Chapter SH, Problem 14.7APP

To determine

To calculate: Force exerted on the other piston.

Answer to Problem 14.7APP

Force exerted on the other piston is $\underset{\_}{2080\text{ N}}$ .

Explanation of Solution

Given:

Force on first piston = $1300\text{ N}$

Area of first piston = $0.05{\text{ m}}^2$

Area of second piston = $0.08{\text{ m}}^2$

Formula used:

Pascal’s Principle is given by,

  $\frac{F_{\text{in}}}{A_{\text{in}}}=\frac{F_{\text{out}}}{A_{\text{out}}}$

Where $F_{\text{in}}$is input force, $A_{\text{in}}$ is input area, $F_{\text{out}}$ is output force and $A_{\text{out}}$ is output area.

Calculation:

Force exerted on the other piston is calculated as:

  $\begin{array}{l}\frac{F_{\text{in}}}{A_{\text{in}}}=\frac{F_{\text{out}}}{A_{\text{out}}}\\ F_{\text{out}}=\frac{F_{\text{in}}\cdot A_{\text{out}}}{A_{\text{in}}}\\ F_{\text{out}}=\frac{\left(1300\text{ N}\right)\left(0.08{\text{ m}}^2\right)}{0.05{\text{ m}}^2}\\ F_{\text{out}}=2080\text{ N}\end{array}$

Conclusion:

Force exerted on the other piston is

  $\underset{\_}{2080\text{ N}}$ .