Question

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

Answer 1

Since A wheel makes 360 revoulation in 1 minutes.

$\therefore$ Wheel will make $\frac{360}{60}$ revolution in 1 second

That is, 6 revolution in 1 second

Now,

In one revolution the wheel makes ${360}^{\circ }$ angle.

$\therefore$ In 6 revolution the wheel will make ${360}^{\circ }$

$\times$ 6 angles

$={2160}^{\circ }$ $\because 1^{\circ }={(\frac{2160}{180}\times \pi )}^c$

$\therefore {2160}^{\circ }={(\frac{2160}{180}\times \pi )}^c$

$=12\pi$