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Rotational Motion
This model applies to a rigid body which is executing pure rotation confined to the xy plane about the origin.
Problems in rotational motion often feature an object which is constrained to rotate about some axle or pivot point. Additionally, the motion of any rigid body which can be treated using the Angular Momentum and External Torque about a Single Axis model can be described as translation of the center of mass plus pure rotation about the center of mass.
Model
This model applied to a single rigid body or to a single point particle constrained to move in a circular path.
The system will be subject to a position-dependent centripetal acceleration, and may also be subject to an angular (or equivalently, tangential) acceleration.
Relationships between Angular and Tangential Quantities
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Centripetal Acceleration
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Magnitude of Total Acceleration
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- Angular position versus time graph.
- Angular velocity versus time graph.
Relevant Examples
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