1. 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) You could use the table if needed. 2. Referring to the table, what happens to the wavelength of a wave when the density of the medium is increased? Table: Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm) 0.85 0.1 4.0 632.5 744.1 0.85 0.7 4.0 239.0 281.2 0.85 1.3 4.0 175.4 206.4 0.85 1.9 4.0 145.1 170.7

1. 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) You could use the table if needed. 2. Referring to the table, what happens to the wavelength of a wave when the density of the medium is increased? Table: Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm) 0.85 0.1 4.0 632.5 744.1 0.85 0.7 4.0 239.0 281.2 0.85 1.3 4.0 175.4 206.4 0.85 1.9 4.0 145.1 170.7

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Question

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) You could use the table if needed.

Referring to the table, what happens to the wavelength of a wave when the density of the medium is increased?

Table:

Frequency (Hz)	Density (kg/m)	Tension (N)	Speed (cm/s)	Wavelength (cm)
0.85	0.1	4.0	632.5	744.1
0.85	0.7	4.0	239.0	281.2
0.85	1.3	4.0	175.4	206.4
0.85	1.9	4.0	145.1	170.7

Speed (cm/s)
200x^-0.5 R? = 1
800
600
400
200
0.25
0.50
0.75
1.00
1.25
1.50
1.75
Density (kg/m)
Figure 2: Speed (cm/s) vs Density (kg/m).
Speed (cm/s)

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