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A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

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प्रश्न

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

योग
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उत्तर

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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अध्याय 3: Trigonometric Functions - EXERCISE 3.1 [पृष्ठ ४९]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 3 Trigonometric Functions
EXERCISE 3.1 | Q 3. | पृष्ठ ४९

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