Chapter 13.3, Problem 26PP

To determine

To Calculate: The ratio of the area of pistons.

Answer to Problem 26PP

The ration of the areas of their pistons is $0.4$ .

Explanation of Solution

Given data:

Weight of an adult, $F_1=1100\text{N}$

Weight of child, $F_2=400\text{N}$

Formula used:

According to Pascal's law:

  $P\text{ =}\frac{F_1}{A_1}= \frac{F_2}{A_2}$

Therefore, the force  $F_2$  is larger than  $F_1$  by multiplying factor  $\frac{A_2}{A_1}$ .

Calculation:

  $\frac{A_2}{A_1}=\frac{F_2}{F_1}$

By putting all the values in above formula,

  $\text{=}\frac{\text{400}\text{N}}{\text{1100}\text{N}}\text{=}\text{0}\text{.4}$

Conclusion:

The ratio is $0.4$ .