Question

Question 16

How many times must a wheel of radius 28 cm rotate to go 352 m?
$(Take\pi =\frac{22}{7})$

Answer 1

Let wheel be rotated n times of its circumference
Radius of wheel = 28 cm and total distance = 352 m = 35200 cm
$\therefore$ Distance covered by wheel = n $\times$ circumference of wheel
$\Rightarrow$ $35200=n\times 2\pi r$
$\Rightarrow$ $35200=n\times 2\times \frac{22}{7}\times 28$
$\Rightarrow$ $n=\frac{35200\times 7}{2\times 22\times 28}$
$\Rightarrow$ n = 200 Revolutions
Thus, the wheel must rotate 200 times to go 352 m.