Radian To Revolution Converter

(rad/min to rev/h converter)

Convert Radian/Minute to Revolution/Hour

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Effortlessly Convert Radians per Minute to Revolutions per Hour


(Last Updated On: 2024-05-13)

Discover the precision of converting rad/min to rev/h with our Radian minute to Revolution hour Converter. Curated by Newtum, delve into easy conversions that spark curiosity.

What are Radian and Revolution

Definition of Radian

A radian is a unit of angular measure used in mathematics and engineering. One radian is the angle made at the center of a circle by an arc whose length is equal to the radius of the circle. Essentially, it equates to about 57.2958 degrees. When an entire circle is traversed, the angle covered is 2π radians, which is the basis for calculating angles and rotations in various applications.

Definition of Revolution

A revolution refers to a complete turn around a central point, creating a full circle. In terms of motion, one revolution quantifies a 360-degree rotation. It signifies a complete cycle or turn, such as the Earth revolving around the sun or a wheel spinning on its axis. When used in mechanical systems, revolutions can be counted to determine the number of full cycles completed, which is crucial in rotational motion analysis.

Radian to Revolution Conversion Table

Radian per Minute (rad/min) Revolution per Hour (rev/h)
0.1 rad/min 0.9549 rev/h
0.2 rad/min 1.9098 rev/h
0.3 rad/min 2.8647 rev/h
0.4 rad/min 3.8197 rev/h
0.5 rad/min 4.7746 rev/h
0.6 rad/min 5.7295 rev/h
0.7 rad/min 6.6845 rev/h
0.8 rad/min 7.6394 rev/h
0.9 rad/min 8.5943 rev/h
1 rad/min 9.5493 rev/h

Conversion of Radian to Revolution

1 rad/min = 9.5493 rev/h
1 rev/h = 0.1047 rad/min

Example 1:
Convert 2 rad/min to rev/h:
2 rad/min = 2 × 9.5493 rev/h = 19.0986 rev/h

Example 2:
Convert 5 rad/min to rev/h:
5 rad/min = 5 × 9.5493 rev/h = 47.7465 rev/h

History of Radian and Revolution

The concept of converting between Radian per minute to Revolution per hour is rooted in the need to translate rotational speeds from angular to linear contexts. This mathematical tool has developed alongside technological advancements, enabling precise adjustments in various engineering and physics applications.

How to use Radian to Revolution Converter

Real Life Applications of Radian to Revolution

Explore the practical uses of our Radian minute to Revolution hour Converter, an essential tool in various scientific and mechanical fields.

Solved Examples rad/min to rev/h

Example 1:
Convert 3 rad/min to rev/h:
3 rad/min = 3 × 9.5493 rev/h = 28.6479 rev/h

Example 2:
Convert 7 rad/min to rev/h:
7 rad/min = 7 × 9.5493 rev/h = 66.8451 rev/h

Frequently Asked Questions

1. What does rad/min to rev/h conversion mean?
This conversion translates angular velocity measured in radians per minute to linear velocity in revolutions per hour.

2. Why is rad/min to rev/h conversion important?
It's essential for accurately measuring and comparing rotational speeds in different units, useful in engineering and physics.

3. How accurate is the Radian minute to Revolution hour Converter?
Our converter provides precise conversions based on standard unit relationships, ensuring high accuracy for your calculations.