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प्रश्न
The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.
विकल्प
2800
4000
5500
7000
उत्तर
The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is 7000.
Explanation:
Here,
Number of revolutions = `"Total distance"/("Distance covered in" 1 "revolution")`
Given,
Radius = 0.25 m
Total Distance = 11 km = 11,000 m
Therefore,
Distance covered in one revolution = Circumference of wheel
= 2πr
= `2 xx 22/7 xx 0.25`
= `2 xx 22/7 xx 1/4`
= `11/7` m
Now,
Number of revolutions = `"Total distance"/("Distance covered in" 1 "revolution")`
= `11000/(11/7)`
= `11000 xx 7/11`
= 1000 × 7
= 7000
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