Radians per Second (rad/s)	Revolutions per Minute (RPM)
1 rad/s	9.5493 RPM
2 rad/s	19.0986 RPM
5 rad/s	47.7465 RPM
10 rad/s	95.493 RPM
25 rad/s	238.7324 RPM
50 rad/s	477.4648 RPM
100 rad/s	954.9297 RPM
250 rad/s	2387.32 RPM
500 rad/s	4774.65 RPM
1000 rad/s	9549.3 RPM

Convert Radians per Second to Revolutions per Minute

Convert radians per second to revolutions per minute (rad/s to RPM) with our instant calculator. 1 rad/s = 9.549297 RPM. Includes exact formula and reference tables.

How to Convert Radians per Second to Revolutions per Minute (rad/s to RPM)

1 Radians per Second (rad/s) is equal to 9.549297 Revolutions per Minute (RPM). Multiply the radians per second value by 9.549296586

Quick Answer 1 rad/s = 9.549297 RPM

Formula RPM = rad/s × 9.549296586

Inverse Factor 1 RPM = 0.10472 rad/s

Unit Definitions & Metrology Context

The standard SI unit of frequency is the hertz (Hz), defined as one complete cycle or oscillation per second (1 s⁻¹).

About Radians per Second (rad/s): Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz).

About Revolutions per Minute (RPM): Revolutions per Minute (RPM) is a unit in the Frequency measurement category. It is widely used in motor & engine rotation. Relative to the frequency base unit, 1 RPM equals 0.016667 Hertz (Hz).

Need to convert in the opposite direction? Visit our Convert Revolutions per Minute to Radians per Second (RPM to rad/s) calculator (1 RPM = 0.10472 rad/s).

Step-by-Step Worked Examples (rad/s to RPM)

Convert 5 Radians per Second to Revolutions per Minute: Applying the formula (RPM = rad/s × 9.549296586): starting with 5 rad/s, multiply the radians per second value by 9.549296586 to get 47.7465 RPM.
Convert 10 Radians per Second to Revolutions per Minute: Applying the formula (RPM = rad/s × 9.549296586): starting with 10 rad/s, multiply the radians per second value by 9.549296586 to get 95.493 RPM.
Convert 50 Radians per Second to Revolutions per Minute: Applying the formula (RPM = rad/s × 9.549296586): starting with 50 rad/s, multiply the radians per second value by 9.549296586 to get 477.4648 RPM.

Popular Frequency Conversions

Hertz ⇄ Revolutions per Minute

Multiply Hertz by 60 to calculate Revolutions per Minute (RPM = Hz × 60).

Revolutions per Minute ⇄ Hertz

Divide RPM by 60 to find frequency in Hertz (Hz = RPM ÷ 60).

Gigahertz ⇄ Megahertz

1 gigahertz (GHz) contains exactly 1,000 megahertz (MHz).

Megahertz ⇄ Kilohertz

1 megahertz (MHz) contains exactly 1,000 kilohertz (kHz).

Radians per Second ⇄ Hertz

Divide radians per second by 2π (~6.283185) to calculate frequency in Hertz.

Frequently Asked Questions

Verified answers and formulas for converting radians per second to revolutions per minute.

How many revolutions per minute are in 1 radians per second?

There are 9.549297 revolutions per minute (RPM) in 1 radians per second (rad/s). Conversely, 1 revolutions per minute equals 0.10472 radians per second.

How do you convert radians per second to revolutions per minute?

To convert radians per second (rad/s) to revolutions per minute (RPM), use the formula: RPM = rad/s × 9.549296586. Multiply the radians per second value by 9.549296586. For example, 10 rad/s equals 95.493 RPM.

How do I convert back from revolutions per minute to radians per second?

To convert in the reverse direction from revolutions per minute (RPM) to radians per second (rad/s), use the inverse formula: rad/s = RPM × 0.1047197551. Multiply the revolutions per minute value by 0.1047197551 (1 RPM = 0.10472 rad/s).

What is the difference between radians per second (rad/s) and revolutions per minute (RPM)?

Both radians per second and revolutions per minute measure frequency. Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz). Revolutions per Minute (RPM) is a unit in the Frequency measurement category. It is widely used in motor & engine rotation. Relative to the frequency base unit, 1 RPM equals 0.016667 Hertz (Hz).

How do you convert RPM to Hertz (Hz)?

To convert RPM (revolutions per minute) to Hertz (cycles per second), divide by 60. For example, a car engine idling at 600 RPM is spinning at 10 Hz (600 ÷ 60 = 10 Hz).