89.4k views
13 votes
A wheel makes 13 revolutions to cover a distance of 65 m. Find the radius of the wheel.

User Aviemet
by
8.0k points

1 Answer

7 votes


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

Circumference of the wheel is :


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

  • c = circumference

  • r = radius

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

  • radius of wheel is 80 cm

[ To the hundredth place : 0.796 m ]

User Blo
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories