You are going on a field trip in a school bus. A special detector placed on one of the busses tires counts the number of rotations completed by the tire during the journey. The tire's diameter is 1 meter, and it made 8000 rotations during the trip. How far did it travel? Round to the nearest meter

Respuesta :

You are going on a field trip in a school bus. The buses traveled 25132.8 meters approximately.

Solution:

Given, you are going on a field trip in a school bus.  

The tire's diameter is 1 meter  

The tire made 8000 rotations during the trip

We know that radius is half of diameter

[tex]\text { Radius of tire }=\frac{\text {diameter}}{2}=\frac{1}{2} \text { meter }[/tex]

Circumference of tire is [tex]2 \pi r[/tex]

We have to find how far did it travel

[tex]\text { Distance traveled }=\text { number of rotations made } \times \text { circumference of tire}[/tex]

[tex]\begin{array}{l}{=8000 \times 2 \pi r} \\\\ {=8000 \times 2 \pi \times \frac{1}{2}} \\\\ {=8000 \times 3.14=25132.741}\end{array}[/tex]

Hence, buses traveled 25132.8 meters approximately.