Answer:
The truck have travelled 345.5 inches after 5 rotations of the tires
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=
![(diameter)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/711qyx0eba3lc0bau4xfghh7xqu3fssnh3.png)
![r=(22)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dclljz8s18o0iyw7vsoes0h7mjx386nvnm.png)
r=11 inches
The distance covered by one rotation is given by circumference
Circumference =
![2\pi r](https://img.qammunity.org/2020/formulas/mathematics/high-school/ir4p1njkse3vr4g086to99olcbhyx0uhrq.png)
Substituting the values, we get
Circumference =
![2*\pi* r](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eb3to0i4ns4r6pbht0al3zz4zolouq1hxp.png)
Circumference =
![2*\pi* 11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b6cwgjg7u67iltym7nd8a5n9yikfpkdxat.png)
Circumference =
![2*\3.14* 11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wpttz8ljihbl0mom7y7pb9r65ln5qwm22i.png)
Circumference =
![6.28* 11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6l70t1kp9hfjuoo1ftcbi0cyntww0fwe5p.png)
Circumference = 69.11
Now for 5 rotation,
Distance travelled =
![5*(\text{circumference value})](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9opbxxnq3820n7yjg4kd3uyynpfuek81zu.png)
Distance travelled =
![5*(69.11)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/88bnc6mvt8lmk2t3ztdddenjkj3h4eey46.png)
Distance travelled =
![5*(69.11)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/88bnc6mvt8lmk2t3ztdddenjkj3h4eey46.png)
The truck will travel 345.5 inches.