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Question:
the wheels of a car are of diameter 80cm each. how many complete revolutions does each wheel make in 10 minutes when the car is travelling at 66kmph speed
Answer:

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

 

 

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