Question

if a rear wheel of tractor makes 2000 revolution in covering a distance of 11 km , find the radius of the rear wheel .. give answer fast. tomorrow is exams

Answer 1

The radius of the wheel is 87.5cm.

Answer 2

The radius of the rear wheel is 87.5 cm.

Step-by-step explanation:

Given:

No. Of revolutions = 2000               [given]

Distance travelled = 11 km

= $11\times1000$ m            [1 km=1000 m]

= 11000 m

Distance covered in 1 revolution

= $\frac{\textrm{Distance traveled}}{\textrm{Total revolutions}}$

= $\frac{11\times1000}{2000}$

= 5.5 m

Distance covered in 1 more revolution is nothing but the circumference of the circle.

⇒Circumference of wheel = $2\pi R$

So,

$2\pi R=5.5$

$2\times \frac{22}{7} \times R=5.5$

$R=\frac{5.5\times 7}{2\times22}$

$\frac{38.5}{44}$

$R=0.875$ m

$R=87.5$ cm                  [1m = 100 cm]