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The relationship between the linear acceleration (a) and angular acceleration (α) is a = α * r

Linear acceleration is defined as the uniform acceleration of a moving object along a straight path.

  • Acceleration can be positive or negative depending on whether the speed is increasing or decreasing.
  • An object undergoing linear acceleration does not change its direction, but it can change its speed.

Angular acceleration is defined as the rate of change of angular velocity over time.

  • It is usually expressed in radians per second (rad/sec).
  • Angular acceleration is pseudoscalar, the sign of the angular acceleration is considered positive if the angular velocity increases counter clockwise and is considered negative if the angular velocity increases clockwise.

The higher the magnitude of the angular acceleration, the higher the magnitude of the linear acceleration will be.

For example, greater angular acceleration of the wheels of a car means greater acceleration of the car. Also for a specific value of angular acceleration, the smaller the car's wheels, the smaller its linear acceleration will be.

To know more about linear acceleration,

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