Question

Ann has a mountain bicycle with a tie diameter of 28.7 inches. A) what is the circumference of one bike tire? B) If the the bike tire makes 270 revolutions in one minute, approximately how far will she travel in one minute?

Answer 1

A) The circumference of the tire is approximately 90.12 in.

B) Ann can travel a distance of
`24332.4\ in` or
`618.04\ m` in one minute.

Explanation:

Given,

Diameter of the tire = 28.7 in

Solving for part A.

We have to find out the circumference of the tire.

Since the tire is in circular shape.

So the circumference of the tire is equal to π multiplied with diameter.

On framing the above sentence in equation form, we get;

`Circumference = \pi d`

On putting the values, we get;

`Circumference = 3.14*28.7=90.118\approx90.12\ in`

Hence The circumference of the tire is approximately 90.12 inches.

Solving for part B.

Now Given:

Number of revolutions = 270

Now we know that distance traveled is equal to circumference of the travel.

In 1 revolution = 90.12 inches

so in 270 revolutions = Distance traveled in 270 revolutions.

By Using Unitary method we get;

Distance traveled in 270 revolutions =
`90.12* 270 = 24332.4\ in`

Now we know that 1 inch = 0.0254 m

So 24332.4 inch = Distance traveled in 1 minute

By Using Unitary method we get;

Distance traveled in 1 minute =
`0.0254* 24332.4 = 618.04\ m`

Hence Ann can travel a distance of
`24332.4\ in` or
`618.04\ m` in one minute.