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Question
The wheel of a bullock cart has a diameter of 1.4 m. How many rotations will the wheel complete as the cart travels 1.1 km?
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Solution
Diameter of the wheel, d = 1.4 m
Circumference, c = πd
= `22/7xx1.4`
= 22 × 0.2
= 4.4 m
Distance covered in 1 rotation = circumference of the wheel = 4.4m
∴ Total number of rotations taken by wheel = `"total distance"/"circumference"`
= `(1.1 xx 1000)/4.4`
= `(11 xx 1000)/44`
= `11000/44`
= 250
Hence, the wheel of the bullock cart will complete 250 rotations as the cart travels 1.1 km.
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