Question

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

Answer 1

Step-by-step explanation:

Given

That a wheel makes 360 revolutions in 1 minute.

i.e a wheel makes 360 revolutions in 60 seconds.

∴ In 1 second, no. of revolutions

$= \frac{360}{60} = 6$

In 1 revolution, the angle made by the wheel = 360 ∘

∴ Angle made by the wheel in 6 revolutions = 6×360∘

= 2160°

Radian made in 6 revolutions =

$2160 \times \ \frac{\pi}{180}$

= 12π

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