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Material Type: Notes; Professor: Finn; Class: Gen Physics IA Lab; Subject: Physics; University: Siena College; Term: Unknown 1989;
Typology: Study notes
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The angular acceleration is the rate at which the angular velocity changes with time: The instantaneous acceleration: (8-3a) (8-3b) Think-Pair-Share
Every point on a rotating body has an angular velocity ω and a linear velocity v. They are related: (8-4)
Therefore, objects farther from the axis of rotation will move faster.
The equations of motion for constant angular acceleration are the same as those for linear motion, with the substitution of the angular quantities for the linear ones. Think-Pair-Share
To make an object start rotating, a force is needed; the position and direction of the force matter as well. The perpendicular distance from the axis of rotation to the line along which the force acts is called the lever arm.
A longer lever arm is very helpful in rotating objects.
Knowing that , we see that This is for a single point mass; what about an extended object? As the angular acceleration is the same for the whole object, we can write: (8-11) (8-12)