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Q.

A wheel is having a circumference of 56 cm.  How many revolutions it would make while crossing 1.11 kmuseπ=227.

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a

31.25

b

56.25

c

625

d

62.5

answer is C.

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Detailed Solution

Starting with the provided diameter, we will calculate the wheel's radius.

The distance travelled must be measured in the same units, hence the distance travelled must be converted to cm. The circumference of the wheel will be equal to the total distance travelled during one revolution. Divide the entire distance by the distance covered in one revolution to determine the total number of revolutions.

Total distance covered by the wheel =1.1 km=1.1×100000 cm=110000 cm

diameter of wheel =56 cm

So, r=562

r=28 cm

Now, Circumference of wheel = Distance covered in one round =2π×r=2π×28

So, distance covered in one round =176 cm

Number of revolutions = total distance covered  Circumference 

=110000176

So, number of revolutions covered by wheel =625

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