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.