Revolution To Radian Converter

(rev to rad/hr converter)

Convert Revolution/Day to Radian/Hour

switch

Effortlessly Convert Revolutions to Radians per Hour


(Last Updated On: 2024-05-13)

This tool, crafted by Newtum, transforms revolutions per day into radians per hour (rev to rad/hr), sparking curiosity with its precision and simplicity.

What are Revolution and Radian

Definition of Revolution

A revolution is a complete turn around a circle, typically used to measure rotations or cycles of an object. It is equivalent to 360 degrees or 2π radians. In various contexts, such as astronomy, engineering, and mechanics, the term 'revolution' quantifies the number of full cycles completed by a rotating object.

Definition of Radian

A radian is a unit of angular measure used in mathematics and physics. It is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. One radian equals approximately 57.2958 degrees. The radian is the standard unit of angular measure for trigonometric functions.

Revolution to Radian Conversion Table

Revolutions/Day Radians/Hour
1 rev/day 0.261799 rad/hr
2 rev/day 0.523599 rad/hr
3 rev/day 0.785398 rad/hr
4 rev/day 1.047198 rad/hr
5 rev/day 1.308997 rad/hr
6 rev/day 1.570796 rad/hr
7 rev/day 1.832596 rad/hr
8 rev/day 2.094395 rad/hr
9 rev/day 2.356194 rad/hr
10 rev/day 2.617993 rad/hr

Conversion of Revolution to Radian

1 rev/day = 0.261799 rad/hr
1 rad/hr = 3.8197186 rev/day

Example 1:
convert 2 rev/day to rad/hr:
2 rev/day = 2 × 0.261799 rad/hr = 0.523599 rad/hr

Example 2:
convert 5 rev/day to rad/hr:
5 rev/day = 5 × 0.261799 rad/hr = 1.308997 rad/hr

History of Revolution and Radian

The concept of converting revolutions per day to radians per hour is rooted in the need to standardize rotational measurements across various scientific and engineering disciplines. This converter aids in bridging the gap between different unit systems, facilitating easier calculations and comprehension.

How to use Revolution to Radian Converter

Real Life Applications of Revolution to Radian

Discover how the Revolution day to Radian hour Converter is applied in real-world scenarios to enhance precision and efficiency.

Solved Examples rev to rad/hr

Example 1: To convert 3 revolutions per day to radians per hour: 3 rev/day × 0.261799 rad/hr = 0.785398 rad/hr.

Example 2: To convert 7 revolutions per day to radians per hour: 7 rev/day × 0.261799 rad/hr = 1.832596 rad/hr.

FAQs - Revolution day to Radian hour Converter

What is the purpose of this converter?

This tool is designed to convert units of revolution per day into radians per hour for various applications in science and engineering.

How accurate is the conversion?

The converter uses precise mathematical formulas to ensure that the results are accurate and reliable.

Can I convert radians per hour back to revolutions per day?

Yes, the converter also supports the inverse conversion from radians per hour to revolutions per day.