Question

8. The wheel of a bus has a radius of 50 cm. How many revolutions of the w
will it take to cover a distance of 3 km?​

Answer 1

Given:-

• Radius of the wheel of a bus = 50 cm

To Find:-

• No. of Revolution of the wheel to cover a distance of 3 km.

Formula Used:-

• ${\boxed{\bf{\red{Circumference\:of\: Circle=2\pi r }}}}$

Solution:-

Using Formula,

$\sf :\implies\:Circumference\:of\: Circle=2\pi r$

$\sf :\implies\:Circumference\:of\: Circle=2\times \dfrac{22}{7}\times 50$

$\sf :\implies\:Circumference\:of\: Circle= \dfrac{2,200}{7}\:cm$

$\sf :\implies\:Circumference\:of\: Circle=314.28\:cm$

Now,

$\sf :\implies\:No.\:of\: Revolution= \dfrac{Total\: Distance\: Covered}{Distance\: Covered\: in\: one \:revolution}$

Here,

• $\sf Total \:Distance \:Covered = 3 km = 3,000m = 30,000cm$

• $\sf Distance \: Covered \:in\: one\: revolution = 314.28cm$

Putting values,

$\sf :\implies\:No.\:of\: Revolution= \dfrac{30,000}{314.28}$

$\sf :\implies\:No.\:of\: Revolution= \dfrac{30,00,000}{31,428}$

$\sf :\implies\:No.\:of\: Revolution= 9545.62$

$\sf :\implies\:No.\:of\: Revolution= 9,546 \:(approx.)$

Hence, No. of Revolution of the wheel to cover a distance of 3 km is 9,546.

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