Angular Displacement – 2011 A-level question

A disc rotates clockwise about its centre O until point P has moved to point Q, such that OP equals the length of the straight line PQ. What is the angular displacement of OQ relative to OP?

A. $\frac{π}{3}$ rad

B. $\frac{2 π}{3}$ rad

C. $\frac{4 π}{3}$ rad

D. $\frac{5 π}{3}$ rad

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Answer: D.

The triangle OPQ is equilateral, so the angle $∠ Q O P$ = 60° or $\frac{2 π}{6} = \frac{π}{3}$ rad.

As OQ is displaced clockwise from OP, angular displacement $θ = 2 π - \frac{π}{3} = \frac{5 π}{3}$ rad.

Physics Lens

Angular Displacement – 2011 A-level question

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Answer: D.

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Physics Lens

Angular Displacement – 2011 A-level question

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Answer: D.

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