Revolution To Radian Converter

(rev/h to rad/min converter)

Convert Revolution per Hour to Radian per Minute

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Effortlessly Convert Revolutions per Hour to Radians per Minute


(Last Updated On: 2024-10-18)

Discover the simplicity of converting rotational speed from revolutions per hour (rev/h) to radians per minute (rad/min) with our intuitive tool, crafted by Newtum. Get ready to transform your measurements with precision!

What are Revolution and Radian

Definition of Revolution

A revolution is a complete turn around a circle or an axis. In terms of movement, one revolution signifies a 360-degree rotation, which is equivalent to two pi radians (∼6.28318530718 radians) in the context of angular measurements. This unit of rotation is commonly used in various fields, such as mechanical engineering and physics, to specify the number of full spins an object makes.

Definition of Radian

A radian is a unit of angular measure used in mathematics and physics. It represents the angle created by taking the radius of a circle and wrapping it along the circle's circumference. One radian is approximately 57.2958 degrees. There are about 6.28318 radians (2 pi) in a complete revolution. The radian is the SI unit for measuring angles, and its use simplifies the process of calculating trigonometric functions and analyzing rotational motion.

Revolution to Radian Conversion Table

Revolutions per Hour (rev/h) Radians per Minute (rad/min)
1 rev/h 0.104720 rad/min
2 rev/h 0.209440 rad/min
3 rev/h 0.314159 rad/min
4 rev/h 0.418879 rad/min
5 rev/h 0.523599 rad/min
6 rev/h 0.628319 rad/min
7 rev/h 0.733038 rad/min
8 rev/h 0.837758 rad/min
9 rev/h 0.942478 rad/min
10 rev/h 1.047198 rad/min

Conversion of Revolution to Radian

1 rev/h = 0.104720 rad/min
1 rad/min = 9.549297 rev/h

Example 1:
Convert 10 rev/h to rad/min:
10 rev/h = 10 × 0.104720 rad/min = 1.04720 rad/min

Example 2:
Convert 5 rev/h to rad/min:
5 rev/h = 5 × 0.104720 rad/min = 0.52360 rad/min

History of Revolution and Radian

A brief history of the Revolution hour to Radian minute Converter traces back to the need for converting rotational speeds in engineering and physics. These conversions are crucial for applications ranging from machinery design to astronomical observations, where precise angular measurements are imperative.

How to use Revolution to Radian Converter

Real Life Applications of Revolution to Radian

Explore the practical uses of the Revolution hour to Radian minute Converter in real-world scenarios and industries.

Solved Examples rev/h to rad/min

Example 1: To convert 15 revolutions per hour (rev/h) to radians per minute (rad/min):
15 rev/h = 15 × 0.104720 rad/min = 1.57080 rad/min

Example 2: To convert 50 revolutions per hour (rev/h) to radians per minute (rad/min):
50 rev/h = 50 × 0.104720 rad/min = 5.23600 rad/min

FAQs: Revolution Hour to Radian Minute Converter

1. What does a Revolution hour to Radian minute Converter do?
It converts rotational speeds from rev/h to rad/min, aiding in various scientific and industrial applications.

2. How accurate is the conversion?
The converter uses a precise formula to ensure accurate conversions between the two units.

3. Can I convert rad/min back to rev/h using this tool?
Yes, the converter is capable of performing reverse calculations as well.