Chapter 13.1, Problem 4MRE

To determine

To find: The distance that a point on the tread travels in one minute.

Answer to Problem 4MRE

The distance traveled by a point on the thread is $3768ft$ .

Explanation of Solution

Given information:

The given automobile tire with diameter $2$ ft turns $10$ times per second.

  

Calculation:

Suppose that an automobile tire with diameter $2$ ft turns $10$ times per second.

  

The automobile turns for $10$ times per second.

Therefore for $1$ revolution to be completed it takes $\frac{1}{10}=0.1$ sec.

In one revolution distance travelled is,

  $\begin{array}{c}2\pi r=2\left(3.14\right)\left(1\right)\\ =6.28ft\end{array}$

In $10$ revolution distance travelled is $62.0ft$ .

Thus, in $10$ revolution it will take $1$ minute.

In $60$ seconds the distance covered is $60\times 62.8=3768$

Therefore, the distance traveled by a point on the thread is $3768ft$ .