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Q23PE

Expert-verifiedFound in: Page 470

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**Convert an absolute pressure of 7 x 10 ^{5} N/M^{2} to gauge pressure in lb/in^{2} (This value was stated to be just less than 90.0 lb/in^{2} in Example 13.9. Is it?)**

Pressure in terms of lb/in^{2} is 86.95 lb/in^{2}.

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

Absolute pressure = 7 x 10^{5} N/M^{2}

gauge pressure = 5.99 x 10^{5} N/m^{2}

1 N = 0.225 lb

1 meter = 39.37 inches

$\begin{array}{rcl}{\mathbf{5}}{\mathbf{.}}{\mathbf{99}}{\mathbf{\times}}{{\mathbf{10}}}^{{\mathbf{5}}}{\mathbf{N}}{\mathbf{/}}{{\mathbf{m}}}^{{\mathbf{2}}}& {\mathbf{=}}& \frac{\mathbf{5}\mathbf{.}\mathbf{99}\mathbf{\times}{\mathbf{10}}^{\mathbf{5}}\mathbf{\times}\mathbf{0}\mathbf{.}\mathbf{225}}{\mathbf{39}\mathbf{.}\mathbf{37}\mathbf{\times}\mathbf{39}\mathbf{.}\mathbf{37}}{\mathbf{lb}}{\mathbf{/}}{{\mathbf{in}}}^{{\mathbf{2}}}\\ & {\mathbf{=}}& {\mathbf{86}}{\mathbf{.}}{\mathbf{95}}{\mathbf{}}{\mathbf{lb}}{\mathbf{/}}{{\mathbf{in}}}^{{\mathbf{2}}}\end{array}$

Therefore, the pressure in new units is **86.95 lb/in**^{2}** **which was stated as just less than 90 lb/in^{2}.

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