Question

how many times a wheel of radius 14 cm must rotate to go 176 m

Answer 1

Hey mate.
========

Given ,

Radius of the wheel , r = 14cm

We know,

Circumference of a circle = 2πr

Thus,

Circumference of a wheel = 2 × 22/7 × 14

= 88 cm

Distance travelled by a wheel = 176 m

= ( 176 × 100 ) cm

= 17600 cm

Thus,

No. of times a wheel must rotate = $\frac{distance \: travelled \: by \: the \: car}{circumference} \\ \\ = \frac{17600}{88} \\ \\ = 200 \: (ans)$

Hope it helps !!

Answer 2

Hello dear,


Given :-

Radius of wheel =14cm


Distance = 176m =17600 centi meter

Now the circumference of the wheel =


$2\pi r = 2 \times \frac{22}{7} \times 14 \\ = > 2 \times 22 \times 2 \\ = > 88cm$

Now,

the no. times of rotation of wheels =

$\frac { DISTANCE \: \: TRAVEL \: BY \: THE \: WHEEL }{ CIRCUMFERENCE \: \: OF \: THE \:WHEEL } \\ = > \frac{17600}{88} = 200 \: no. \: of \: revolution$
I hope its help you dear,
Thanks