What does the slope represent?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 46P: Submarine A travels horizontally at 11.0 m/s through ocean water. It emits a sonar signal of...
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What does the slope represent?

 

1. Calculate the slope of graphs 1 and 2. Show your solution below.
Graph 1: Varying Amplitude at Constant Frequency (Wavelength vs Wave Speed)
6.6 – 6.6
m =
4.4 – 4.4
Graph 2: Varying Frequency at Constant Amplitude (Wavelength vs Wave Speed)
6.3 – 6.0
1
= --= -0.17
6.
m =
4.2 – 6
6.4 – 6.3
1.
= -0.1
m =
3.2 – 4.2
10
6.5 – 6.4
1
m =
- - =
-0.17
2.6 – 3.2
6.6 – 6.5
1
--= -0.25
4
m =
2.2 – 2.6
Transcribed Image Text:1. Calculate the slope of graphs 1 and 2. Show your solution below. Graph 1: Varying Amplitude at Constant Frequency (Wavelength vs Wave Speed) 6.6 – 6.6 m = 4.4 – 4.4 Graph 2: Varying Frequency at Constant Amplitude (Wavelength vs Wave Speed) 6.3 – 6.0 1 = --= -0.17 6. m = 4.2 – 6 6.4 – 6.3 1. = -0.1 m = 3.2 – 4.2 10 6.5 – 6.4 1 m = - - = -0.17 2.6 – 3.2 6.6 – 6.5 1 --= -0.25 4 m = 2.2 – 2.6
Results:
Part B: Varying Frequency at Constant Amplitude
Table 2
Part A: Varying Amplitude at Constant Frequency
PARAMETERS
Wave 1
Wave 2
Wave 3
Wave 4
Wave 5
Amplitude
Frequency
Wavelength (cm)
Period (s)
Wave Speed (cm/s) | 6.0 cm/s
0.50 cm
0.50 cm
0.50 cm
0.50 cm
0.50 cm
Table 1
1.00 Hz
1.50 Hz
2.00 Hz
2.50 Hz
3.00 Hz
PARAMETERS
Wave 1
Wave 2
Wave 3
Wave 4
Wave 5
6 cm
4.2 cm
3.2 cm
2.6 cm
2.2 cm
1.5 Hz
1.25 cm
1.5 Hz
1s
0.67 s
0.5 s
0.4 s
0.33 s
Frequency
Amplitude
Wavelength (cm)
Period (s)
Wave Speed (cm/s)
1.5 Hz
1.5 Hz
1.5 Hz
0.50 cm
6.3 cm/s
6.4 cm/s
6.5 cm/s
6.6 cm/s
0.25 cm
0.75 cm
1.00 cm
4.4 cm
4.4 cm
4.4 cm
4.4 cm
4.4 cm
Period
Wave Speed
0.67 s
0.67 s
0.67 s
0.67 s
0.67 s
6.6 cm/s
T=;
v = Af
6.6 cm/s
6.6 cm/s
6.6 cm/s
6.6 cm/s
T =1==1s
1.00
vi =1,f = (6)(1.0) = 6.0 cm/s
Period
Wave Speed
T=!==0.67 s
v = af
T2 ==
v2 = 12f2 = (4.2)(1.5) = 6.3 cm/s
* 1.50 =0.67s
I 15
1
1
T3 ==
= 0.5 s
V3 = 13f3 = (3.2)(2.0) = 6.4 cm/s
%3D
; constant period since constant frequency vi =1,f1 = (4.4)(1.5)= 6.6 cm/s
2.00
T4 ==
1
= 0.4 s
2.50
V4 = 14f4 = (2.6)(2.5) = 6.5 cm/s
1.
Ts === 0.33 s
fs
1
Wave Speed vs. Wavelength
V5 = 1sfs = (2.2)(1.5)= 6.6 cm/s
3.00
6.6
Wave Speed vs. Wavelength
5.6
4.6
6.7
6.6
3.6
* 6.5
2.6
6.4
1.6
6.3
6.2
0.6
3 6.1
-0.4
-0.1
0.4
0.9
1.4
1.9
2.4
2.9
3.4
3.9
4.4
6.
Wavelength (cm)
5.9
2.2
2.7
3.2
3.7
4.2
4.7
5.2
5.7
Wavelength (cm)
Wave Speed (cm/s)
Wave Sped (cm/s)
Transcribed Image Text:Results: Part B: Varying Frequency at Constant Amplitude Table 2 Part A: Varying Amplitude at Constant Frequency PARAMETERS Wave 1 Wave 2 Wave 3 Wave 4 Wave 5 Amplitude Frequency Wavelength (cm) Period (s) Wave Speed (cm/s) | 6.0 cm/s 0.50 cm 0.50 cm 0.50 cm 0.50 cm 0.50 cm Table 1 1.00 Hz 1.50 Hz 2.00 Hz 2.50 Hz 3.00 Hz PARAMETERS Wave 1 Wave 2 Wave 3 Wave 4 Wave 5 6 cm 4.2 cm 3.2 cm 2.6 cm 2.2 cm 1.5 Hz 1.25 cm 1.5 Hz 1s 0.67 s 0.5 s 0.4 s 0.33 s Frequency Amplitude Wavelength (cm) Period (s) Wave Speed (cm/s) 1.5 Hz 1.5 Hz 1.5 Hz 0.50 cm 6.3 cm/s 6.4 cm/s 6.5 cm/s 6.6 cm/s 0.25 cm 0.75 cm 1.00 cm 4.4 cm 4.4 cm 4.4 cm 4.4 cm 4.4 cm Period Wave Speed 0.67 s 0.67 s 0.67 s 0.67 s 0.67 s 6.6 cm/s T=; v = Af 6.6 cm/s 6.6 cm/s 6.6 cm/s 6.6 cm/s T =1==1s 1.00 vi =1,f = (6)(1.0) = 6.0 cm/s Period Wave Speed T=!==0.67 s v = af T2 == v2 = 12f2 = (4.2)(1.5) = 6.3 cm/s * 1.50 =0.67s I 15 1 1 T3 == = 0.5 s V3 = 13f3 = (3.2)(2.0) = 6.4 cm/s %3D ; constant period since constant frequency vi =1,f1 = (4.4)(1.5)= 6.6 cm/s 2.00 T4 == 1 = 0.4 s 2.50 V4 = 14f4 = (2.6)(2.5) = 6.5 cm/s 1. Ts === 0.33 s fs 1 Wave Speed vs. Wavelength V5 = 1sfs = (2.2)(1.5)= 6.6 cm/s 3.00 6.6 Wave Speed vs. Wavelength 5.6 4.6 6.7 6.6 3.6 * 6.5 2.6 6.4 1.6 6.3 6.2 0.6 3 6.1 -0.4 -0.1 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 6. Wavelength (cm) 5.9 2.2 2.7 3.2 3.7 4.2 4.7 5.2 5.7 Wavelength (cm) Wave Speed (cm/s) Wave Sped (cm/s)
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