Question

एक पहिए का व्यास 105 सेमी है 330 मीटर की दूरी तय करने में चकरो संख्या बताओ बताओ​

Answer 1

Given:

एक पहिए का व्यास 105 सेमी है 330 मीटर की दूरी तय करने में चकरो संख्या बताओ बताओ​|

The diameter of a wheel is 105 cm. Find the number of revolutions it takes to cover a distance of 330 m?

To find:

The number of revolutions it takes to cover a distance of 330 m

Solution:

The diameter of the wheel, d = 105 cm = 1.05 m

∴ The radius of the wheel, r = $\frac{d}{2} = \frac{1.05}{2} = 0.525\:m$

We know,

Circumference of a circle = Distance covered in 1 revolution

i.e., $2\pi r$ = Distance covered in 1 revolution

$\implies Distance \:covered\: in\: 1\: revolution = 2 \times \frac{22}{7} \times 0.525$

$\implies Distance \:covered\: in\: 1\: revolution = 3.3 \:m$

Now,

For covering a distance of 3.3 m, the wheel takes 1 revolution

So, for covering a distance of 1 m, the wheel will take =  $\frac{1}{3.3}$ revolution

∴ For covering a distance of 330 m, the wheel will take,

= $\frac{1}{3.3}\times 330$

$= \bold{100 \:revolutions}$

Thus, the number of revolutions the wheel takes to cover a distance of 330 m is → 100 revolutions.

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