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3.3 Lab Assignment: Waves
Part 1: Wavelength, Frequency, and Wave Speed
Open the simulation “Wave on a String” by clicking on the link in Canvas. Or hold the control [ctrl] key down and click on this link: https://phet.colorado.edu/en/simulation/wave-on-a-string
Pause the simulation.
Set the controls to Oscillate and No End (top left and right).
Set the amplitude to 0.75 cm. Set the frequency to 1.00 Hz
Set the Tension to Low.
Set the Damping to zero.
Click the box to show the rulers. Note the rulers mark centimeters (cm).
Click play and observe the wave. To measure the wavelength, click pause.
One wavelength is the distance to the next peak. In the below example, the wavelength is 1.1 cm (blue double arrow). This is not very precise, however. For better precision, position the horizontal ruler so that the 0.0 cm mark is over the left-most peak. Measure L to the right-most peak (purple arrow). L = 6.40 cm
Then divide by the number of gaps between these end peaks. (Green numbers)
n = 6
λ
= L/n = 6.40 cm/6 = 1.07 cm This is the most accurate way to get precise measurement of the wavelength. Use it here and in part 2.
Make sure damping is set to zero and the no end
and oscillate options are set. Start with tension on low.
Set the frequency and wave tension to the following values. Let the wave fill the
screen. Measure the wavelength and calculate the wave speed.
Formula: Wave Speed = (frequency)(Wavelength) = f λ
Tension
Frequency f
(Hz)
Wavelength λ
(cm)
Wave Speed v
(cm/s)
Low
1.00
0.8571
0.8571.
Low
1.25
0.9833
1.2291
Medium
1.50
2.0667 3.1001
Medium
2.00
1.65
3.3
High
2.00
2.1
4.2
High
3.00
2.1
6.3
Note: as presented in class, when you change the frequency of the wave but not
the physical properties of the medium, the speed should not change. So, you should get approximately the same speed for each Tension setting in the above set of measurements. The simulation is capable of very high levels of accuracy,
so if your wave speed varies by more than a few percent for the same tension setting, review your wavelength measurements to see if one of them is in error.
As the tension on the string increases, the speed of the wave
x
a
decreases
b
stays the same
c
increases
For confirmation, look at the textbook Chapter 6, section 1 for a formula that can allow one to measure the wave speed of a wave on a string.
Name the physical quantities the wave speed depends on for a wave on a string. There are two. The velocity of a wave propagating along a string is contingent upon two distinct physical quantities:
Frequency, denoted as "f," refers to the quantity of full oscillations or cycles of a wave that transpire inside a unit of time, namely one second. The unit of measurement for this quantity is hertz (Hz).
The wavelength (λ) refers to the spatial extent between two successive locations in a wave that exhibit phase coherence, such as consecutive crests or troughs. Typically, the unit of measurement employed is either meters or centimeters.
The equation provides a mathematical representation of the interdependence between wave speed, frequency, and wavelength.
The equation for wave speed (v) can be expressed as the product of frequency (f) and wavelength (λ).
Part 2 Doppler Effect Open the simulation link labeled “Physics Aviary Doppler Effect Simulation. https://www.thephysicsaviary.com/Physics/Programs/Labs/DopplerLab/
Student
Object Speed m/s
Wave Speed m/s
Frequency Hz
Baca, Jacob
0 then 100
150
4.0
Bltom, Biniam
0 then 98
145
3.9
Brion, Matthew
0 then 96
140
3.8
Clevenger, Christopher
0 then 94
135
3.7
Eldridge, Marcus
0 then 92
130
3.6
Higgins, Sean
0 then 90
125
3.5
High, Parker
0 then 88
120
3.4
Jimenez, Serena
0 then 86
115
3.3
Mejia, JeffreyLousie
0 then 84
110
3.2
Mohibi, Hasibullah
0 then 82
105
3.1
Poor, Travis
0 then 80
100
3.0
Powell, Anniya
0 then 78
150
4.0
Smith, Shawn
0 then 76
145
3.9
Tanner, Anthony
0 then 74
140
3.8
0 then 72
135
3.7
0 then 70
130
3.6
0 then 68
125
3.5
0 then 66
120
3.4
0 then 64
115
3.3
0 then 62
110
3.2
0 then 60
105
3.1
Instructor
0 then 58
100
3.0
Start by setting the object speed to zero
. Set the Wave Speed and Frequency to the values listed by your name in the table. Click start and observe the wave fronts depicted in the simulation moving away
from the source at the wave speed. Pause the simulation to measure the wavelength by noting the squares in the grid between one wave front and the next. Use the method described in part 1 to get precise wavelength measurements. Make a screen shot of your wave. Be sure the screen shot is big enough to fill the full width of the document. Paste Screenshot here.
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ICS
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a. 0.05 m
b. О.2 m
cion
с. О.1 m
Previous page
Chapter-12 C
ctice Quiz Experiment-1, T-2, AY
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G Google
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Zearn Math: A Com.
1 6.1.4 Qulz Wave Interactions
Question 10 of 10
Which pair of waves could overlap to produce a wave with a higher amplitude
through interference?
A. Two waves of different amplitudes that are also different types of
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B. Two waves of different amplitudes with crests that overlap
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C. Two waves of the same amplitude with crests that are perfectly
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SUBMIT
E PREVIQUS
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Determine whether each statement is true or false. Then on a separate sheet of
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2. The crest of a wave is the maximum dis-
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sions and rarefactions.
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1 cm
0.00
Frequency
min
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Amplitude
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||| | ||
Separation
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O Graph
Question: How do you recognize the antinodes? Please explain your answer
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In this lab, you will need to be able to describe how multiple waves interact with each other. 1) This does not add too much mathematical complexity to the wave equation (Eq
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= sin ((T2 − 27t) × (5 +27t))=sin( + n²xt - 4π²₁²)
(2²22²
Y1 X Y2
=
sin (7 − 27t) x sin (2 +27t)
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πX
Y₁ + y₂ = sin (TX 2πt + ₂ + 2πt)
2
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+2πt) = sin (³)
2
Y2 = sin(+2πt)
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