I like to think about the cancellation in a few more steps, however I never write it down.
$$A=\pi r^2 = \pi \left ( \frac{C}{2\pi} \right )^2 = \frac{1}{4}\frac{\pi}{\pi\pi}C^2 = \frac{1}{4}\frac{1}{\pi}\frac{\pi}{\pi}C^2=\frac{1}{4}\frac{1}{\pi}(1)C^2= \frac{1}{4\pi}C^2$$
Coming from a guy who took the second semester of freshman physics and statistical mechanics at same time. I'd have to say it gets much harder but it's bearable. I had not had any modern physics and every other thing involved me reading a book on modern physics. Of the 5 classes I had last...
My situation is different than most people who come to this board; I think anyways. I'm currently in my 4th year of school and can complete my mathematics degree next May. I can also choose to stay one more year and complete a physics degree on top of the math degree.
However here's where I...
Homework Statement
Let a wire's tension increase quasi-statically from F_{1}\rightarrowF_{2}, with Young's Modulus Y, Cross-sectional Area A, and Length L. Find the work done
Homework Equations
F=\frac{YA}{L} *Delta L, tex having issues
W= Integral from L to L_2
The Attempt at a...
If someone could supply the code to plot this graph in Mathematica would be awesome.
Would also be best if it checked the y's at units of t {0,1,2,3...,inf}
y >= 340
Plot[100 (t) - 340 (t/2), {t, 0, 20}]
y< 340
Plot[100 (t) - 115 (t/2) , {t, 0, 20}]