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Question
The diameter of a cycle wheel is `4(5)/(11)"cm"`. How many revolutions will it make in moving 6.3km?
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Solution
The Circumference of a wheel with diameter d is πd
The Circumference of a wheel with diameter `4(5)/(11)"cm"`
= `(49)/(11) "is" pi xx (49)/(11)`
= `(22)/(7) xx (49)/(11)`
= 14cm
Total distance moved
= 6.3km
= 6.3 x 100000cm
= 630000cm
Number of revolutions
= `"Total distance moved"/"Circumference of wheel"`
= `(6.3 xx 100000)/(14)`
= 45000.
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