The normal-sized tires on a truck have a 16-inch radius. If oversized tires of 18-inch radius are used, how much farther does the truck travel per revolution?

The normalsized tires on a truck have a 16inch radius If oversized tires of 18inch radius are used how much farther does the truck travel per revolution class=

Respuesta :

Explanation: For this question, we will work with the circumference of a circle that can be calculated using the following formula

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

Where 'r' means the circle radius.

Step 1: So let's calculate the circumference for both tires

[tex]\begin{gathered} C_{16inch}=2\pi r=2\cdot\pi\cdot16\cong100inches \\ C_{18inch}=\text{ }2\pi r=2\cdot\pi\cdot18\cong113inches \end{gathered}[/tex]

Result: As we can see above, for one revolution the 16-inch tire the truck does approximately 100 inches. For an 18-inch tire, the truck does 113 inches for each revolution which means that for an oversized tire of 18-inch the truck does 113-100 = 13 inch much further per revolution.