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Deg/Hr to Rad/S Converter

Deg/H to Rad/S Formula

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

Definition: This converter transforms angular velocity values between deg/hr 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 to moderate rotational motion, such as planetary 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/h (Factor: 206264.80620)

Steps:

  • Enter the value to convert.
  • Select the "From" unit (deg/h or rad/s).
  • Select the "To" unit (deg/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 Deg/H 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 360 deg/h).
  • Physics: Analyzing rotational motion over different time periods.
  • Engineering: Working with systems that have varying angular velocities.

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

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

Deg/H Rad/S
1 deg/h 4.8481e-6 rad/s
10 deg/h 4.8481e-5 rad/s
100 deg/h 0.00048 rad/s
1000 deg/h 0.00485 rad/s
10000 deg/h 0.04848 rad/s

5. Using the Converter

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

  • Input: 1 deg/h
  • From Unit: deg/h (factor: 206264.8062)
  • To Unit: rad/s (factor: 1)
  • Calculation: \( 1 / 206264.8062 \times 1 = 4.8481368110954E-6 \)

Result: 4.8481e-6 rad/s

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

  • Input: 1 rad/s
  • From Unit: rad/s (factor: 1)
  • To Unit: deg/h (factor: 206264.8062)
  • Calculation: \( 1 / 1 \times 206264.8062 = 206264.8062 \)

Result: 2.0626e+5 deg/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 deg/h and rad/s?
A: Different applications use different units and time scales; deg/h is useful for slow rotations (e.g., planetary rotations), while rad/s is standard for faster motions.

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/h and rad/s, but the principle applies to any angular velocity conversion.

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