University of Maryland Ohms Law Laboratory Report I need two lab reports one is about the speed of sound the second one is about Ohm’s law. I will pos

University of Maryland Ohms Law Laboratory Report I need two lab reports one is about the speed of sound

the second one is about Ohm’s law.

I will post pictures of the lab manual for the procedure and the process of each lab and on how the lab should be written.

Title page – Include title of lab, name, date etc.

Objectives – Can be bulleted list.
Equipment – Include list of all items used. Also in include sketch of apparatus, photograph is OK.
Introduction/Theory – Describe the underlying physics of the lab and any background information.
Equations – List all equations in your calculations. Be sure to define all variable and include units. Number each equation and refer to it in the text.
Procedure – Sequential list of the steps you took to complete the lab.
Results – Include any plots, tables etc. For plots, be sure all numbers and axes are easy toread. Label axes including units.
Discussion/Conclusion – Summarize your results. If an unexpected result was observed, what went wrong? Describe possible sources of error/uncertainty. Include how you would improve the experiment if you were to repeat it. Loyd-Physics-Laboratory-Man…
Speed of Sound-Resome
Tube
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Physics Laby Mawland
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Physics Laboratory Manual Loyd
LABORATORY 22
Speed of Sound—Resonance
Tube
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Image not available due to copyright restrictions
OBJECTIVES
Determine the effective length of a closed tube at which resonance occurs for several tuning forks.
Determine the wavelength of the standing wave from the effective length of the resonance tube
for each tuning fork.
Determine the speed of sound from the measured wavelengths and known tuningfork frequencies
and compare with the accepted value.
EQUIPMENT LIST
• Resonance tubes (with length scale marked on the tube)
• Tuning forks (range 500 to 1040 Hz) and rubber hammer
• Thermometer (one for the class)
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THEORY
Traveling waves of speed V, frequency f, and wavelength i are described by
V = fi
. (Eq. 1)
We can determine the speed of a traveling wave for known frequency and wavelength from Equation 1.
It is difficult to measure the properties of a traveling wave directly. When two waves of exactly the same
speed, frequency, and wavelength travel in opposite directions in the same region, they produce standing
waves. These standing waves can be measured easily.
This laboratory uses a device called a resonance tube to produce standing waves from the sound
waves emitted from a tuning fork. The can shown in Figure 22-1 contains water, and the level of the water
in the tube can be varied as the can is moved up and down. The water acts as the closed end of the tube,
and changing the water level changes the effective length of the resonance tube.
A tuning fork, clamped just above the open end of the tube, is struck with a rubber hammer.
Sound waves travel down the tube and are reflected when they strike the water. Standing waves are
produced by these traveling waves going in both directions inside the tube. The waves reflected from the
closed end of the tube undergo a phase change of 180, and are completely out of phase with the incident
waves. Therefore, the combined amplitude of the incident and reflected waves must be zero at the closed
end of the tube. A point in space with wave amplitude zero at all times is called a node N. From similar
considerations of the relative phase between the incident and reflected waves, at the open end of the tube
the wave amplitude must be a maximum at all times. Such a point is called an antinode A. The speed of
sound is fixed, and, for a given tuning fork, the frequency is fixed. Therefore, the resonance conditions can
be satisfied for only certain specific lengths of the tube.
Figure 22-2 illustrates the necessary relationship between the length of the tube and the wavelength of
the wave for the first four resonances of the tube. Sound waves are a type of wave known as longitudinal.
The amplitude of a sound wave is determined by pressure variations in the air along the direction of wave
motion. The sound waves in the figure are pictured as if they were transverse waves for ease of
representation. The resonances are pictured from left to right as they are encountered when the level
of the water in the tube is lowered, increasing the effective length of the tube. The distances L, L, Lg, and
Le refer to the distance from the top of the tube to the water level for the first four resonances. The locations
of the nodes N and antinodes A are shown for each of these resonances. In the first resonance there is a
single node and antinode. Each successive resonance adds an additional node and antinode. The distance
between a node and the next antinode is one-fourth wavelength (1/47). The distance between nodes is
one-half wavelength (1/21).
The location of several of the resonances for each tuning fork will be determined experimentally.
If the situation were ideal, the following relationships would be implied by Figure 22-2 for the first four
resonances shown
in
4 = 1/4: L2 = 3/4; L3 = 5/41
LA = 7/4
= 1
(Eq. 2)
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Laboratory 22 Spol of Saunde Tube
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Physics Laboy Manwal Land
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EXPERIMENTAL PROCEDURE
carefully tint tuning forks should be struck only with the rubber lammer. Take care to ensure that neither the
Prammer nor a vibrating tuning fork comes into contact with the tube.
1. Measure the room temperature of the air and record it in Data Table 1.
2. Adjust the water level until the can is essentially empty when the tube is almost full. The water level
in the tube should come to at least within 0.050 m of the open end of the tube. It may be necessary to
remove some water from the can when the water level is near the bottom of the tube.
3. Clamp a tuning fork above the top of the tube, and one partner should strike it repeatedly with the
rubber hammer. Keep the fork vibrating continuously with a large amplitude. With the tuning
fork vibrating, another partner should slowly lower the water level from the top while listening for a
resonance. The sound will be very loud when a resonance is achieved. Try to measure the position of
each resonance to the nearest millimeter. Raise and lower the water level several times to produce
three trials for the measured position of the first resonance and record the values in Data Table 2.
Record the frequency of the tuning fork in Data Table 2.
4. Repeat the procedure in Step 3 to locate as many other resonances as possible. Depending upon the
frequency of the tuning fork, either three or four resonances should be attainable. Record in Data
Table 2 the location of resonances that are attained.
5. Use a second tuning fork of different frequency and repeat Steps 1 through 4. Record in Data Table 3
the frequency of the tuning fork and the position of as many resonances as are attained.
Figure 22-2 Nodes and antinodes of first four resonances of a tube dosed at one end.
La
Examine Figure 22-2 carefully to be sure that you understand how the relationships given in Equations 2
are implied by the figure.
The relationships given in Equations 2 are not valid for a real resonance tube because the point at which
the upper antinode actually occurs is just outside the end of the tube. The exact location depends upon the
diameter of the tube. Equations 2 are not directly useful to determine the wavelength i of the wave.
The end effect is the same for each of the resonances and will cancel if differences between the
locations of the individual resonances are considered. Considering the differences between adjacent
resonances gives the following
L2-4 = L3 – L2 = 44 – L3 = 1/2
(Eq. 3)
Equations 3 determine the wavelength, and the frequency of the tuning fork is known. Equation 1 then
allows determination of the speed of sound.
If Equations 3 are used and the results are then averaged, it would amount to taking the sum of twice
the three differences and then dividing by three. In that process, all but the first and last resonance
positions cancel from the calculation. In effect, one might as well have not measured the middle two
resonances. There is nothing incorrect about such a procedure, but it loses some of the information
contained in the data. This shows that there is often more than one way to analyze data, but often one
technique gives more information than the others.
All the data contribute to the result if each wavelength is computed, not from the adjacent differences,
but from the differences between each resonance and the first resonance. The resulting equations for the
wavelength are given below. A subscript has been placed on the wavelength, but it is still understood
that each of the wavelengths, 11, 12, and 13, refer to the same wavelength calculated from three different
sets of resonances. The equations are
11 = 2(L2 – LI) iz = (L3 – L) is = 2/3(L4 – LI)
(Eq. 4)
The speed of sound in air has a slight linear dependence on the air temperature for a limited range
of temperature. The speed of sound Vs at a temperature of TC will be determined from
