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### Lecture 22 Physics of Music

Course: PHYS 100, Fall 2009
School: Rochester
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of Physics Music (Lecture 22) Sound velocity V Vel V V(air) = 345 meters/second 1 Repeat every T seconds 3 2 1 L = distance L = VT Frequency f is # times each second f = 1/T 2 Sinusoidal shapes amplitude A wavelength Basic equation of waves frequency* V wavelength= f*L = V 3 How do 2 waves combine? A = A1+ A2 Intensity I I = (A1+ A2) If A1 = - A2 then 2 I=0 4 Standing Waves Vel ? /2 Length L 5...

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of Physics Music (Lecture 22) Sound velocity V Vel V V(air) = 345 meters/second 1 Repeat every T seconds 3 2 1 L = distance L = VT Frequency f is # times each second f = 1/T 2 Sinusoidal shapes amplitude A wavelength Basic equation of waves frequency* V wavelength= f*L = V 3 How do 2 waves combine? A = A1+ A2 Intensity I I = (A1+ A2) If A1 = - A2 then 2 I=0 4 Standing Waves Vel ? /2 Length L 5...

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Rochester - PHYS - 100
Physics of Music (Lecture 21) Sound velocity VVel VV(air) = 345 meters/second1PhysicsSoundHuman Range 40-18,000 Hz240-5,000 HzMusic3Repeat every T seconds3 2 1L = distance L = VTFrequency f is # times each second4f = 1/T
Berkeley - CS - 276
U.C. Berkeley - CS276: Cryptography Luca TrevisanHandout N8 (Draft) February 12, 2009Notes for Lecture 8 (Draft)SummaryLast time we described a secure MAC (message authentication code) based on pseudorandom functions. Its disadvantage was the
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Physics 170 Autumn 2004/2005 Homework Assignment #1Due date: Tuesday, September 14, 2004As with all handwritten homework and exams in this class, you must show your work and explain your answers in order to receive full credit. Please submit
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Name:_ Lab Partners:_ Physics 170 Lab #1 MATERIALS: PVC pipe used for speed of sound (same tube will be shared by all groups) rubber stopper for end of PVC tube 2-meter stick ruler small beaker 100 ml graduated cylinder motion detector LabPro interfa
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Lab Partners:Physics 170 Lab #1Introduction to Uncertainties, Graphical Analysis and LoggerProPart I: Errors and Uncertainties - Speed of Sound Measurement 1.) [Group] Figure out how you're going to determine the speed of sound from the graph a
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Name:_ Lab Partners:_ Physics 170 Lab #2 MATERIALS: motion detector LabPro interface vernier calipers air track, blower and glider with &quot;flag&quot; riser blocks RESOURCES: Chapter 2 of the text (Giancoli) PRELIMINARY QUESTIONS: You must complete these pre
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Lab Partners:Note - Please ONLY SAVE documents to an external device, OR to the DESKTOP of your computer. Physics 170 Lab #2 Part 1. Acceleration of the glider 4. We want to look at the relationship between the acceleration of the glider and the an
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Lab Partners: PHY 170 Lab # 3TERMINAL VELOCITYI. VELOCITY DEPENDENCE OF AIR RESISTANCE 5. [Group] Come up with a method to determine a value for the terminal velocity from your graph. Explain in words your method of determining the terminal veloc
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Lab Partners:Physics 170 Lab # 4VECTOR ADDITION AND ROTATIONAL EQUILIBRIUMPART II. NON-CONCURRENT FORCES ROTATIONAL EQUILIBRIUM 1. [Group] Hang 0.100 kg at the 0.10 m mark of the meter stick. Bring the system into equilibrium by pressing down
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Name _ Lab Partner(s) _ Physics 170, Experiment #5 - NEWTON'S 2ND LAW: FORCE, MASS AND ACCELERATION The motion of a glider on a level air track is first observed in the following way. The glider and attached masses have a total mass M. A small mass m
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Lab Partners: PHY 170 Lab # 5 NEWTON'S 2ND LAW: FORCE, MASS AND ACCELERATIONPart I. Constant Total Mass Analysis 1.) [Group] Using Graphical Analysis, construct a graph of acceleration versus the applied force, mg. Make sure to label your axes and
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This worksheet will allow you to do a numerical calculation of the acceleration of the glider pulled by a variable force. Enter your values for the mass of the glider and chain, number of links in your chain, and length of your chain. The proper equa
