Revolution To Radian Converter

(rev/min to rad/h converter)

Convert Revolution/Minute to Radian/Hour

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Effortlessly Convert Revolutions per Minute to Radians per Hour


(Last Updated On: 2024-05-13)

Discover the ease of converting rotational speeds from rev/min to rad/h with our intuitive Revolution minute to Radian hour Converter, crafted by Newtum. Dive into the simplicity of unit conversion!

What are Revolution and Radian

Definition of Revolution

A Revolution is a unit of angular measurement that represents a complete turn or rotation around a circle. It is equivalent to 360 degrees or 2π radians. When an object makes one full rotation around a central axis, it has moved through one revolution. This term is often used to describe rotational speed in mechanical systems, such as engines or turbines.

Definition of Radian

A Radian is a unit of angular measure in the International System of Units (SI). One radian is the angle created when the arc length of a circle is equal to the circle's radius. Since the circumference of a circle is 2π times the radius, there are 2π radians in a full revolution. Radians provide a direct measure of angle size based on the properties of the circle itself, rather than arbitrary units like degrees.

Revolution to Radian Conversion Table

Revolutions per Minute (rev/min) Radians per Hour (rad/h)
1 rev/min 6.28319 rad/h
2 rev/min 12.56637 rad/h
3 rev/min 18.84956 rad/h
4 rev/min 25.13274 rad/h
5 rev/min 31.41593 rad/h
6 rev/min 37.69911 rad/h
7 rev/min 43.9823 rad/h
8 rev/min 50.26548 rad/h
9 rev/min 56.54867 rad/h
10 rev/min 62.83185 rad/h

Conversion of Revolution to Radian

1 rev/min = 6.28319 rad/h
1 rad/h = 0.159155 rev/min

Example 1:
Convert 3 rev/min to rad/h:
3 rev/min = 3 × 6.28319 rad/h = 18.84956 rad/h

Example 2:
Convert 5 rev/min to rad/h:
5 rev/min = 5 × 6.28319 rad/h = 31.41593 rad/h

History of Revolution and Radian

The history of converting revolutions per minute to radians per hour is rooted in the need to align rotational mechanical systems with mathematical angles. The radian was first introduced as a concept by Roger Cotes in 1714, and it became a standard unit for angular measurements. With advancements in engineering and technology, accurate conversions like rev/min to rad/h became crucial for precision in design and analysis.

How to use Revolution to Radian Converter

Real Life Applications of Revolution to Radian

Explore the practicality of the Revolution minute to Radian hour Converter, a tool that bridges the gap between mechanical rotation and angular mathematics.

Solved Examples rev/min to rad/h

Example 1:
Convert 10 rev/min to rad/h:
10 rev/min = 10 × 6.28319 rad/h = 62.83185 rad/h

Example 2:
Convert 20 rev/min to rad/h:
20 rev/min = 20 × 6.28319 rad/h = 125.6637 rad/h

Frequently Asked Questions

What does rev/min to rad/h conversion mean?
It refers to converting a rotational speed from revolutions per minute to radians per hour.
Why is it important to convert rev/min to rad/h?
This conversion is vital for applications requiring precise angular measurements in alignment with radians.
How can I convert rev/min to rad/h?
Use our online converter tool by entering the rev/min value and clicking convert to get the result in rad/h.