Deg/S to Rad/S Converter

Value:

From Unit:

To Unit:

1. What is the Deg/S to Rad/S Converter?

Definition: This converter transforms angular velocity values between deg/s 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 rapid rotational motion, such as mechanical systems or high-speed rotations.

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)
deg/s (Factor: 57.29578)

Steps:

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

This conversion is critical for:

Engineering: Analyzing high-speed rotations in machinery, such as motors or turbines.
Physics: Studying rotational dynamics in experiments.
Astronomy: Measuring rapid angular velocities of celestial objects.

4. Common Deg/S to Rad/S Conversion Table

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

Deg/S	Rad/S
1 deg/s	0.01745 rad/s
10 deg/s	0.17453 rad/s
100 deg/s	1.74533 rad/s
1000 deg/s	17.45329 rad/s
10000 deg/s	174.53293 rad/s

5. Using the Converter

Example 1: Convert 1 deg/s to rad/s:

Input: 1 deg/s
From Unit: deg/s (factor: 57.2957795)
To Unit: rad/s (factor: 1)
Calculation: $1 / 57.2957795 \times 1 = 0.0174532925$

Result: 0.01745 rad/s

Example 2: Convert 1 rad/s to deg/s:

Input: 1 rad/s
From Unit: rad/s (factor: 1)
To Unit: deg/s (factor: 57.2957795)
Calculation: $1 / 1 \times 57.2957795 = 57.2957795$

Result: 57.29578 deg/s

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 deg/s and rad/s?
A: Different applications use different units; deg/s is common in some engineering contexts, while rad/s is the standard SI unit for angular velocity.

Q: How are degrees and radians related?
A: One degree is approximately 0.0174533 radians, and one radian is approximately 57.2958 degrees.

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