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