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Unformatted text preview: Welcome! . Plan for today:
 Introductions Descriptionofthecourse oRevlew of syllabus
 Clickers . Web sites and homework (Webassign)
 Labs and recitations Exams and Grades
 Chapterl (Units. Trigonometry. and Vectors) I am Josh . 8.8. in physics (Stetson) . PhD. in astrophysics and planetary
sciences (University of Colorado) . Studying:
 Satum's rings with the Cassini spacecralt  Formation of planets through computer
simulations and microgravity experiments . At UCF since 2007. Associate Professor of
Physics. Syllabus . The hardcopy syllabus has essential
dates and information.
. The electronic version of the syllabus will always be the ofﬁcial. uptodate version. it
is available here: — on WebAssign (details to follow) 0" ”Mam ”wwwmle breakdown and  0" “mums percentages and grade
. Read the syllabus! scale updated since syllabus printed. Course Objectives, Or, Why Am I
Learning About How Fast a Wheel Rolls
Down a Hill? . UCF is making you take the class;
. You will learn useful things;  Physics is easier than biology:  it's a great practice environment for the
scientific method and quantitative
reasoning;  this is exercise for your problemsolving
abilities. Clickers . Get an lCIicker  iClicker2 will work, but not required:
iCIicker (1) is okay for his course, but you
may want iClicker2 for other courses and
its nicer interface. 0 Register your iCIicker with your NID
_ . I'
 We will use them starting Thursday 0 Read and sign your clicker contracts and
turn them in (not required today). Homework 0 Homework will be done on most
. WebAssign class key is: net 7431 6802 0 First homework on chapter 1 is available
starting at the end of class today. due a
week from Thursday. . See the WebAssign quickstart guide for
more details. Lectures and Labs 0 You have 3 peopletodeal with. 0 You get one grade for PHY 2053. Your lab
grade makes up part of your overall grade.  Labs are run by your GTA. Your GTA will calculate the lab portion of your grade and
give that to me.  The ﬁrst half of your lab is a problem solving
session with instruction from a faculty member. This includes a 20 minute quiz that
is part of your lab grade. About Lectures I will give a 3minute break in the middle of
each class. Clicker questions (and the break) are your
times to talk. Otherwise, raise your hand (or
text me!) ifyou have a question and please
do not disturb class or your neighbors. I will do demonstrations as often as
possible. . I will work through a lot of examples. 0 You can text me a question during class:
4803823749 (4803 UCF PHY) About Notes I’ll make PDFs of the presentation slides
available before class on webcourses. The
actual slides may differ from these
preliminary slides. You can print these and make additional
notes on them if you like. I may experiment with posting podcasts of
lectures. I will scan and post examples worked out
in class to webcourses as well. 9 Chapter 1 Introduction and Mathematical
Concepts
(Units, Trig, and vectors) 1.1 The Nature «Physics Physics predicts how nature will behave
in one situation based on the results of
experimental data obtained in another
situation. It is an empirical science. If an
observation or experiment violates a
theory, the theory must be revised or
discarded 1.2 Unit. Physics experiments involve the measurement
of a variety of quantities. These measurements should be accurate and
reproducible. The first step in ensuring accuracy and
reproducibility ls defining the units in which
the measurements are made. SI units meter (m): unit of length Q kilogram (kg): unit of mass second (s): unit of time 1.2 Units 1 Mr standard 1 kilogram standard How does one capture a time
standard? . Time standard based on the duration of a
constant periodic motion or phenomenon . Originally the second was deﬁned based
on the length of a day. But days turn out
not to be all the same.  Quartz clocks work on natural oscillations
of quartz crystals.  Best clocks today work on the natural
frequencies of atoms (atomic clocks). (11mm (cm)
Gram Isl The units for length, mass. and time (as
well as a few others). are regarded as
base SI units. These units are used in combination to
define additional units for other important physical quantities such as force and
energy. 1JDOMNMMMW mu ammoaloe
“We'v— Fm ‘é loI:
In"
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Io:
lo'
10 '
l0 3
m ‘
l0 ‘
l0 '
I0 I.‘
lo M ‘I:.r.c.i.'vzco Mumlunch; «an.
mu.“ 1JDOMNMMMW Reasoning Strategy: Units and Problem Solving 1. In all calculations. write down the units explicitly.
