Question

the diameter of a bicycle wheel is 0.7 meters. find the number of complete revolutions made by the wheel if the bicycle travels 440 meters. use 22/7 as an approximation for
`\pi`

Answer 1

`200\ rev`

Explanation:

we know that

`1\ rev=2\pi r` ----> circumference of a circle

step 1

Find the circumference of a circle

The circumference is equal to

`C=2\pi r`

we have

`r=0.7/2=0.35\ m` ----> the radius is half the diameter

`\pi=22/7`

substitute

`C=2(22/7)(0.35)=2.2\ m`

step 2

Find the number of complete revolutions made by the wheel if the bicycle travels 440 meters

Divide the total distance by the circumference

`(440)/(2.2)=200\ rev`