Question

What is the number of rounds that a wheel of diameter $\frac{8}{11}m$ will make in traversing 10 km?

• A. 4375
• B. 2375
• C. 1000
• D. 4000

Answer 1

Answer:

A. 4375

Solution:

$Distance=Circumference\times{No.of Revolution}$

Distance = 10 km

$Diameter =\frac{8}{11}m$

$Radius=\frac{\frac{8}{11}}{2}$

$Radius,r=\frac{4}{11}$

Circumference of Wheel = $2\pi{r}$

$= 2\times{\frac{22}{7}}\times{\frac{4}{11}}$

$=\frac{16}{7}$

16

$10km=\frac{16}{7}\times{No.of Revolution}$

$No.of Revolution=\frac{7}{16}\times{10000}$

$=4375$