radian/second to degree/hour→degree/minute to radian/second→radian/second to degree/minute→degree/second to radian/second→radian/second to degree/second→revolution/day to radian/second→radian/second to revolution/day→revolution/hour to radian/second→radian/second to revolution/hour→revolution/minute to radian/second→radian/second to revolution/minute→revolution/second to radian/second→radian/second to revolution/second→

Summary & Quick Answer

1 revolution/second is equal to 6.28318530718 radian/second. To convert revolution/second to radian/second, multiply your revolution/second figure by 6.28318530718 (or use the formula: 1 r/s = 6.28318530718 rad/s).

Unit Ratio
1 r/s = 6.28318530718 rad/s
Reverse Ratio
1 rad/s = 0.159154943092 r/s

Step-by-Step Calculation Guide

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

  1. Step 1: Identify your starting value in revolution/second.
  2. Step 2: Apply the conversion multiplier: 1 r/s = 6.28318530718 rad/s.
  3. Step 3: Calculate the product: For example, to convert 10 revolution/second:
    10 × 6.28318530718 = 62.8318530718 radian/second

Frequently Asked Questions: revolution/second to radian/second

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

There are exactly 6.28318530718 radian/second in 1 revolution/second.

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

1 r/s = 6.28318530718 rad/s. For example: Convert 15 r/s to rad/s: gives 15 × 6.28318530718 = 94.2477796077 rad/s.

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

1 rad/s = 0.159154943092 r/s. 1 radian/second equals approximately 0.159154943092 revolution/second.

Is this revolution/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.