The wheel of a car are if diameter 80cm. Hiw many complete revolutions does each wheel can make in 10minutes when the car is travelling at a speed if 56km per hour?
Answers
Answer:
Distance traveled by the wheel in one revolution is the circumference of the wheel.
The diameter of the wheel of the car = 80 cm.
The radius of the wheel of the car = 40 cm
Distance travelled after 1 revolution = Circumference of the wheel
Circumference of the wheel = 2πr
= 2π (40) = 80π cm
Thus, Distance traveled in 1 revolution = 80π ----------- (1)
Speed of car = 56 km/hour
Converting the speed into cm/min
= (56 × 100000)/60 cm/min
= 93333 cm/min
Distance traveled by car in the duration of 10 minutes
= 93333 × 10 [Since, Distance = Speed × Time]
= 933330 cm --------- (2)
Let the number of revolutions of the wheel of the car be equal to 'n'.
n × Distance traveled in 1 revolution = Distance traveled in 10 minutes
n × 80π = 933330 [From equation (1) and (2)]
n = (933330 × 7)/(80 × 22)
= 3712
Hence, each of the wheels of the car will make 3712 revolutions.