the wheel of a car of diameter 80cm each. how much complete Revolution does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour
Answers
Step-by-step explanation:
First step-
Convert 66 kmph into m/s 66 into 1000/3600 = 66 into 5/18= 55/3 m/s.
Now, Distance covered in 10 min = (55/3*10*60)m = 11,000 metre.
Circumference of wheel= (22/7*80/100 )metre. which is distance covered in one Revolution.
No. of complete Revolution = 11000/(22/7*80/100 ) = 4,375.Hope it helps you
Answer:
Step-by-step explanation:
Given :-
Diameter of the wheel of the car = 80 cm.
Radius, r = 80/2 = 40 cm.
Time taken by wheel, t = 10 minutes.
Speed of a car, S = 66 km/h.
To Find :-
Revolution by car.
Solution :-
Let the number of revolution by the wheel be x.
According to the Question
Circumference of wheel = 2πr
= 2π (40)
= 80π cm
Speed of car = 66 km/h
= (66 × 100000/60) cm/min
= 110000 cm/min
Time taken by wheel = 10 minutes
= 110000 × 10
= 1100000 cm
Distance travelled in 1 revolution (circumference) = Distance travelled in 10 minutes
⇒ x × 80π = 1100000
⇒ x = 1100000 × 7/80 × 22
⇒ x = 35000/8
⇒ x = 4375
Hence, each wheel of the car will make 4375 revolutions.