A wheel makes 13 revolutions to cover a distance of 65 m. Find the radius of the wheel.

Question

asked Mar 25, 2023 89.4k views

1 Answer

Blo · Answer 1 · 2023-03-31T11:11:23+0000

$\qquad\qquad\huge\underline{{\sf Answer}}$

Circumference of the wheel is :

$\qquad \tt \dashrightarrow \:c = 2 \pi r$

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

$\qquad \tt \dashrightarrow \:c = (distance \: covered)/(number \: of \: revolutions)$

Now, equate both the equations ~

$\qquad \tt \dashrightarrow \:2 \pi r = (distance \: covered)/(number \: of \: revolutions)$

$\qquad \tt \dashrightarrow \:2 \pi r = (65)/(13)$

$\qquad \tt \dashrightarrow \:2 \pi r = 5$

$\qquad \tt \dashrightarrow \:r = (5)/(2 \pi)$

$\qquad \tt \dashrightarrow \:r = (5)/(3.14 * 2)$

$\qquad \tt \dashrightarrow \:r = (5)/(6.28)$

$\qquad \tt \dashrightarrow \:r \approx0.8 \: m$

$\qquad \tt \dashrightarrow \:r \approx80 \: cm$

[ To the hundredth place : 0.796 m ]