Question

if a rear wheell of tractor makes 2000 revolution on making a distance of 11km then find the radius of the rear wheel​

Answer 1

Answer:

Radius of the rear wheel is 8.75 m.

Step-by-step explanation:

Given :

Distance covered by a rear wheel in 200 revolution = 11 km.= 11 ×1000= 11000m,

Distance covered by wheel in 1 revolution = total distance / no . of revolution

                                                                     = 11000 / 200= 55 m.

As we know that,

Distance covered by wheel in 1 revolution = circumference of wheel which is in the shape of a circle

So, circumference of wheel = 55 m.

And ,

Circumference of wheel = 2$\pi$r              ( where r is the radius of the wheel)

                      55 = 2 × (22/7 ) × r       (where $\pi$ = 22/7)

                  (55 × 7) / (2 × 22) = r

                 (5 × 7)/ (2× 2)=r

                       r = 35 / 4 = 8.75 m.