What mathematical relationship exists between the wave speed and the density of the medium, using the POWER trendline equation from the graph? Make your response specific (i.e., describe the full mathematical proportionality between the two variables) Feel free to use the table. Table: Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm) 0.85 0.1 4.0 632.5 744.12 0.85 0.7 4.0 239.0 281.18 0.85 1.3 4.0 175.4 206.35 0.85 1.9 4.0 145.1 170.70

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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What mathematical relationship exists between the wave speed and the density of the medium, using the POWER trendline equation from the graph? Make your response specific (i.e., describe the full mathematical proportionality between the two variables) Feel free to use the table.

Table: 

Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm)
0.85 0.1 4.0 632.5 744.12
0.85 0.7 4.0 239.0 281.18
0.85 1.3 4.0 175.4 206.35
0.85 1.9 4.0 145.1 170.70
Density (kg/m) vs Speed (cm/s)
700
600
y = 199.99x.5
500
R2 = 1
400
300
200
100
0.2
0.4
0.6
0.8
1.2
1.4
1.6
1.8
Density (kg/m)
Speed (cm/s)
Transcribed Image Text:Density (kg/m) vs Speed (cm/s) 700 600 y = 199.99x.5 500 R2 = 1 400 300 200 100 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Density (kg/m) Speed (cm/s)
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