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Given diameter of the wheel = 80
So radius of the wheel r = 80/2 = 40
Now circumference of the wheel = 2πr
=2π*40
= 80π
Now Speed of the car = 66 km/hour
= (66*1000 *100)/60 (1 km = 1000m and 1 m = 100 cm, 1 hour = 60 minutes)
= (66*1000 *10)/6 (100 and 60 is divided by 10)
= 11*10000 (66 and 6 is divided by 6)
= 110000 cm/minute
Distance travelled by car in 10 minutes = 110000*10 = 1100000 cm
Let the number of revolution of the wheel is n.
So n*distance travelled in one minute = Distance travelled in 10 minutes
=> n*circumference of the wheel = Distance travelled in 10 minutes
=> n*80π = 1100000
=> n = 1100000/80π
=> n = (110000)/8π (1100000 and 80 is divided by 10)
=> n = (110000*7)/(22*8) (π = 22/7)
=> n = (10000*7)/(2*8) (110000 and 22 is divided by 11)
=> n = (5000*7)/8 (10000 and 2 is divided by 2)
=> n = 625*7 (5000 and 8 is divided by 8)
=> n = 4375
So number of revolution in 10 minutes at speed of 66 km/hour is 4375
So radius of the wheel r = 80/2 = 40
Now circumference of the wheel = 2πr
=2π*40
= 80π
Now Speed of the car = 66 km/hour
= (66*1000 *100)/60 (1 km = 1000m and 1 m = 100 cm, 1 hour = 60 minutes)
= (66*1000 *10)/6 (100 and 60 is divided by 10)
= 11*10000 (66 and 6 is divided by 6)
= 110000 cm/minute
Distance travelled by car in 10 minutes = 110000*10 = 1100000 cm
Let the number of revolution of the wheel is n.
So n*distance travelled in one minute = Distance travelled in 10 minutes
=> n*circumference of the wheel = Distance travelled in 10 minutes
=> n*80π = 1100000
=> n = 1100000/80π
=> n = (110000)/8π (1100000 and 80 is divided by 10)
=> n = (110000*7)/(22*8) (π = 22/7)
=> n = (10000*7)/(2*8) (110000 and 22 is divided by 11)
=> n = (5000*7)/8 (10000 and 2 is divided by 2)
=> n = 625*7 (5000 and 8 is divided by 8)
=> n = 4375
So number of revolution in 10 minutes at speed of 66 km/hour is 4375
ayushmaancristiano:
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Answer:
Step-by-step explanation:Hi..
Here's your answer
We have,
Speed of the car=66km/he
Distance travelled by the car in 1 hr=60 km
Distance travelled by the car in 10 min. =66/60×10km= 11km = 11 × 1000 × 100
We have,
Radius of car wheel = 40 cm
Circumference of the wheel = 2×22/7×40 cm
Therefore,
No. Of revolutions made by the wheels in 10 min =
Distance covered by car in 10min/ distance covered by car when its wheels make one complete revolution
= 11 × 1000 × 100 × 7/ 2 × 22 × 40
= 4375
Hence, each wheel makes 4375 revolutions in 10min
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