HSC Together Year 12 Physics: Rotational Power, Work & Energy

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# Rotational Power, Work & Energy

This post is part of the HSC Physics Syllabus Module 5: Advanced Mechanics.

In this post, we will investigate the relationship between the total energy and work done on an object executing uniform circular motion. To do this, we also need to know a little bit about torque.

Torque follows the formula:

\tau = r F
• F is force
• tau is torque
• r is the radius from the fulcrum

Rotational power is given by the following:

P= \tau \omega
• tau is torque
• omega is the rotational velocity
• P is power

Rotational work is given by the following:

W= \tau \theta
• tau is torque
• theta is the angular displacement
• W is work

Rotational energy is given by the following:

E= \frac{1}{2} I \omega
• tau is torque
• I is the moment of inertia
• E is work

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