Q23PE - College Physics (Urone)

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?)

Step-by-Step Solution

Answer

Answer

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

Step 1: Introduction

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

Step 2: 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

Step 3: 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