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

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Question

The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour? [Use Π = 22/7]

Solution

Diameter of the wheel of the car = 80 cm

Radius (r) of the wheel of the car = 40 cm

Circumference of wheel = 2πr

= 2π (40) = 80π cm

Speed of car = 66 km/hour

 = (66x100000)/60 cm/min

= 110000 cm/min

Distance travelled by the car in 10 minutes

= 110000 × 10 = 1100000 cm

Let the number of revolutions of the wheel of the car be n.

× Distance travelled in 1 revolution (i.e., circumference)

= Distance travelled in 10 minutes

n x 80Π = 1100000

`n = (1100000xx7)/(80xx22)`

= (35000)/8 = 4375

Therefore, each wheel of the car will make 4375 revolutions.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 12: Areas Related to Circles
Ex. 12.10 | Q: 4 | Page no. 226
Solution The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour? Concept: Perimeter and Area of a Circle.
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