Question

The wheel of a bullock cart has a diameter of 1.4.m. how many rotation will the wheel complete as the card travels 1.1cm.

Answer ?

Answer 1

Answer:

Diameter of cart = 1.4m

Circumference = πd = 22/7 × 1.4

= 22 × 0.2

= 4.4 metres

1 rotation of the wheel travels 4.4 metres.

Total distance to travel =1.1km =1100m

No. of rotations required = 1100/4.4 = 11000/44

= 250

Answer 2

Question:

The wheel of a bullock cart has a diameter of 1.4 metre. How many rotations will the wheel complete as the cart travel 1.1 km?

Solution:

Diameter of wheel = 1.4m

Radius of wheel = 0.7m

$\boxed{\sf{Perimeter\:of\: Circle=2 \pi r}}$

$\implies 2 \times \frac{22}{7} \times 0.7 \\ \implies2 \times 22 \times 0.1 \\ \implies4.4m$

Distance covered = 1.1 km = 1100m

Let the number of rotations be x.

$\boxed{\sf{Number\:of\: rotations= \frac{distance \: covered}{perimeter} }}$

$x = \frac{1100}{4.4} \\ x = \frac{11000}{44}$

$\boxed{\sf{x=250}}$

Therefore,the wheel completes 250 rotations as the cart travels 1.1 km.

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