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Question
If OP makes 4 revolutions in one second, the angular velocity in radians per second is
Options
π
2 π
4 π
8 π
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Solution
8 π
\[\text{ Angular velocity }= \frac{\text{Distance}}{\text{Time}}\]
\[ = \frac{4 \text{ revolutions}}{1\text{ second}}\]
\[ = \frac{4 \times 2\pi}{1} \left( \because 1\text{ revolution }= 2\pi \text{ radians }\right)\]
\[ = 8\pi \text{ radians per second }\]
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