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How do you determine work done from a torque-angle graph?

Calculate the area under the curve of the graph.

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How do you determine work done from a torque-angle graph?

Calculate the area under the curve of the graph.

How do you determine the sign of work done by torque?

If torque and angular displacement are in the same direction, work is positive. If they are in opposite directions, work is negative.

What is torque?

Torque is a rotational force that can transfer energy to or from an object when applied over an angular displacement.

Define angular displacement.

Angular displacement is the angle through which an object rotates.

What is work in the context of rotational motion?

Work in rotational motion is the energy transferred by a torque acting over an angular displacement.

Define moment of inertia.

Moment of inertia is a measure of an object's resistance to changes in its rotational motion.

What is rotational kinetic energy?

Rotational kinetic energy is the kinetic energy due to the rotation of an object and is given by 12Iω2\frac{1}{2}I\omega^2, where I is the moment of inertia and ω\omega is the angular velocity.

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.