Chapter 13.1, Problem 6P

To determine

To find: The speed of a seat on the rim.

Answer to Problem 6P

The speed of a seat in the rim is $160\pi \text{ft}/\min$ .

Explanation of Solution

Given information:

The merry go round $40\text{ft}$ in a diameter and makes the four revolutions every minute

Calculation:

The distance travelled every revolution

  $Circumference=\pi \left(diameter\right)$.

The distance covered by merry,

  $D=40\pi \text{ft}/\text{rev}$

Calculate the speed of the seat.

  $\begin{array}{l}v=\left(\frac{\text{distance}}{\text{revolution}}\right)\left(\frac{\text{revolutions}}{\text{time}}\right)\\ v=\left(\frac{40\pi \text{ft}}{\text{rev}}\right)\left(\frac{4\text{rev}}{1\min }\right)\\ v=160\pi \text{ft}/\min \end{array}$

Therefore, the speed of a seat in the rim is $160\pi \text{ft}/\min$ .