Home Back

Angular Acceleration Conversion Calculator

Angular Acceleration Formula

1. What is the Angular Acceleration Unit Converter?

Definition: This converter transforms angular acceleration values between various units. Angular acceleration measures the rate of change of angular velocity with respect to time, typically in radians per square second (rad/s²).

Purpose: Useful in physics, mechanics, and engineering for converting angular acceleration units in applications like rotational motion, torque calculations, and machinery design.

2. How Does the Converter Work?

The converter uses conversion factors relative to an arbitrary base (consistent with provided scaling):

  • Input value is converted to the base 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:
  • radian/square second (Factor: 100.00000)
  • radian/square minute (Factor: 360000.00000)
  • revolution/square second (Factor: 15.91549)
  • revolution/minute/second (Factor: 954.92966)
  • revolution/square minute (Factor: 57295.77952)

Steps:

  • Enter the value to convert.
  • Select the "From" unit (the unit of the input value).
  • Select the "To" unit (the desired output unit).
  • Submit to perform the conversion.
  • Results are formatted to 5 decimal places, with scientific notation for values less than 0.001.

3. Importance of Angular Acceleration Conversion

Angular acceleration conversion is critical for:

  • Physics: Analyzing rotational dynamics and angular kinematics.
  • Engineering: Designing motors, gears, and rotating machinery.
  • Mechanics: Calculating torque and moment of inertia in systems.

4. Using the Converter

Example 1: Convert 1 radian/square second to radian/square minute:

  • Input: 1
  • From Unit: radian/square second (factor: 100)
  • To Unit: radian/square minute (factor: 360000)
  • Calculation: \( 1 / 100 \times 360000 = 3600 \)

Result: 3600 radian/square minute

Example 2: Convert 1 revolution/square second to radian/square second:

  • Input: 1
  • From Unit: revolution/square second (factor: 15.91549431)
  • To Unit: radian/square second (factor: 100)
  • Calculation: \( 1 / 15.91549431 \times 100 \approx 6.28319 \)

Result: 6.28319 radian/square second

5. Frequently Asked Questions (FAQ)

Q: What is angular acceleration?
A: Angular acceleration is the rate at which angular velocity changes over time, measured in units like radians per square second (rad/s²).

Q: Why are there different units for angular acceleration?
A: Different units like radians or revolutions are used for convenience in theoretical physics versus practical engineering applications.

Q: How are radian/square second and revolution/square second related?
A: One revolution/square second is equal to 2π radians/square second (approximately 6.28319 rad/s²).

Q: Can this converter be used for all angular acceleration scenarios?
A: Yes, it converts units of angular acceleration, applicable to any scenario involving rotational acceleration measurements.

Angular Acceleration Unit Converter@ - All Rights Reserved 2025