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# Chapter 26: Equations and Fundamental Concepts

Difficulty Level: At Grade Created by: CK-12

Simple Harmonic Motion and Wave Motion

TTsp=1/f=2πmk

vTP=λf=2πLg

fnfnfbeat=nv2L=nv4L=|f1f2|nodes at both ends(n is odd)node at one end

vsound=343m/s\begin{align*}v_{sound} = 343 \;\mathrm{m/s}\end{align*} (in air at 20C\begin{align*}20 \;\mathrm{C}\end{align*})

A note: 440Hz\begin{align*}440 \;\mathrm{Hz}\end{align*}

C note: \begin{align*}524 \;\mathrm{Hz}\end{align*}

D note: \begin{align*}588 \;\mathrm{Hz}\end{align*}

E note: \begin{align*}660 \;\mathrm{Hz}\end{align*}

G note: \begin{align*}784 \;\mathrm{Hz}\end{align*}

Fluids and Thermodynamics

Properties of Fundamental Particles

Radioactivity, Nuclear Physics, and Quantum Mechanics

Light

primary: Red, Green, Blue

secondary: Magenta, Cyan, Yellow

Electricity and Magnetism

(direction: RHR)

(direction: RHR)

(direction: RHR)

Point charges: \begin{align*}E(r) = k q / r^2\end{align*} and \begin{align*}V(r) = k q / r\end{align*}

\begin{align*}(k = 1/4\pi \varepsilon_o\end{align*} where \begin{align*}\varepsilon_o = 8.854 \times 10^{-12} \ C^2/\;\mathrm{N} \cdot\ \text{m}^2)\end{align*}

Electric Circuits

Name Symbols Unit Typical examples
Voltage Source \begin{align*}\triangle V\end{align*}
volt \begin{align*}(V)\end{align*} \begin{align*}9 \;\mathrm{V}\end{align*} (cell phone charger); \begin{align*}12 \;\mathrm{V}\end{align*} (car); \begin{align*}120 \;\mathrm{VAC}\end{align*} (U.S. wall outlet)
Resistor \begin{align*}R\end{align*}
Ohm \begin{align*}(\Omega)\end{align*} \begin{align*}144 \Omega (100 \;\mathrm{w}, 120v \;\mathrm{bulb});\end{align*} \begin{align*}1 k\Omega \;\mathrm{(wet \ skin)}\end{align*}
Capacitor \begin{align*}C\end{align*}
Farad \begin{align*}(F)\end{align*} RAM in a computer, \begin{align*}700 \;\mathrm{MF}\end{align*} (Earth)
Inductor \begin{align*}L\end{align*}
Henry \begin{align*}(H)\end{align*} \begin{align*}7 \;\mathrm{H}\end{align*} (guitar pickup)
Diode by type
none light-emitting diode (LED); solar panel
Transistor by type
none Computer processors

Equation Sheet

Mathematics

If \begin{align*}X\end{align*} is any unit, then \begin{align*}\ldots\end{align*}

If \begin{align*}ax^2 + bx + c = 0\end{align*}, then \begin{align*}\ldots\end{align*}

% difference = |(measured – accepted) / accepted | \begin{align*}\times 100\end{align*}%

vector dot product: \begin{align*}a \cdot b = ab \ \cos\theta\end{align*} (product is a scalar)---\begin{align*}\theta\end{align*} is angle between vectors

vector cross product: \begin{align*}a \times b = ab \ \sin\theta\end{align*} (direction is given by RHR)

Kinematics Under Constant Acceleration

Newtonian Physics and Centripetal Motion

Momentum and Energy Conservation

Rotational Motion

Astronomy

## Chapter Outline

### Chapter Summary

1. [1]^ License: CC BY-NC 3.0
2. [2]^ License: CC BY-NC 3.0
3. [3]^ License: CC BY-NC 3.0
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## Date Created:

Feb 23, 2012

Aug 10, 2015
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