Question

Question: Convert an absolute pressure of to gauge pressure in (This value was stated to be just less than in Example 13.9. Is it?)

Short answer

Answer

Pressure in terms of lb/in² is 86.95 lb/in²

Step-by-step solution

Introduction

We use conversion units to convert N to lb and meters to inches.

Given parameters and conversion units

Absolute pressure = $\mathbf{7}\mathbf{\times }{\mathbf{10}}^{\mathbf{5}}\mathit{N}\mathbf{/}{\mathit{m}}^{\mathbf{2}}$

gauge pressure =$5.99\times {10}^{5}N/m^2$

1 N = 0.2251b

1 meter = 39.37 inches

Calculate the pressure in new units

$$\begin{gathered} 5.99\times {10}^5\mathrm{N}/{\mathrm{m}}^2=\frac{5.99\times {10}^5\times 0.225}{39.37\times 39.37}\mathrm{lb}/{\mathrm{in}}^2 \\ =86.95\mathrm{lb}/{\mathrm{in}}^2 \end{gathered}$$

Therefore, the pressure in new units is which was stated as just less than 90 1b/in²