Vr = (331.5 +0.607T)m’s
(Eq. 5)
CALCULATIONS
1. Use Equation 5 to calculate the accepted value of the speed of sound from the measured room
temperature. Record it in Data Table 1.
2. Calculate the mean and standard error of the three trials for the location of each of the resonances.
Record each of the means and standard errors in Calculations Tables 2 and 3.
3. Use Equations 4 to calculate the wavelengths that are appropriate. If four resonances were found, then
all three values of i can be determined. If only the first three resonances were measured, then only
two values of i can be determined. If this is the case, just leave the Calculations Table blank at the
appropriate position. Use the mean values of the lengths to calculate the wavelengths.
4. Calculate the mean and standard error for the number of independent wavelengths measured for each
tuning fork. Record those values in the Calculations Tables as 7 and
5. From the values of and the known values of the tuning for frequencies, calculate the experimental
value for V, the speed of sound,
6. Calculate the percentage error of the experimental values of V compared to the accepted value of the
speed of sound in Data Table 1.
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TIL
Doa
where T is the temperature in °C.
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5. What are the conditions that must be satisfied to produce a standing wave in a tube open at one end
and closed at the other end?
Name
Sate
Dan
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LABORATORY 22 Speed of Sound-Resonance Tube
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6. For an ideal resonance tube an antinode occurs at the open end of the tube. What property of real
resonance tubes slightly alters the position of this antinode?
PRE LABORATORY ASSIGNMENT
1. What is the equation that relates the speed V, the frequency f, and the wavelength i of a wave?
FERIDIEN 1999
7. A student using a tuning fork of frequency 512 Hz observes that the speed of sound is 340m/s. What is
the wavelength of this sound wave? Show your work
2. How are standing waves produced?
3. What name is given to a point in space where the wave amplitude is zero at all times?
8. A student using a resonance tube determines that three resonances occur at distances of L=0.172 m,
L2=0.529 m, and Lg=0.884 m below the open end of the tube. The frequency of the tuning fork used is
480 Hz. What is the average speed of sound from these data? Show your work.
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4. What name is given to a point in space where the wave amplitude is a maximum at all times?
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Physics Laboratory Mawl
Loyd
Name
Set
DAN
La Pas
SAMPLE CALCULATIONS
1. Speed Sound – 3315+0,607 T =
2.11 = 2L2-L)
3. iz=(L3-4)=
l=2/3L-Ly)=
5. V = 7
6. % Error = E-K/K (100%) =
22
LABORATORY 2 2 Speed of Sound-Resonance Tube
229
LABORATORY REPORT
QUESTIONS
1. What is the accuracy of each of your measurements of the speed of sound? State clearly the evidence
for your answer.
Data Table 1
Room Temperature
Speed of sound
m/s
Data Table 2
Data Table 3
Frequency Fork One
Hz
Hz
Frequency Fork Two
(m)
L2 (m)
(m)
L2 (m)
L (m)
L4 (m)
L (m)
(m)
2. What is the precision of each of your measurements of the speed of sound? State clearly the evidence
for your answer.
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Calculations Table 2
TE
m
T.
m
LA
m
LA
m
21
m
L2=
m
23 =
m
m04
is = 2/3(L4-L)
miz=(L-L) –
m
m
2 = 2L2-L)
i=
3. Equations 2 provide a means to determine the end correction for the tube. Using the value of ?
for the first tuning fork, calculate values for L and L2 from those equations. They should be larger
than the measured values of L, and L2 by an amount equal to the end correction. Repeat the
calculation for the second tuning fork. Compare these values for the end correction and comment on
the consistency of the results.
m
m V = =
m’s
% Erra
Calculations Table 3
m
T2=
m
T3 =
m
LE
m
1 =
m
L2=
m
m
214 =
m
COPYRIGHT © 2008
m
iz=(1-1)=
m
i3-2/3L4-L)=
m
=2(L2-4)=
XE =
m
2=
m
v==
m/s
% Err
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Laboratory 22 Spand of Saud Resore Twe
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4. Suppose that the temperature had been 10°C higher than the value measured for the room tempe-
rature. How much would that have changed the measured value of L2-Lfor each tuning fork?
Would L2-L, be larger or smaller at this higher temperature?
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5. Draw a figure showing the fifth resonance in a tube closed at one end. Show also how the length of
the tube Ls is related to the wavelength i.
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