Herein, you will find resources related to the following topics:
<1> what is physics?
<2> I am pursuing a __________ major -- how is physics relevant to my major in general?
<3> I am about to start my first physics course (general physics with calculus, part I) -- what skills should I focus on to help me in my field of study (______)?
<4> here's a link to a section in a textbook: https://openstax.org/books/university-physics-volume-1/pages/1-1-the-scope-and-scale-of-physics -- summarize the authors' thoughts on the scope and scale of physics.
Physical quantities
Relationships
Physical
Re: nature
Numerical representation
+
Precision
+
Unit
Quantity
Decimal Notation
Scientific Notation
Engineering Notation
Read the section "The Scale of Physics"
and pay attention to what scientists mean by "orders of magnitude"
✅ Accuracy in Physics
🎯 Precision in Physics
In the context of physics, what are the main differences between the terms "accuracy" and "precision"?
Accuracy
Refers to how close a measurement is to the true or accepted value.
Precision
Refers to how consistent repeated measurements are, regardless of how close they are to the "true" value.
| Scenario | Description |
|---|---|
| Accurate & Precise | Arrows are tightly grouped and near the bullseye. |
| Precise but Not Accurate | Arrows are tightly grouped but far from the bullseye. |
| Accurate but Not Precise | Arrows are spread out but average near the bullseye. |
| Neither Accurate nor Precise | Arrows are spread out and far from the bullseye. |
Summary
| Accuracy | Precision | |
|---|---|---|
| Definition | Closeness to the true value | Consistency of repeated measurements |
| Focus | Systematic error | Random error |
| Instrument Role | Calibration affects accuracy | Resolution affects precision |
| Example | A scale reads 1.00 kg for a 1.00 kg mass | A scale gives 1.00 kg every time, even if the mass is 0.95 kg |
✅ Significant digits in Physics
In the context of physics, ... ?
In the context of physics, significant figures (or significant digits) refer to the digits in a measurement that carry meaningful information about its precision. They help communicate how accurate and reliable a measurement is, based on the tools and methods used to obtain it.
| Non-zero digits | are always significant. | 123 has 3 significant figures. |
|---|---|---|
| Zeros between non-zero digits | are significant | 1002 has 4 significant figures |
| Leading zeros (i.e. before the first non-zero digit) | are not significant | 0.0045 has 2 significant figures |
| Trailing zeros in a number with a decimal point | are significant | 45.00 has 4 significant figures |
| Trailing zeros in a whole number without a decimal point | may or may not be significant | 1500 could have 2, 3, or 4 significant digits --expressing it in scientific notation can reveal e.g. 1.50 x 10^3 or 1.500 \x10^3 |
🔄 Significant Figures in Calculations
History of the SI system, from inception to 2018.
Pre and post 2018 (most recent change.)
Current SI base units, and the physical constants that define them.
How is the meter defined?
On June 1st 2020, I watched the live stream of the Crew Dragon Demo-2 launch; the first crewed orbital spaceflight launched from the United States since the final Space Shuttle mission, STS-135, in 2011.
As I saw the numbers climb on the counters in the bottom left corner of the video feed, indicating ever-increasing speeds in units of KM/H and altitude in units of M, I saw yet another example of how technology amplifies human action: in this case allowing us to travel vast distances at great speeds, compared to our own ability to travel unaided by technology.
Launch @4:22:00
In the midst of a global pandemic caused by a novel coronavirus, some of the conversations surrounding the efficacy of masks involved discussion of particulate matter (PM) sizes -- here's an infographic showing relative sizes of particulates.
How do we know the sizes of these objects?
This is yet another example of technology amplifying our ability to resolve small things.
To detect objects on the scales depicted in the graphic, for example, we use an optical or an electron microscope, to resolve objects we are otherwise unable to resolve with our unaided vision.
The scales of lengths and times and mass we are able to resolve are vast, and therefore we require a good system to keep track of these ranges. Watch the following video, and read about prefixes in Section 1.2
✅ Prefixes
|
Power of 10 |
name | symbol | example |
|
-12 |
pico | p | Atomic radius (~0.1 pm) |
| -9 | nano | n | DNA width (~2 nm) |
| -6 | micro | µ | Bacteria (~1 µm) |
| -3 | milli | m | Raindrop (~1 mm) |
| -2 | centi | c | Stamp size (~1 cm) |
| +3 | kilo | k | Car mass (~1,000 kg) |
| +6 | mega | M | City power usage (~1 MJ) |
| +9 | giga | G | Data storage (~1 GB) |
| +12 | tera | T | Global data (~1 TB) |
In the context of physics, what are the most commonly used prefixes? give examples
I recall an incident from back in 1999 ...
When NASA lost a spacecraft!
To master the skill of unit conversion, you should check off the following:
proceed through the presentation to be able to check off these skills!
| What are conversion factors, and where to find them. | |
|---|---|
| How to use conversion factors properly to convert from one unit to another. | |
| How to properly do unit conversion of squares and cubes. |
First, read these few paragraphs about unit conversion from the textbook.
Watch this video for more information on conversion factors, and how to use them in multiple examples.
Tables in Appendix C with some common conversion factors. In case you need them.
Watch this video to learn how to convert unit-combinations
Watch this video to learn how to convert area and volume
Physical quantities
Relationships
Read the section "Building Models"
and pay attention to what scientists mean by "Law" and "Theory"
Relationships
principles, laws, models, etc...
force
It is also clear to us that some physical quantities are not completely well defined unless their direction is specified
For example, traveling due north is not the same as traveling due south
And a push is not equivalent to a pull
velocity
relative position
velocity
force
Specified by Magnitude & spatial Direction
examples:
time interval
speed
temperature
Specified by Magnitude only
examples: