Question

The diameter of the wheel of a car is $56cm$. Calculate :
The number of times the wheel will rotate in travelling through a distance of $1.056km$.

Answer 1

We have,

Diameter of car wheel $=56cm.$

$2r=56cm.$

$r=28cm.$

$r=\frac{28}{100}m.=0.28m.$

$r=\frac{0.28}{1000}=0.00028km.$

Now,

Circumference of the wheel in kms $=2\times \pi \times r$

$circumference=2\times 3.14\times 0.00028$

$circumference=0.0017584km$

Distance to the cover$=1.056km.$

Now, number of revolutions$=\frac{1.056}{0.0017584}=600.40$

$\approx 600$

Hence, this is the answer.