Convert 10 Revolutions/Second (rps) to Radian/Second (rad/s).

10 Revolutions/Second equals 62.831853 Radian/Second. Multiply 10 by 6.2831853072.

What is 10 Revolutions/Second in Radian/Second?

10 Revolutions/Second equals 62.831853 Radian/Second.

How many Radian/Seconds are in 1 Revolutions/Second?

There are exactly 6.2831853072 Radian/Seconds in 1 Revolutions/Second. This means the conversion factor from Revolutions/Second to Radian/Second is 6.2831853072.

What is the formula to convert Revolutions/Second to Radian/Second?

The formula to convert Revolutions/Second to Radian/Second is: rad/s = rps × 6.2831853072. For example, to convert 10 Revolutions/Seconds to Radian/Seconds, you would multiply 10 by 6.2831853072.

What are the common uses of Revolutions/Second?

The Revolutions/Second is commonly used in frequency calculations, engineering and science, education.

What is 10 Revolutions/Second in Radian/Second?

To convert 10 Revolutions/Seconds to Radian/Seconds, multiply by 6.2831853072. Therefore, 10 Revolutions/Second (rps) equals 62.831853 Radian/Second (rad/s).

10 Revolutions/Second to Radian/Second

Worked example: converting Revolutions/Second to Radian/Second

Step 1 — start with the formula. rad/s = rps × 6.2831853072
Step 2 — substitute your figure. 10 rps × 6.2831853072
Step 3 — read the result. 10 rps = 62.831853 rad/s
Step 4 — check it in reverse. rps = rad/s × 0.1591549431 returns 10 rps, which matches the figure you started with.

Frequency Converter

13 units available

Decimals:

From

To

62.831853

10 rps = 62.831853 rad/s

Formula:

rad/s = rps × 6.2831853072

With your value: 10 rps = 62.83185307 rad/s

Other Revolutions/Second to Radian/Second conversions

6 rps to rad/s 7 rps to rad/s 8 rps to rad/s 9 rps to rad/s 11 rps to rad/s 12 rps to rad/s 13 rps to rad/s Full Revolutions/Second to Radian/Second converter

Revolutions/Second to Radian/Second Conversion Table

Revolutions/Second (rps)	Radian/Second (rad/s)
0.5	3.141593
1	6.283185
2	12.566371
5	31.415927
10	62.831853
15	94.24778
20	125.663706
25	157.079633
50	314.159265
100	628.318531
250	1,570.796327
500	3,141.592654
1000	6,283.185307

Radian/Second to Revolutions/Second Conversion Table

Radian/Second (rad/s)	Revolutions/Second (rps)
0.5	0.079577
1	0.159155
2	0.31831
5	0.795775
10	1.591549
15	2.387324
20	3.183099
25	3.978874
50	7.957747
100	15.915494
250	39.788736
500	79.577472
1000	159.154943

Where these values come from

Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.

Revolutions/Second (rps)

Frequency

SI definition

Derived from the hertz (1 Hz = 1 s⁻¹), traceable to the SI second.

Source: BIPM, The International System of Units (SI), 9th edition, 2019 (updated 2024)

Bureau International des Poids et Mesures · Reviewed 2026-07-01

Radian/Second (rad/s)

Frequency

SI definition

Derived from the hertz (1 Hz = 1 s⁻¹), traceable to the SI second.

Source: BIPM, The International System of Units (SI), 9th edition, 2019 (updated 2024)

Bureau International des Poids et Mesures · Reviewed 2026-07-01

How to Convert Revolutions/Second to Radian/Second

To convert from Revolutions/Second (rps) to Radian/Second (rad/s), multiply the value by 6.2831853072.

Formula: rad/s = rps × 6.2831853072

Reverse: rps = rad/s × 0.1591549431

Step-by-Step Example

Start with your value in Revolutions/Second. For example: 5 rps
Multiply by the conversion factor: 5 x 6.2831853072
The result is: 31.415927 rad/s

Revolutions/Second and Radian/Second Relationship

This calculation facilitates standardized conversion between recognized units of frequency. Since 1 Revolutions/Second equals approximately 6.2832 Radian/Seconds, the Revolutions/Second represents a larger unit interval than the Radian/Second. Understanding the relationship between Revolutions/Second and Radian/Second is essential for accurate calculations in physics, engineering, commerce, and daily applications.

About Revolutions/Second

The Revolutions/Second (symbol: rps) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.

Common uses of Revolutions/Second: frequency calculations, engineering and science, education.

About Radian/Second

The Radian/Second (symbol: rad/s) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.

Common uses of Radian/Second: frequency calculations, engineering and science, education.

Frequently Asked Questions

What is 10 Revolutions/Second in Radian/Second?: 10 Revolutions/Second equals 62.831853 Radian/Second.
How many Radian/Seconds are in 1 Revolutions/Second?: There are exactly 6.2831853072 Radian/Seconds in 1 Revolutions/Second. This means the conversion factor from Revolutions/Second to Radian/Second is 6.2831853072.
What is the formula to convert Revolutions/Second to Radian/Second?: The formula to convert Revolutions/Second to Radian/Second is: rad/s = rps × 6.2831853072. For example, to convert 10 Revolutions/Seconds to Radian/Seconds, you would multiply 10 by 6.2831853072.
What is a Revolutions/Second?: The Revolutions/Second (symbol: rps) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.
What is a Radian/Second?: The Radian/Second (symbol: rad/s) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.
What are the common uses of Revolutions/Second?: The Revolutions/Second is commonly used in frequency calculations, engineering and science, education.