Question

the wheel of a bullock cart has a diameter of 1.4 M how many rotations will the will complete as the car travels 1.1 km

Answer 1

radius = 1.4 m

circumference =

$2\pi \: r$

$= 2 \times \frac{22}{7} \times 1.4$

$= 2 \times 22 \times 0.2$

$= 8.8m$

Circumference =8.8 m

Distance in one rotation= 8.8 m

Total distance travelled = 1.1km

=1100 m

Number of rotations in 1100 m =

$\frac{distance}{circumfrence}$

$= \frac{1100}{8.8}$

$= 125$

Hence the wheels have made 125 revolutions to cross 1.1km

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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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