Question

A wheel on Linda's bicycle is 2.5ft in diameter. Linda races the bicycle for 384ft. How many times does the wheel turn as the bicycle travels this distance?Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

Given

The diameter of the wheel bicycle is 2.5 ft.

The bicycle race by Linda is 384 ft.

Step-by-step explanation

The circumference of the wheel is

`\begin{gathered} C=2\pi r \\ C=\pi d \end{gathered}`

Substitute the values.

`\begin{gathered} C=3.14*2.5 \\ C=7.85\text{ ft} \end{gathered}`

To determine the number of times the wheel turn as the bicycle travels the distance is

`\begin{gathered} N=(384)/(7.85) \\ N=48.9 \end{gathered}`

Answer

Hence the number of times the wheel turn as the bicycle travels the distance is 49 times.