Revolutions per Minute (RPM)	Radians per Second (rad/s)
1 RPM	0.1047 rad/s
2 RPM	0.2094 rad/s
5 RPM	0.5236 rad/s
10 RPM	1.0472 rad/s
25 RPM	2.618 rad/s
50 RPM	5.236 rad/s
100 RPM	10.472 rad/s
250 RPM	26.1799 rad/s
500 RPM	52.3599 rad/s
1000 RPM	104.7198 rad/s

Convert Revolutions per Minute to Radians per Second

Convert revolutions per minute to radians per second (RPM to rad/s) with our instant calculator. 1 RPM = 0.10472 rad/s. Includes exact formula and reference tables.

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

1 Revolutions per Minute (RPM) is equal to 0.10472 Radians per Second (rad/s). Multiply the revolutions per minute value by 0.1047197551

Quick Answer 1 RPM = 0.10472 rad/s

Formula rad/s = RPM × 0.1047197551

Inverse Factor 1 rad/s = 9.549297 RPM

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 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).

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).

Need to convert in the opposite direction? Visit our Convert Radians per Second to Revolutions per Minute (rad/s to RPM) calculator (1 rad/s = 9.549297 RPM).

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

Convert 5 Revolutions per Minute to Radians per Second: Applying the formula (rad/s = RPM × 0.1047197551): starting with 5 RPM, multiply the revolutions per minute value by 0.1047197551 to get 0.5236 rad/s.
Convert 10 Revolutions per Minute to Radians per Second: Applying the formula (rad/s = RPM × 0.1047197551): starting with 10 RPM, multiply the revolutions per minute value by 0.1047197551 to get 1.0472 rad/s.
Convert 50 Revolutions per Minute to Radians per Second: Applying the formula (rad/s = RPM × 0.1047197551): starting with 50 RPM, multiply the revolutions per minute value by 0.1047197551 to get 5.236 rad/s.

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 revolutions per minute to radians per second.

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

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

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

To convert revolutions per minute (RPM) to radians per second (rad/s), use the formula: rad/s = RPM × 0.1047197551. Multiply the revolutions per minute value by 0.1047197551. For example, 10 RPM equals 1.0472 rad/s.

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

To convert in the reverse direction from radians per second (rad/s) to revolutions per minute (RPM), use the inverse formula: RPM = rad/s × 9.549296586. Multiply the radians per second value by 9.549296586 (1 rad/s = 9.549297 RPM).

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

Both revolutions per minute and radians per second measure frequency. 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). 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).

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).