Question

What is the number of rounds that a wheel of diameter $\frac{5}{11}m will make in traversing 7 km?

• A. 3300
• B. 3500
• C. 4400
• D. 4900

Answer 1

Answer:

D. 4900

Solution:

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

Distance = 7 km

$Diameter =\frac{5}{11}m$

$Radius=\frac{\frac{5}{11}}{2}$

$Radius,r=\frac{5}{22}$

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

$= 2\times{\frac{22}{7}}\times{\frac{5}{22}}$

$=\frac{10}{7}$

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

$No.of Revolution=\frac{7}{10}\times{1000}$

$=4900$