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The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did Paul's front wheel complete?

Sagot :

Answer: [tex]17,649[/tex]

Step-by-step explanation:

Given

The radius of the cycle is [tex]r=63\ cm[/tex]

Distance traveled by Paul is [tex]68.89\ km[/tex]

Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

[tex]\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m[/tex]

No of revolution made by wheel

[tex]\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649[/tex]

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