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To convert from radian per second (rad/s) to millihertz (mHz), use the following formula:
To convert from radian per second (rad/s) to hertz (Hz), use the following formula:
To convert from radian per second (rad/s) to kilohertz (kHz), use the following formula:
To convert from radian per second (rad/s) to megahertz (MHz), use the following formula:
To convert from radian per second (rad/s) to gigahertz (GHz), use the following formula:
To convert from radian per second (rad/s) to terahertz (THz), use the following formula:
To convert from radian per second (rad/s) to rotation per minute (rpm), use the following formula:
To convert from radian per second (rad/s) to degree per second (deg/s), use the following formula:
A radian per second (rad/s) is the standard unit for measuring rotational speed.
In simple terms, it tells you how fast something is spinning. It's a fundamental part of the International System of Units (SI).
This unit is crucial in physics and engineering for describing any type of circular motion.
A radian per second is the unit for angular velocity (ω).
Angular velocity measures how quickly an object rotates or revolves around a central point.
Imagine a wheel spinning. If it's rotating at 2π rad/s, it means it completes one full circle (which is 2π radians) every single second.
This measurement is essential for accurately describing the motion of anything that rotates, from a tiny gear to a massive planet.
In many everyday applications, like for car engines or industrial machinery, you'll see rotational speed measured in rotations per minute (RPM).
Converting from rad/s to RPM is straightforward with a simple formula.
Because one complete rotation equals 2π radians and there are 60 seconds in a minute, you can use this equation:
For a quick calculation, you can simplify this to:
This is a vital calculation for engineers, mechanics, and anyone working with rotational machinery.
It's easy to get these two units mixed up, but they measure slightly different things:
Radian per second (rad/s) measures angular frequency—the rate of rotation in radians.
Hertz (Hz) measures ordinary frequency—the number of complete cycles (or revolutions) per second.
The two concepts are closely related. An object with an angular frequency of 2π rad/s completes one full circle every second, which is equivalent to 1 Hz.
The formula connecting them is: ω = 2πf
Where: