Explanation Appendix A For the Specific Weight versus temperature, the curve fitting equation is as below: γ = − 3 × 10 − 5 ⋅ T 2 − 0.0009 ⋅ T + 9.8195..... ( 1 ) Where, γ = specific gravity in k N / m 3 T = temperature in C 0 By using data available in Appendix A, we can get the below mentioned graph for specific weight versus Temperature. Let us calculate the specific gravity for temperature 0 C 0 in equation (1), γ = − 3 × 10 − 5 ⋅ T 2 − 0.0009 ⋅ T + 9.8195 γ = − 3 × 10 − 5 ⋅ 0 2 − 0.0009 ⋅ 0 + 9.8195 γ = 9.815 kN/m 3 For the percentage of error in specific gravity, we can use the following equation, % error = γ A P X − γ C F γ A P X ..... ( 2 ) Where, γ A P X = the specific gravity from Appendix A γ C F = the specific gravity from the curve fitting equation In equation (2), putting the values, % error = γ A P X − γ C F γ A P X % error = 9.81 − 9.815 9.81 × 10 % error =-0 .509684 The below table is showing the values of specific gravity for Appendix A and for curve fitting with % the percentage error in specific gravity: For the density versus temperature, the curve fitting equation is as below: ρ = − 0

7th Edition

ISBN: 9781292019611

Author: Robert Mott

Publisher: Pearson Higher Education

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Question

Chapter 1, Problem 2CAEA

To determine

The percent difference between the table values and the computed values and To draw : A graph for (1) specific weight versus temperature and (2) density versus temperature on the spread sheet showing the equations used.

The graph for (1) specific weight versus temperature:

(2) Density versus temperature:

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Chapter 1 Solutions

Applied Fluid Mechanics: Global Edition

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