Rev/Min to Rad/S Converter

Value:

From Unit:

To Unit:

1. What is the Rev/Min to Rad/S Converter?

Definition: This converter transforms angular velocity values between rev/min and rad/s. Angular velocity measures the rate of change of angular displacement.

Purpose: Useful in physics and engineering for converting angular velocity units in applications involving moderate to fast rotational motion, such as engines or turbines.

2. How Does the Converter Work?

The converter uses conversion factors relative to the base unit rad/s:

Input value is converted to rad/s by dividing by the "From" unit’s factor.
The result is converted to the "To" unit by multiplying by the "To" unit’s factor.

Supported units:

rad/s (Factor: 1.00000)
rev/min (Factor: 9.54930)

Steps:

Enter the value to convert.
Select the "From" unit (rev/min or rad/s).
Select the "To" unit (rev/min or rad/s).
Submit to perform the conversion.
Results are formatted to 5 decimal places, with scientific notation for values less than 0.001.

3. Importance of Rev/Min to Rad/S Conversion

This conversion is critical for:

Engineering: Analyzing rotational speeds in machinery, such as motors or turbines (e.g., engine speeds often measured in RPM).
Physics: Studying rotational dynamics in experiments.
Astronomy: Measuring angular velocities of celestial objects.

4. Common Rev/Min to Rad/S Conversion Table

Below is a table of common rev/min values and their equivalent rad/s values:

Rev/Min	Rad/S
1 rev/min	0.10472 rad/s
10 rev/min	1.04720 rad/s
100 rev/min	10.47198 rad/s
1000 rev/min	104.71976 rad/s
10000 rev/min	1047.19755 rad/s

5. Using the Converter

Example 1: Convert 1 rev/min to rad/s:

Input: 1 rev/min
From Unit: rev/min (factor: 9.549297)
To Unit: rad/s (factor: 1)
Calculation: \( 1 / 9.549297 \times 1 = 0.1047197551 \)

Result: 0.10472 rad/s

Example 2: Convert 1 rad/s to rev/min:

Input: 1 rad/s
From Unit: rad/s (factor: 1)
To Unit: rev/min (factor: 9.549297)
Calculation: \( 1 / 1 \times 9.549297 = 9.549297 \)

Result: 9.54930 rev/min

6. Frequently Asked Questions (FAQ)

Q: What is angular velocity?
A: Angular velocity is the rate of change of angular displacement, typically measured in rad/s.

Q: Why convert between rev/min and rad/s?
A: Different applications use different units and time scales; rev/min (or RPM) is common in engineering for rotational speeds, while rad/s is the standard SI unit for angular velocity.

Q: How many seconds are in a minute?
A: There are 60 seconds in a minute, which is part of why 1 rev/min = 0.1047197551 rad/s when accounting for the revolution-to-radian conversion.

Q: Can this converter be used for all angular velocity scenarios?
A: This converter is specific to rev/min and rad/s, but the principle applies to any angular velocity conversion.