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Lab Partners: PHY 170 Lab # 6 WORK AND ENERGYPart 2. Work Done by a Constant Force. Please enter this data in both the group and individual reports. M, mass of glider: _ m, mass of &quot;small mass&quot;:_ 1.) [Group] Is the acceleration of the glider const
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Lab Partners: PHY 170 Lab # 7 COLLISIONS: MOMENTUM AND ENERGYDATA COLLECTION AND ANALYSIS 3. [Group] Perform one final elastic collision, but this time for a case in which both gliders have nonzero initial velocities. Describe this elastic collis
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Name _ Lab Partner(s) _ Physics 170 MATERIALS Beck brand ballistic pendulum with ball Ruler Fiberboard squares REFERENCES Giancoli, Chapter 9. Resource Guide for Physics 170, Appendix A (the &quot;gold&quot; handout) GOALS: The goal of the experiment is to det
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Lab Partners: PHY 170 Lab # 9ROTATIONAL INERTIAPart II. Determination of the Retarding Frictional Torque. 1. [Group] Print out a copy of the graphs. Is the acceleration of the falling mass constant? Explain your answer by referring to your grap
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By: Jennifer FaganThe planet is approximately 71% water. It contains 5 oceans, including the Arctic, Atlantic, Indian, Pacific and Southern.As water flows in rivers, it picks up small amounts of mineral salts from the rocks and soil of the rive
Table II Binomial Distribution Cumulative Tablesa. k n= 5 0.01 0.05 0.1 0.2 0 0.951 0.774 0.590 0.328 1 0.999 0.977 0.919 0.737 2 1.000 0.999 0.991 0.942 3 1.000 1.000 0.993 4 1.000 5 n= 6 0.01 0.05 0.1 0.2 0 0.941 0.735 0.531 0.262 1 0.999 0.967 0.
Table IV. Cumulative Poisson Distributionk 0 1 2 3 4 5 6 0.1 0.905 0.995 1.000 1.000 0.2 0.819 0.982 0.999 1.000 0.3 0.741 0.963 0.996 1.000 0.4 0.670 0.938 0.992 0.999 1.000 Lambda 0.5 0.607 0.910 0.986 0.998 1.000 0.6 0.549 0.878 0.977 0.997 1.000
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Future value of \$1 compounded annuallyYears to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 1.0400 1.0816 1.1249 1.1699 1.2167 1.2653 1.3159 1.3686 1.4233 1.4802 1.5395 1.6010 1.6651
Present value of a dollar in n years, compounded annuallyYears to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 0.9615 0.9246 0.8890 0.8548 0.8219 0.7903 0.7599 0.7307 0.7026 0.6756 0.
Future value of \$1 compounded monthlyYears to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 1.0407 1.0831 1.1273 1.1732 1.2210 1.2707 1.3225 1.3764 1.4325 1.4908 1.5516 1.6148 1.6806 1
Present value of a dollar in n years, compounded monthlyYears to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 0.9609 0.9232 0.8871 0.8524 0.8190 0.7869 0.7561 0.7265 0.6981 0.6708 0.6
Future value of \$1 annual Sinking Fund compounded annuallyYears to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 1.0000 2.0400 3.1216 4.2465 5.4163 6.6330 7.8983 9.2142 10.5828 12.0061
Present Value of \$1 Annuity at Rate r for n Years Interest Rate in percentn\r 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 1 0.9901 1.9704 2.9410 3.9020 4.8534 5.7955 6.7282 7.6517 8.5660 9.4713 10.3676 11.2
Future value of \$1 monthly Sinking Fund compounded monthlyYears to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 12.2225 24.9429 38.1816 51.9596 66.2990 81.2226 96.7542 112.9185 129.74
Present Value of an annuity to pay \$1 per month.Years to Maturity1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Rate in Percent4.0 11.7831 23.1050 33.9837 44.4365 54.4801 64.1305 73.4031 82.3128 90.8737 99.0994 1
The annual payment on an installment loan (mortgage) of \$1 Interest Raten \ r 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 4.0% 1.0400 0.5302 0.3603 0.2755 0.2246 0.1908 0.1666 0.1485 0.1345 0.1233 0.1141 0.1066 0
The monthly payment on a \$1000 installment loan (mortgage) Interest Raten \ r 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 4.0% 85.1499 43.4249 29.5240 22.5791 18.4165 15.6452 13.6688 12.1893 11.0410 10.1245 9.376
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#! /usr/bin/perlprint &quot;Content-type: text/html\n\n&quot;;if (\$ENV{&quot;REQUEST_METHOD&quot;} eq &quot;POST&quot;) { read(STDIN, \$datastring, \$ENV{&quot;CONTENT_LENGTH&quot;});}elsif (exists \$ENV{&quot;REQUEST_METHOD&quot;}) {# data from GET transaction (or HEAD or other) \$datastri
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Uni. Westminster - NPH - 0215
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Uni. Westminster - NPH - 0215
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Uni. Westminster - NPH - 0215
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Uni. Westminster - NPH - 0215
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