Don't write a number without writing the units
that go with it. 2. Treat all units as algebraic quantities. When identical units are divided. they are eliminated algebraically. 3. Uselheconversionfactorslocatedonthepage facing the inside cover. Be guided by the fact that multiplying or dividing an equation by a factor of 1 does not alter the equation. 1JDOMNMMMW THE CONVERSION OF UNITS Length: 1 inch is exactly 2.54 centimeters Q Some examples on working with units... So. how many kilomemrs in a mile? inmmuymmwwmmm ho = length of side
opposite the
angle 0 h. = length of side
adjacent to the angle 0 RunemberthatthewmoftheSangleehatnangle= 180 dogmas.
So. «9090:180. «040. «908. hoslengthotslde h
cosO =—i
h opposite the
ande 9 h, I length at side adjacent to the ante 0 tame1’2 Notice that to: a and 6. opposite and adjacent h.
sides are muted. Therefore. etne=coea and coaO=elna. Tnangleehaveaaldeeands
angleleweknwanysof
thoee6numbere.wecenget
theothera. Example: measuring the
helght of a bulldlng. tanOh—° 1!.
67.2m
ho  tan 50°(67.2m) 80.0m tan50° 1.4 mm Howdomgetanendeifweknawmesides?
Byushginvetsetrigonometrichnctims. ho  length 01 side 1
opposite the 0 I COS
owe a It, = length at side
adjacent to the angle a slrr‘ is sometimes written arcsln or asin ho = length of side
opposite the
angle 0 h. = length of side
adjacent to the angle 0 1.5 Sedan and Vecm A scalar quantity is one that can be described
by a single number: temperature, speed. mass, energy A vector quantity deals inherently with both
magnitude and direction: velocity. force. acceleration, displacement
So we need ways to do calculations with
vectors in order to understand motion and forces. 1.5 Seniors and them Arrows are used to represent vectors. The
direction of the arrow gives the direction of
the vector. By convention. the length of a vector
arrow is proportional to the magnitude of the vector. 8mls
4mls \ Whiloaacaiarquwty amamwaummtm
m)nmmmemwrwom
(andunls). 1.6 MAW and Subtncdon Oﬂen it is necemary to add one vector to another. 1.0 MAW and Subtraction In gemml. we’ll be doing vector
math with our calculates. but
you should always start with a drawing. 3m N W * E
ﬁnish
S
i
ll
_ A 9 90;
s K  1M Use the pythagonan
moonm to calculate the magnitudeoflt tallloohud —" 1.0 MAW and Subtraction R2  (2.00 m)’ + (6.00 m)’ R  ‘}(2.00 m)’ + (6.00 m)‘  6.32m “mammm
mummmwmmdn tanO  2.00/6.00 e  tan"(2.00/6.00)18.4° Finishing up vedors... Whenewctoriemmd
oyr.mmmmno
vedonemmmeaemeJu
mmummrs rammed. Subtracting a wear is just
adding the negative of that
vector. The negative of a
vector ls just the vector
pointing In the opposite
direction. 1.7mmolewm N
w * a
5
Start ‘x’ I andierethexendyoomponentsofthevectorl'.
They are 'components' because they are
perpendicular. There is one component for each
dimension of the problem. 1.7MCMiponmoleVbcter It is otten easier to work with the scalar components
rather than the vector components. A. and AV are the scalar
compomntsofthevectorA. We use'unitvectors' in thexandy
directions with length 1 so that
A: AA +A,y The 'hat“ denotes unit vectors. 1.7MCMiponmoleVbcter Vector and Vector Component Summary . Any vector can be expressed as the sum
of two perpendicular vectors, called the
components of that vector. . For twodimensional problems. we can
have those components be along the x
and y axes of our coordinate system. . This reduces the vector to a right triangle,
which we can handle mathematically with
our trigonometry rules and the
Pythagorean theorem. to 1.7MCMiponmoleVbcter Eiremple Adisplacement wctor has a magnitude of 175 m and points at
an angle of50.0 degrees relative tothexaxis. Find thexandy
components at this vector. sine y/r
yrsinB (175mX§inso.0°)134m r c058 x/r
x rcosO (175mkosso.0°)112m i" = (112m)i + (134m)? 1.0Amn MW bylaw deompononu 1.0Amn MW bylaw deompononu C=A,i+Aj+Bli+Bj
C=(A.+B.)i+(A,+B,)y C,  A. + B, c),  A, + B' If you'd like for your Physics
professor to be in a good mood... . You might choose to vote for his daughter
Aylia Colwell to be cast in the web series
"Whatever" at:  httpszllwwwjaoeboolncomlquestionsl
179330425473271/ . AND at:
 http://ww.whatevertheseries.comlnola.php . You might even choose to share this with
your friends. 42 ...
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 Fall '08
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