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Question
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
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Solution
Number of revolutions made by the wheel in 1 minute = 360
∴ Number of revolutions made by the wheel in 1 second =`360/60 = 6`
In one complete revolution, the wheel turns an angle of 2π radian.
∵ An angle of 360 × 2π radians is formed in 1 minute, i.e. 60 seconds.
∴ Angle made by the wheel in 1 second = `(360×2pi)/60`
= 12π radians.
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