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Q23PE

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Found in: Page 470

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

Convert an absolute pressure of 7 x 105 N/M2 to gauge pressure in lb/in2 (This value was stated to be just less than 90.0 lb/in2 in Example 13.9. Is it?)

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

See the step by step solution

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 = 7 x 105 N/M2

gauge pressure = 5.99 x 105 N/m2

1 N = 0.225 lb

1 meter = 39.37 inches

Step 3: Calculate the pressure in new units

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

Therefore, the pressure in new units is 86.95 lb/in2 which was stated as just less than 90 lb/in2.

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