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

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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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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