Question 71

The wheel of a car has 210 cm diameter. How many revolutions per minute must the wheel make so that the speed of the car is kept at 120 km/h ?

Solution

Speed of the car = 120 km/h = $$120\times\frac{1000\times100}{60}$$ cm/min = 2,00,000 cm/min

$$\Rightarrow$$ Car has to travel 2,00,000 cm in 1 minute

Diameter of the wheel of the car (d) = 210 cm

Perimeter of the wheel of the car = $$\pi\ d$$ = $$\frac{22}{7}\times210$$ = 660 cm

For one revolution, distance travelled by the car = 660 cm

Number of revolutions made by the car to cover 2,00,000 cm = $$\frac{200000}{660}$$ = 303.03

$$\therefore\ $$Number of revolutions made in a minute = 303.03

Hence, the correct answer is Option D


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