The diameter of a truck tire is 22inches Approximately how fat will the truck have traveled after 5 rotations of these tires

Respuesta :

Answer:

The truck have travelled 345.5 inches after 5 rotations of the tires

Step-by-step explanation:

Given:

Diameter of the tyre= 22 inches

Number of rotations= 5

To find:

Distance travelled after 5 rotations=?

Solution:

We have given with diameter,

So let radius be r

r= [tex]\frac{diameter}{2}[/tex]

[tex]r=\frac{22}{2}[/tex]

r=11 inches

The distance covered by one rotation is given by circumference

Circumference =[tex]2\pi r[/tex]

Substituting the values, we get

Circumference =[tex]2\times\pi\times r[/tex]

Circumference =[tex]2\times\pi\times 11[/tex]

Circumference =[tex]2\times\3.14\times 11[/tex]

Circumference =[tex]6.28\times 11[/tex]

Circumference = 69.11

Now for 5 rotation,

Distance travelled = [tex]5\times(\text{circumference value})[/tex]

Distance travelled = [tex]5\times(69.11)[/tex]

Distance travelled = [tex]5\times(69.11)[/tex]

The truck will travel 345.5 inches.