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# A car has wheels which are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour ? - CBSE Class 10 - Mathematics

ConceptProblems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle

#### Question

A car has wheels which are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour ?

#### Solution

We have,

Speed of the car = 66 km/hr

∴ Distance travelled by the car in 1 hour = 66 km

⇒ Distance travelled by the car in 10 min.

= \frac { 66 }{ 60 } × 10 km = 11 km = 11 × 1000 × 100 cm

We have,

Radius of car wheels = 40 cm

∴ Circumference of the wheels

= 2 × \frac { 22 }{ 7 } × 40 cm

⇒ Distance travelled by the car when its wheels take one complete revolution

= 2 × \frac { 22 }{ 7 } × 40 cm

∴ Number of revolutions made by the wheels in 10 minutes

=

=\frac{11\times 100\times 100}{2\times \frac{22}{7}\times40}=\frac{11\times 1000\times 100\times 7}{2\times 22\times 40}=4375

Hence, each wheel makes 4375 revolutions in 10 minutes.

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Solution A car has wheels which are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour ? Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.
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