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Angular Velocity and Acceleration - Implications

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• Defining Angular Velocity
• Defining Angular Acceleration
• Relating to Linear Velocity
• Relating to Linear Acceleration

Angular Velocity and Acceleration

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Angular velocity is defined to be the change in angle, divided by the time taken.

The time interval should be taken small enough for any changes in angular velocity to be negligible.

Implications --- Example: --- Question:

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Angular acceleration is defined to be the change in angular velocity, divided by the time taken.

The time interval should be taken small enough for any changes in angular acceleration to be negligible.

Implications --- Example: --- Question:

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When the angular velocity of a rotating object is in radians per second, the linear speed v of a point on the object is given by

Implications ---Otherwise: --- Example: --- Question:

For an object in circular motion, there is always an acceleration component toward the center of the circle.
The acceleration component in the direction of the object's motion is

Implications ---Otherwise: --- Example: --- Question: