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प्रश्न
The radius of a wheel is 0.25 m. The number of revolutions it will make to travel a distance of 11 km will be
पर्याय
2800
4000
5500
7000
उत्तर
We have given the radius of the wheel that is 0.25 cm.
We know that distance covered by the wheel in one revolution=`" Distance moved"/"Number of revolutions"`
Distance covered by the wheel in one revolution is equal to the circumference of the wheel.
`2pi r="Distance moved"/"Number of revolutions"......(1)`
Distance moved is given as 11 km so we will first convert it to m.
∴ 11 km = 11000 m
Now we will substitute the values in equation (1),
`2xxpixx0.25=11000/"Number of revalution"`
Now we will substitute pi=`22/7`
`2xx22/7xx0.25=11000/"Number of revolutions"`
Simplifying equation (1) we get,
`∴" Number of revolutions"=(11000xx7)/(2xx22xx0.25)`
`∴" Number of revolutions"=(11000xx7)/(22xx0.5)`
`∴" Number of revolutions"=(1000xx7)/(2xx0.5)`
`∴" Number of revolutions"=7000/1`
`∴" Number of revolutions"=7000`
Therefore, it will make `7000` revolutions to travel a distance of 11 km.
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