SSM Figure 17-48 shows an air-filled, acoustic interferometer, used to demonstrate the interference of sound waves. Sound source S is an oscillating diaphragm; D is a sound detector, such as the ear or a microphone. Path SBD can be varied in length, but path SAD is fixed. At D , the sound wave coming along path SBD interferes with that coming along path SAD. In one demonstration. the sound intensity at D has a minimum value of 100 units at one position of the movable arm and continuously climbs to a maximum value of 900 units when that arm is shifted by 1.65 cm. Find (a) the frequency of the sound emitted by the source and (b) the ratio of the amplitude at D of the SAD wave to that of the SBD wave. (c) How can it happen that these waves have different amplitudes, considering that they originate at the same source? Figure 17-48 Problem 93.
SSM Figure 17-48 shows an air-filled, acoustic interferometer, used to demonstrate the interference of sound waves. Sound source S is an oscillating diaphragm; D is a sound detector, such as the ear or a microphone. Path SBD can be varied in length, but path SAD is fixed. At D , the sound wave coming along path SBD interferes with that coming along path SAD. In one demonstration. the sound intensity at D has a minimum value of 100 units at one position of the movable arm and continuously climbs to a maximum value of 900 units when that arm is shifted by 1.65 cm. Find (a) the frequency of the sound emitted by the source and (b) the ratio of the amplitude at D of the SAD wave to that of the SBD wave. (c) How can it happen that these waves have different amplitudes, considering that they originate at the same source? Figure 17-48 Problem 93.
SSMFigure 17-48 shows an air-filled, acoustic interferometer, used to demonstrate the interference of sound waves. Sound source S is an oscillating diaphragm; D is a sound detector, such as the ear or a microphone. Path SBD can be varied in length, but path SAD is fixed. At D, the sound wave coming along path SBD interferes with that coming along path SAD. In one demonstration. the sound intensity at D has a minimum value of 100 units at one position of the movable arm and continuously climbs to a maximum value of 900 units when that arm is shifted by 1.65 cm. Find (a) the frequency of the sound emitted by the source and (b) the ratio of the amplitude at D of the SAD wave to that of the SBD wave. (c) How can it happen that these waves have different amplitudes, considering that they originate at the same source?
Consider a image that is located 30 cm in front of a lens. It forms an upright image 7.5 cm from the lens. Theillumination is so bright that that a faint inverted image, due to reflection off the front of the lens, is observedat 6.0 cm on the incident side of the lens. The lens is then turned around. Then it is observed that the faint,inverted image is now 10 cm on the incident side of the lens.What is the index of refraction of the lens?
2. In class, we discussed several different flow scenarios for which we can make enough
assumptions to simplify the Navier-Stokes equations enough to solve them and obtain
an exact solution. Consulting the cylindrical form of the Navier-Stokes equations copied
below, please answer the following questions.
др
a
1 a
+
+0x-
+
+O₂
= Pgr
+ μl
18²v, 2 ave ²v₁]
az2
+
at
or
r de r
Əz
dr
ar
Vodvz
др
[18
+
+
+Or
+
+Vz
= Pgz
+fl
at
ar
r 20
ôz
ôz
dr
ave
дов
V,Ve
ave
+Or
+
+
= pge
at
dr r 80
Əz
+
az2
a.) In class, we discussed how the Navier-Stokes equations are an embodiment of Newton's
2nd law, F = ma (where bolded terms are vectors). Name the 3 forces that we are considering in
our analysis of fluid flow for this class.
др a 10
1 ve 2 av 2200]
+
+μ
or
42 30
b.) If we make the assumption that flow is "fully developed" in the z direction, which term(s)
would go to zero? Write the term below, describe what the term means in simple language (i.e.
do not simply state "it is the derivative of a with…
1. Consult the form of the x-direction Navier-Stokes equation below that we discussed in
class. (For this problem, only the x direction equation is shown for simplicity). Note that
the equation provided is for a Cartesian coordinate system. In the spaces below, indicate
which of the following assumptions would allow you to eliminate a term from the
equation. If one of the assumptions provided would not allow you to eliminate a
particular term, write "none" in the space provided.
du
ди
at
( + + + 매일)
du
ди
=
-
Pgx
dy
др
dx
²u
Fu
u
+ fl
+
ax2 ay²
az2
-
дх
-
Əz
1 2 3 4 5 6 7 8 9
Assumption
Flow is in the horizontal direction (e.g. patient lying
on hospital bed)
Flow is unidirectional in the x-direction
Steady flow
We consider the flow to be between two flat,
infinitely wide plates
There is no pressure gradient
Flow is axisymmetric
Term(s) in equation
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