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Compare positive and negative work done by torque.

Positive work: Energy transferred into the system, speeds it up. Negative work: Energy transferred out of the system, slows it down.

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Compare positive and negative work done by torque.
Positive work: Energy transferred into the system, speeds it up. Negative work: Energy transferred out of the system, slows it down.
What is torque?
The rotational equivalent of force; what causes an object to rotate.
What is angular displacement?
How much an object has rotated, measured in radians.
Define work done by a torque.
The energy transferred when a torque acts over an angular displacement.
What are the units for torque?
Newton-meters (Nโ‹…m).
What are the units for angular displacement?
Radians (rad).
What are the key differences between work in linear motion and work in rotational motion?
Linear motion: Work is done by a force over a linear displacement. Rotational motion: Work is done by a torque over an angular displacement. The equations are $W = Fd$ and $W = \tau \Delta \theta$ respectively.
Compare and contrast torque and force.
Force: A linear push or pull. Torque: A rotational force that causes an object to rotate. Both can do work.
Differentiate between angular displacement and linear displacement.
Angular displacement: The angle through which an object rotates. Linear displacement: The distance an object moves in a straight line.
How does moment of inertia relate to mass?
Mass: Resistance to linear acceleration. Moment of inertia: Resistance to angular acceleration. Moment of inertia depends on the mass distribution relative to the axis of rotation.
What is the difference between angular velocity and angular acceleration?
Angular velocity: The rate of change of angular displacement. Angular acceleration: The rate of change of angular velocity.