Rev/Hr to Rad/S Converter

Value:

From Unit:

To Unit:

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

Definition: This converter transforms angular velocity values between rev/h 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 slow to moderate rotational motion, such as planetary rotations or mechanical systems.

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/hr (Factor: 572.95780)

Steps:

Enter the value to convert.
Select the "From" unit (rev/h or rad/s).
Select the "To" unit (rev/h 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/Hr to Rad/S Conversion

This conversion is critical for:

Astronomy: Converting rotational speeds of celestial bodies, like planetary rotations (e.g., Jupiter rotates at about 24 rev/h).
Physics: Analyzing rotational motion over different time periods.
Engineering: Working with systems that have varying angular velocities.

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

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

Rev/H	Rad/S
1 rev/h	0.00175 rad/s
10 rev/h	0.01745 rad/s
100 rev/h	0.17453 rad/s
1000 rev/h	1.74533 rad/s
10000 rev/h	17.45329 rad/s

5. Using the Converter

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

Input: 1 rev/h
From Unit: rev/h (factor: 572.9577951)
To Unit: rad/s (factor: 1)
Calculation: \( 1 / 572.9577951 \times 1 = 0.0017453293 \)

Result: 0.00175 rad/s

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

Input: 1 rad/s
From Unit: rad/s (factor: 1)
To Unit: rev/h (factor: 572.9577951)
Calculation: \( 1 / 1 \times 572.9577951 = 572.9577951 \)

Result: 572.95780 rev/h

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/h and rad/s?
A: Different applications use different units and time scales; rev/h is useful for slow to moderate rotations (e.g., planetary rotations), while rad/s is the standard SI unit for angular velocity.

Q: How many seconds are in an hour?
A: There are 3600 seconds in an hour (60 minutes × 60 seconds), which is part of why 1 rev/h = 0.0017453293 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/h and rad/s, but the principle applies to any angular velocity conversion.