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https://github.com/danbulant/notes
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vault backup: 2023-02-21 13:30:08
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9 changed files with 75 additions and 30 deletions
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@ -13,7 +13,7 @@
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@ -1102,7 +1102,7 @@
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@ -74,8 +74,8 @@
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@ -90,7 +77,7 @@
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@ -107,7 +94,7 @@
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@ -154,7 +141,7 @@
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@ -229,17 +216,17 @@
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@ -27,3 +27,20 @@ $Q_1\dot=276kJ$
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$W'=Q_1-Q_2$
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$Q_2=Q_1-W'$
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$Q_2=202kJ$
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---
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Plyn uzavřený v nádobě s pohyblivým pístem má objem $1m^3$, teplota $0\degree C$ a tlak $200kPa$. Jakou práci plyn vykoná, jestliže při stálém tlaku zvýšíme jeho teplotu na $20\degree C$
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Isobarický děj
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$W'=p*\Delta V=p(V_2-V_1)$
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$\frac{V_1}{T_1}=\frac{V_2}{T_2}\Rightarrow V_2=\frac{V_1}{T_1}*T_2$
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$W'=p(\frac{V_1}{T_1}*T_2-V_1)=pV_1(\frac{T_2}{T_1}-1)$
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$p=2*10^5$ ($200kPa$)
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$T_2=293K$
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$T_1=273K$
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$W'=2*10^5*1(\frac{293}{273}-1)=14650J$
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@ -103,3 +103,44 @@ $f_4(\frac\pi2)=2$
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$f_4(\frac\pi3)=1$
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---
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$h_3: y=sin(\frac{\pi}3-\frac14x)$
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$y=-sin(\frac14x-\frac\pi3)$
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$y=sin(\frac{x}4)$
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$\frac{x}4=\frac\pi2 \Leftrightarrow x=2\pi$
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$\sin(\frac{2\pi}4)=sin(\frac\pi2)=1$
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$[2\pi,1]$
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$\frac{x}4=\frac\pi2\Leftrightarrow x=-2\pi$
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$sin(-\frac{2\pi}4)=sin(-\frac\pi2)=-1$
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$[2\pi,-1]$
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---
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$h_5: y=\sin2\pi x$
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perioda 1
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s y se protne v x0
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obor hodnot: $\langle-1;1\rangle$
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---
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$y=sin(2\pi+x)$
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$y=sin(x)$
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s y se protne v x0
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obor hodnot $\langle -1;1\rangle$
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perioda $2\pi$
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---
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$y=\sin(\frac14x-\frac\pi3$)
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