Answer:
672 revolutions.
Step-by-step explanation:
Let n represent number of revolutions.
We are asked to find the number of revolutions it will take for a car wheel of diameter 30 in. to travel a distance of one mile.
We know that 1 mile equals to 63360 inches.
We will use circumference of circle formula to solve our given problem.
[tex]\text{Circumference}=\pi D[/tex], where, D represents diameter of circle.
Now, we will set the product of n and circumference of circle equal to 63360 inches as:
[tex]\pi \cdot 30\cdot n=63360[/tex]
[tex]30\pi \cdot n=63360[/tex]
[tex]30\cdot \frac{22}{7}\cdot n=63360[/tex]
[tex]n=\frac{63360\cdot 7}{30\cdot 22}[/tex]
[tex]n=\frac{443520}{660}[/tex]
[tex]n=672[/tex]
Therefore, it will take 672 revolutions for the wheel of car to travel a distance of one mile.
