Rev/Day to Rad/S Converter

Value:

From Unit:

To Unit:

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

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

Purpose: Useful in physics and astronomy for converting angular velocity units in applications involving slow rotational motion, such as Earth's rotation.

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/day (Factor: 13750.98710)

Steps:

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

This conversion is critical for:

Astronomy: Converting slow rotational speeds of celestial bodies, like Earth's rotation (1 rev/d).
Physics: Analyzing rotational motion over long time periods.
Engineering: Working with systems that have slow angular velocities.

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

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

Rev/D	Rad/S
1 rev/d	7.2722e-5 rad/s
10 rev/d	7.2722e-4 rad/s
100 rev/d	0.00727 rad/s
1000 rev/d	0.07272 rad/s
10000 rev/d	0.72722 rad/s

5. Using the Converter

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

Input: 1 rev/d
From Unit: rev/d (factor: 13750.9871)
To Unit: rad/s (factor: 1)
Calculation: \( 1 / 13750.9871 \times 1 = 7.27221E-5 \)

Result: 7.2722e-5 rad/s

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

Input: 1 rad/s
From Unit: rad/s (factor: 1)
To Unit: rev/d (factor: 13750.9871)
Calculation: \( 1 / 1 \times 13750.9871 = 13750.9871 \)

Result: 13750.98710 rev/d

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

Q: How many seconds are in a day?
A: There are 86,400 seconds in a day (24 hours × 60 minutes × 60 seconds), which is part of why 1 rev/d = 7.27221E-5 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/d and rad/s, but the principle applies to any angular velocity conversion.