Chapter 8, Problem 6P

To determine

To Calculate: The number of revolutions of the wheel.

Answer to Problem 6P

  $3747$

Explanation of Solution

Given:

Distance travelled by ball, $d=8\text{km}=8000\mathrm{m}$ .

Diameter of the wheel, $2r=68\text{cm}=0.68\mathrm{m}$ .

Formula used:

Circumference of a circle = $2\pi r$

Total distance, $d=2\pi r\times n$

  $r$ = radius

  $n$ = number of revolutions

Calculation:

Substituting the given values

  $\frac{d}{2\pi r}=n$

  $\frac{8000}{\pi \times 0.68}=n$

  $n=3747$

Conclusion:

Thus, the number of revolutions of the wheel are $3747$ .