An electric fan rotates through every second.

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

An electric fan rotates through 300∘300^{\circ} every second. (i) Determine its angular speed in radians per second. (ii) Calculate the total angular displacement, in radians, after 7.5 7.5\,s. (iii) Find how many complete revolutions the fan makes in this time and state the remaining angular displacement (in radians) after the last complete revolution.

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