Question

How many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile?

Answer 1

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.

$\text{Circumference}=\pi D$, where, D represents diameter of circle.

Now, we will set the product of n and circumference of circle equal to 63360 inches as:

$\pi \cdot 30\cdot n=63360$

$30\pi \cdot n=63360$

$30\cdot \frac{22}{7}\cdot n=63360$

$n=\frac{63360\cdot 7}{30\cdot 22}$

$n=\frac{443520}{660}$

$n=672$

Therefore, it will take 672 revolutions for the wheel of car to travel a distance of one mile.