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To convert from radian per second (rad/s) to millihertz (mHz), use the following formula:
Let's convert 5 radian per second (rad/s) to millihertz (mHz).
Using the formula:
Therefore, 5 radian per second (rad/s) is equal to millihertz (mHz).
Here are some quick reference conversions from radian per second (rad/s) to millihertz (mHz):
| radians per second | millihertz |
|---|---|
| 0.000001 rad/s | mHz |
| 0.001 rad/s | mHz |
| 0.1 rad/s | mHz |
| 1 rad/s | mHz |
| 2 rad/s | mHz |
| 3 rad/s | mHz |
| 4 rad/s | mHz |
| 5 rad/s | mHz |
| 6 rad/s | mHz |
| 7 rad/s | mHz |
| 8 rad/s | mHz |
| 9 rad/s | mHz |
| 10 rad/s | mHz |
| 20 rad/s | mHz |
| 30 rad/s | mHz |
| 40 rad/s | mHz |
| 50 rad/s | mHz |
| 100 rad/s | mHz |
| 1000 rad/s | mHz |
| 10000 rad/s | mHz |
For all Frequency converters, choose units using the From/To dropdowns above.
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:
Ever wondered how scientists measure incredibly slow, barely-there movements, like the subtle shifting of continents or the rhythm of a distant star?
They often use a special unit of frequency called the millihertz (mHz).
A millihertz is a unit of frequency equal to one-thousandth of a hertz (0.001 Hz). It's designed to measure things that happen very, very slowly.
While a standard hertz (Hz) measures cycles per second (think sound waves or computer speeds), a millihertz measures events that occur very slowly, taking a very long time to complete a single cycle.
To put it in perspective, something oscillating at one mHz takes 1,000 seconds—or nearly 17 minutes—to complete just one cycle!
This makes the unit perfect for tracking extremely slow phenomena.
Key applications include:
Frequency and time are two sides of the same coin.
In physics, the time it takes for one complete cycle is called the period (T), while frequency (f) refers to the number of cycles that occur per second. They are inversely related: as one increases, the other decreases.
The relationship is expressed as T = 1/f.
To find the period in seconds from a frequency in mHz, you first convert mHz to Hz (1 mHz = 0.001 Hz) and then find its reciprocal.
Formula:
Example:
The mHz range is crucial for one of the most exciting fields in modern astronomy: the search for gravitational waves.
Space-based observatories, such as the Laser Interferometer Space Antenna (LISA), are specifically designed to detect low-frequency gravitational waves in the millihertz band.
These ripples in spacetime are believed to be caused by some of the most massive and dramatic events in the universe, such as:
Detecting signals in the millihertz band offers scientists a unique opportunity to explore cosmic events, allowing them to observe the universe in a completely new way.