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The formula for converting radians per hour to radians per second is: rad/s = rad/h × 0.000277777777777778. To calculate the radians per hour value in radians per second first substitute the radians per hour value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 radians per hour in radians per second we follow these steps:

In other words, 1 radians per hour is equal to 0.000277777777777778 radians per second.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 radians per hour to radians per second is:

2. Substitute the required value. In this case we substitute 6 for rad/h so the formula becomes: rad/s = 6 × 0.000277777777777778
3. Calculate the result using the provided values. In our example the result is: 6 × 0.000277777777777778 = 0.001666666666666668 rad/s

In summary, 6 radians per hour is equal to 0.001666666666666668 radians per second.

In order to convert the other way around i.e. radians per second to radians per hour, you would use the following formula: rad/h = rad/s × 3600. To convert radians per second to radians per hour first substitute the radians per second value into the above formula, and then execute the calculation. If we wanted to calculate 1 radians per second in radians per hour we follow these steps:

Or in other words, 1 radians per second is equal to 3600 radians per hour.

## Conversion Unit Definitions

### What is a Radians Per Hour?

Radians per hour (rad/hr) is a unit of angular velocity measurement. It represents the rate at which an object rotates or undergoes angular displacement in radians per hour. Radians per hour is used to quantify the rotational speed of objects or systems over even longer time intervals.
To provide a detailed example of radians per hour, let's consider a rotating object, such as a slow-moving clock hand. If the clock hand completes an angular displacement of π radians in one hour, then its angular velocity would be π rad/hr. This means that the clock hand rotates around its axis at a rate of π radians per hour.
While radians per hour is not as commonly used as radians per second or radians per minute, it can find applications in certain scenarios that involve very slow rotational speeds or extended observation periods.
In some scientific or research contexts, where angular displacement is tracked over significantly long durations, radians per hour may be relevant for monitoring and analyzing rotational dynamics. For example, in geophysics, the rotation of tectonic plates or the motion of Earth's polar axis can be expressed in terms of radians per hour, providing a measure of their gradual movement over time.
Radians per hour can also be used in specialized engineering applications that involve extremely slow rotational processes, such as in the field of precision optics or slow-motion mechanisms. It allows for precise control and measurement of angular displacement over extended periods.
It's important to note that radians per hour can be converted to radians per minute by dividing the value by 60, and further to radians per second by dividing by 3600. For example, π rad/hr is equivalent to approximately 0.052 rad/min (π/60) or 0.000014 rad/s (π/3600).
In summary, radians per hour (rad/hr) is a unit of angular velocity measurement, representing the rate at which an object rotates or undergoes angular displacement in radians per hour. While not as commonly used as other angular velocity units, radians per hour can find applications in scenarios that involve very slow rotational speeds or extended observation periods. It provides a measure of angular movement over significant time intervals and can be relevant in scientific, geophysical, and specialized engineering contexts.

### What is a Radians Per Second?

Radians per second (rad/s) is a unit of angular velocity measurement. It represents the rate at which an object rotates or undergoes angular displacement in radians per unit of time. Radians per second is a fundamental unit used in physics and engineering to describe rotational motion.
To provide a detailed example of radians per second, let's consider a rotating object, such as a spinning wheel. If the wheel completes an angular displacement of 2π radians in one second, then its angular velocity would be 2π rad/s. This means that the wheel rotates around its axis at a rate of 2π radians per second.
The concept of radians per second finds wide application in various fields. In physics, it is used to describe the angular velocity of objects undergoing rotational motion, such as rotating gears, pendulums, or celestial bodies. Angular velocity is a fundamental parameter for understanding rotational dynamics and can be used to calculate other quantities such as rotational speed or linear velocity at different points on a rotating object.
In engineering, radians per second are crucial for analyzing the behavior of rotating machinery, such as turbines, motors, or flywheels. Angular velocity measurements are used to determine the speed, power output, and efficiency of these systems. By measuring the rate of change of angular displacement, engineers can assess the performance and stability of rotating components.
It's important to note that radians per second can be converted to other units of angular velocity, such as degrees per second or revolutions per minute, by using conversion factors based on the relationship between radians and other angular units.
In summary, radians per second (rad/s) is a unit of angular velocity measurement, representing the rate at which an object rotates or undergoes angular displacement in radians per unit of time. It is widely used in physics and engineering to describe rotational motion and is fundamental for analyzing the behavior and performance of rotating objects and systems.

Below is a lookup table showing common radians per hour to radians per second conversion values.