Quiz 1, February 2015 Name: A
1) Which is NOT a longitudinal wave
® A standing wave on a guitar string.
B) The sound wave we hear from a guitar string
C) A standing wave in an organ pipe
Yrg D) The sound wave we hear from an organ pipe
B) More than one of
Quiz 2, February 2015 Name: a l" S O l\
Amp Amp Amp
1 E 1 '
0.5 0.5 0.5
r (Hz) f (Hz) f (Hz)
200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000
Amp Amp Am
I E I E n P a
0.5 0.5 05
r (Hz) f (Hz) r (Hz)
200 400 600 800 1000 200 400 600 800 1000
Physics and Music Homework 1 Solutions
1) Based on your reading, in what ways do the models of waves we have looked at (and in
particular the stadium wave) accurately represent how sound waves travel through air
particles? In what ways do these models fai
C21/L&S C70W
Physics and Music - Fourier Synthesis
2/20/15
1) Add the 2 harmonics to find the final pattern. What can it represent?
2) Can you tell what harmonics (+ amplitude) are present in this signal?
3) Sketch the combined displacement envelope of a
Lesson 30: Gravitational Field Strength
In the last lesson we were able to combine our two formulas for force due to gravity to get a new
formula.
Fg=F g
Gmtest Me
mtest g=
2
r
GM
g= 2 e
r
The great news is that the mass (shown above as the mass of the Ea
Lesson 27: Gravity on Inclined Planes
You need to be especially careful when you are doing problems involving gravity pulling something
down a slope.
The physics involved is considerably more complex than it might first seem, mostly because
everything is
Lesson 6: Manipulating Equations
Manipulating equations is probably one of the most important skills to master in a high school physics
course.
Warning!
Although it is based on familiar (and fairly simple) math
Do not use any methods like
concepts, it is
Lesson 57: Pascal's Principle (AP Only)
Imagine that you have a container of fluid.
From what we've learned so far, we know that the pressure the fluid exerts on the sides of the
container is the same everywhere.
If they were not, the fluid would no long
Lesson 26: Friction
Friction is a force that always exists between any two surfaces in contact with each other.
There is no such thing as a perfectly frictionless environment.
Even in deep space, bits of micrometeorites will hit a moving object, causing
Lesson 2: Precision and Accuracy
In everyday language "precise" and "accurate mean roughly the same thing. but not in physics.
Precise - after taking a lot of measurements, you notice that they are all very close to each other.
Accurate - after taking a l
Lesson 4: Scientific Notation
In the last section you learned how to use sig digs in your calculations.
What do you do if you multiply numbers like 537 x 269 = 144 453. you are supposed to only
have three sig digs, but your answer sure has more than three
Lesson 60: Bernoulli's Equation (AP Only)
Bernoulli's Equation looks at the pressure at two different locations in a moving fluid.
It is really intimidating when you first see it, but it's not as bad as it might look.
1
1
P 1 g y 1 v 21=P 2 g y 2 v 22
2
2
Lesson 58: Pressure in Static Fluid Columns (AP Only)
If you've ever done any deep diving underwater, you'll know about the effects it has on your body.
Most people get the basic idea that as you go deeper underwater, the pressure increases. It's why
it i
Lesson 24: Newton's Second Law (Motion)
To really appreciate Newtons Laws, it sometimes helps to see how they build on each other.
The First Law describes what will happen if there is no net force.
The Second Law describes what will happen if there is a
Lesson 7: Graphing
Graphing is an essential skill for both Physics 20 and 30. You MUST be able to follow all of the rules
of properly drawing a graph, and also be able to do basic interpretation of graphs.
When you are presented with a chart of numbers th
Lesson 59: Principle of Continuity (AP Only)
We've spent a lot of time so far looking at hydrostatics, fluids at rest.
Even when we looked at problems with moving fluids (like Pascal's Principle), you would not
describe the fluid as flowing, like water th
Lesson 5: Expressing Error in Measurements
Causes of Error in Experiments
Anytime an experiment is conducted, a certain degree of uncertainty must be expected. There are
basically three reasons you might have an error in a measurement.
1. physical errors
Lesson 25: Newton's Third Law (Action-Reaction)
Newton came up with one more law when he started thinking about the interaction of objects.
He had already talked about what happens when there is no net force (1st Law).
He then talked about what happens
Lesson 29: Newton's Law of Universal Gravitation
Let's say we start with the classic apple on the head version of Newton's work.
Newton started with the idea that since the Earth is pulling on the apple, the apple must also be
pulling on the Earth (Newto
Lesson 3: Significant Digits
Scientists take the ideas of precision and accuracy very seriously.
You can actually take entire courses in University that show how to figure out the precision and
accuracy of measurements.
Guess what? I took 'em!. your opin
Lesson 22: Net Force
The net force is the vector sum of all the forces acting on an
object.
If the forces are parallel we can just add them
together as positive and negative forces.
If the forces are at an angle we have to add them as
components of vect
Lesson 56: Pressure (AP Only)
Although we don't think about it, we live at the bottom of a roughly 100 km deep sea of air.
Air is made of molecules, so it has mass. Under the effect of gravity, it quite literally weighs
down on us every single moment of o
Friday, Feb. 27, 2015
Discussion 6.3
1. The Fourier transform of a wave is given below. Draw the
corresponding time domain wave on the graph to the right. A
reference wave is already drawn to he
L&S 70A 3/6/15
Physics and Music Transfer Functions & Fourier analysis
1) Sketch (i) the steady-state spectrum of a harmonic instrument (show at least 4 or 5
harmonics), (ii) the same spectrum during the attack, (iii) the same spectrum during the
decay, (
Physics and Music Section 5 Lecture Notes
Grand Piano
What makes it possible for a piano to play different notes?
Where is the lowest/highest pitch? Why?
How would you ensure 7 octaves if you can only change the strings length?
Answer
Each key is associat
Class Demo: The Violin
I felt that the section explaining the motion of a string being bowed (M.T.,
pg.120) was rather unclear, particularly in the discussion of its relationship to moving and
static friction. As for the diagram on the following page, it
Physics and Music Homework 3 Solutions
1) In this reading youve learned that a single instrument can vibrate at multiple resonant
frequencies at the same time. For this assignment, explain using the appropriate jargon
how two different instruments with th
Physics and Music Homework 2 Solutions
1) What characteristic of a sound wave determines the pitch we perceive it to have? What
different factors of the vibrating object (e.g. string length) may alter its pitch? Hint: think
of how you alter the pitch of a
HOMEWORK SET 2, PHYS. 131 Solutions originally by Matt Pillsbury Instructor: Anthony Zee Email: zee@kitp.ucsb.edu TA: Kevin Moore Email: kmoore@physics.ucsb.edu 5.4. Work out the components of the four-vector a du/d in terms of the three-velocity V and th
FINAL EXAM, PHYSICS 131, Jun 6, 2008 Instructor: Anthony Zee TA: Kevin Moore Please hand your completed exam to Kevin Moore at 5 PM on Monday. Alternatively, you may email a completed exam to him, or place your exam in a sealed envelope and place it in hi
Lesson 1: The Metric System
Ask someone how tall they are and they'll probably tell you in
feet and inches.
This is surprising given that we are a metric country, but
it is a traditional way of describing peoples' heights that
has stayed with us.
So why d