Convert Radians per second (rad/s) to Revolutions per minute (RPM)

Enter a value below to convert Radians per second (rad/s) to Revolutions per minute (RPM).

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Conversion:

1 Radians per second (rad/s) = 9.5492965855 Revolutions per minute (RPM)

How to Convert Radians per second (rad/s) to Revolutions per minute (RPM)

1 radps = 9.5492965855 rpm

1 rpm = 0.10471975512 radps

Example: convert 15 Radians per second (rad/s) to Revolutions per minute (RPM):

25 radps = 238.73241464 rpm

Radians per second (rad/s) to Revolutions per minute (RPM) Conversion Table

Radians per second (rad/s)Revolutions per minute (RPM)
0.01 radps0.095492965855 rpm
0.1 radps0.95492965855 rpm
1 radps9.5492965855 rpm
2 radps19.098593171 rpm
3 radps28.647889757 rpm
5 radps47.746482928 rpm
10 radps95.492965855 rpm
20 radps190.98593171 rpm
50 radps477.46482928 rpm
100 radps954.92965855 rpm
1000 radps9549.2965855 rpm

Radians per second (rad/s)

Definition

Radians per second (rad/s) is the SI unit of angular velocity, measuring the rate of rotation in radians. One full rotation equals 2π rad/s, which corresponds to approximately 6.2832 rad/s.

History

Radians per second emerged from the mathematical definition of the radian in the 18th century. It became the preferred unit in physics and engineering because it simplifies formulas involving rotational dynamics and wave mechanics.

Current use

Radians per second is the standard angular velocity unit in physics, mechanical engineering, control systems, and signal processing. It is used in motor specifications, oscillation analysis, and rotational dynamics calculations.

Revolutions per minute (RPM)

Definition

Revolutions per minute (RPM) is a unit of rotational frequency measuring the number of complete turns around a fixed axis in one minute. 1 RPM equals 1/60 Hz.

History

RPM has been used since the Industrial Revolution to describe the speed of rotating machinery such as steam engines, turbines, and motors. It became the standard measure for engine and motor performance.

Current use

RPM is universally used in automotive engineering (engine speed), manufacturing (lathe and drill speeds), hard drive specifications, centrifuge operations, and any application involving rotational motion.