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Conversions of Units, Estimates, and Order of Magnitude Calculations: The Physics Lecture Series Chapter 1 Sections 4 and 5.

Hello internet, and welcome to the Algebra Lecture Series from The Science of Life.  This entry is focusing on conversion of units that you'll see in Physics, Chemistry, Biology, and all of science. Unit Conversion The previous Physics section allows us a mechanism to convert from one unit to another unit of the same type.  To do this, we take advantage of the equivalence between two values, and multiply with what is effectively equivalent to one.  For example, notice that 1hr=60min.  If we divide both sides by 1hr, we get $\frac{1hr}{1hr}=\frac{60min}{1hr}$.  In all of science, units such as seconds, meters, and kilograms can be canceled if in a quotient or squared if multiplied together, much like variables.  With that in mind, notice that on the left hand side, the hours cancel and the ones cancel, so that we have $1=\frac{60min}{hr.}, which makes sense since there are 60 minutes per hour.  This general concept applies to all conversion facto...

Dimensional Analysis: Newtonian Physics Lecture Series Lecture 1: Chapter 1 Section 3

This is a natural continuation of Chapter 1 Section 2 .  When we make models, we need to make sure that, when we run the numbers, the dimensions of the solution naturally make sense.  The word "dimension" in physics means something more general than the definition we are used to here in every day life.  We typically think of dimensions as length, width, and height; we do live in a three dimensional world, after all.  The word dimension in science means the units that we are working with.  This could be Distance (like length of a box), or is could be time (duration of a trip), or it could be mass (I weigh 15 stone).  The dimensions of density are kilograms per cubic meter (kg/m 3 ). When these dimensions are used in mathematical equations, they are treated as if they are variables we've seen in Algebra ; they can be canceled and squared like any other value in mathematics.  For example, if we have a room that is 20ft.×30ft.×15ft, then we multiply...

Matter and Model Building: Newtonian Physics Lecture Series Lecture 1: Chapter 1 Section 2

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This material comes from Chapter 1 Section 2 of the Newtonian Physics Lecture Series. If we cannot interact with matter directly, or if we want to make a prediction of a system before we build the system to test it, we draw up a model of the system related to the phenomenon in question.  Chemistry is a good example of this.  We cannot observe the molecules directly with our eyes, so we model the reaction with the known laws of physics and chemistry. Using these models, we predict the behaviors and results of the chemical reaction based upon the interactions between the components of the system or between the system and its surroundings.  The words "system" and "surroundings" will come up in this lecture series and have specific definitions, so I may as well define them now.  The "system" is everything under direct study in the moment we are studying it.  The surroundings are everything outside of the system, but still have an affect on th...

Standards of Length, Mass, and Time: Newtonian Physics Lecture Series Lecture 1: Chapter 1 Section 1

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Before we get into actual Physics, commentary must first be made about the foundations of all science, including physics.  The fundamental basis for all physics is the concept of units.  After all, when I say "The speed is 6", that is meaningless.  Am I talking about m/s, km/hr., miles/hr, knots?  Which units am I using? There is a system of measurement which has been around for centuries, but has been globally standardized for use in science since 1960 .  This system is called the Système international from the French, who was the first to widely adopt the concept shortly after their Revolutionary War against Britain.  The shorthand for this system is SI, and the fundamental units it uses for classical mechanics is the meter, the second, and the kilogram.  There are other fundamental units in Classical Physics, but those deal with either electricity or waves, and since those are covered in their own separate semesters, I'll cover those fundam...

Physics 180 Lecture Series Chapter 1 Introduction

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This is the introduction to chapter 1 of the Physics 180 Lecture Series, which will cover some of the basics required to succeed in full understanding of the subject of, well, any scientific subject, but for the purposes of this series, the success in Physics.   After all, physics is based on experimental observations which are used to derive mathematical formulation.  The main objective of the field of physics is to identify a limited amount of fundamental physical laws of nature and derive from those laws theories that can be used to predict the results of future experiments.  However, whenever experiment disagrees with theory, the theory must always be either altered or thrown out. Isn't that right Feynman? This physics course deals with what is called "Classical Physics", which is the physics of normal, everyday objects of normal, everyday sizes and masses, traveling at normal, everyday speeds.  Some text books (the one which I am referring for this ...

Physics 180 Lecture Series

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This is going to be the section which will cover Physics 180 - Newtonian Mechanics.  This is the physics of the macroscopic world, the world that most of us can see, touch, hear, taste, and smell.  Most physics define Newtonian Physics as the physics which has been discovered by 1900, but this feels too arbitrary for me.  The reason why it's the physics which has been discovered by 1900 is because we as a species have discovered the entirety of the physics of the macroscopic world by 1900, while the rest of physics (waves mechanics, Relativity, Quantum Physics, etc.) has yet to be discovered by this year.  With that in mind, while the "discovered by 1900" is an accurate definition as a time separator between the Newtonian and non-Newtonian classes, I still prefer the physical definition over the discovery date definition. When I speak of the physics of the macroscopic world, I am speaking of the motions of these objects and the energy and forces associated ...