From 8b501c7cf76ba2dd1facdc4867012480941bfd75 Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Mon, 19 Dec 2022 20:15:25 +0100 Subject: [PATCH] vault backup: 2022-12-19 20:15:25 --- .../obsidian-activity-history/data.json | 4 +- .../plugins/various-complements/data.json | 8 ++ notes/.obsidian/workspace.json | 30 +++--- notes/data/Pasted image 20221219193127.png | Bin 0 -> 6404946 bytes notes/data/Pasted image 20221219193816.png | Bin 0 -> 16831 bytes .../Pokus - Měření účinnosti varné konvice.md | 36 +++++-- notes/mat/Funkce/Funkce.md | 1 + notes/mat/Funkce/Logaritmus - Substituce.md | 102 ++++++++++++++++++ 8 files changed, 155 insertions(+), 26 deletions(-) create mode 100644 notes/data/Pasted image 20221219193127.png create mode 100644 notes/data/Pasted image 20221219193816.png create mode 100644 notes/mat/Funkce/Logaritmus - Substituce.md diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index edc71e8..03909b7 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -13,7 +13,7 @@ { "path": "/", "date": "2022-12-19", - "size": 942677 + "size": 945088 } ], "activityHistory": [ @@ -986,7 +986,7 @@ }, { "date": "2022-12-19", - "value": 1521 + "value": 3932 } ] } diff --git a/notes/.obsidian/plugins/various-complements/data.json b/notes/.obsidian/plugins/various-complements/data.json index 1f9fccc..07a6797 100644 --- a/notes/.obsidian/plugins/various-complements/data.json +++ b/notes/.obsidian/plugins/various-complements/data.json @@ -47,6 +47,14 @@ }, "showLogAboutPerformanceInConsole": false, "selectionHistoryTree": { + "162184": { + "162184": { + "currentFile": { + "count": 1, + "lastUpdated": 1671473001708 + } + } + }, "generated": { "generated": { "frontMatter": { diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json index 34fe470..79d6c8f 100644 --- a/notes/.obsidian/workspace.json +++ b/notes/.obsidian/workspace.json @@ -4,16 +4,16 @@ "type": "split", "children": [ { - "id": "95c0e75cff09fc32", + "id": "27ddf618e825dcc4", "type": "tabs", "children": [ { - "id": "ebc343413641e530", + "id": "aa230c7153f42ddb", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md", + "file": "mat/Funkce/Logaritmus - Substituce.md", "mode": "source", "source": false } @@ -77,7 +77,7 @@ "state": { "type": "backlink", "state": { - "file": "fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md", + "file": "mat/Funkce/Logaritmus - Substituce.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -94,7 +94,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md", + "file": "mat/Funkce/Logaritmus - Substituce.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -141,7 +141,7 @@ "state": { "type": "outline", "state": { - "file": "fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md" + "file": "mat/Funkce/Logaritmus - Substituce.md" } } }, @@ -201,17 +201,17 @@ "width": 300, "collapsed": true }, - "active": "ebc343413641e530", + "active": "aa230c7153f42ddb", "lastOpenFiles": [ - "fyz/Mechanika tekutin/Termodynamika/Termodynamická teplota.md", - "fyz/Mechanika tekutin/Termodynamika/Termodynamika.md", + "mat/Funkce/Logaritmus.md", + "mat/Funkce/Lineární lomené funkce.md", + "mat/Funkce/Logaritmus - Substituce.md", "fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md", "fyz/fyz.md", - "cjl/cjl.md", - "cjl/literatura/slohy/Preromantismus/Goethe.md", - "cjl/literatura/slohy/Reportáž.md", - "cjl/literatura/slohy/Preromantismus/Preromantismus.md", - "ONA/Úvaha - Rasismus.md", - "ONA/Rasy, Etnika, Národy.md" + "mat/Lomené výrazy/Lomené výrazy.md", 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a/notes/fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md +++ b/notes/fyz/Mechanika tekutin/Termodynamika/Pokus - Měření účinnosti varné konvice.md @@ -1,10 +1,15 @@ # Pokus - Měření účinnosti varné konvice -| č. měření | $t_1 (\degree C)$ | $t_v (\degree C)$ | $\tau (s)$ | $Q (J)$ | $P (W)$ | $n$ | -| --------- | ----------------- | ----------------- | ---------- | ------- | ------- | --- | +| č. měření | $t_1 (\degree C)$ | $t_v (\degree C)$ | $\tau (s)$ | $Q (J)$ | $P (W)$ | $n$ | +| ---------- | ----------------- | ----------------- | ---------- | ------- | ------- | ----- | +| 1 | 20.4 | 98 | 93 | 162184 | 1743 | 0.726 | +| 2 | 20.4 | 98 | 96 | 162184 | 1689 | 0.703 | +| 3 | 20.4 | 98 | 103 | 162184 | 1574 | 0.655 | +| aritm. pr. | | | | | 1668,666666666667 | 0,6946666666666667 | ![](Pasted%20image%2020221219180033.png) + -## Konvice +## Konvice Značka - Bosch $P_0=2400W$ @@ -17,11 +22,24 @@ $Q=mc(t_v-t)$ $P=\frac{Q}\tau$ $n=\frac{P}{P_0}$ -$Q=500*4180(98-20.4)$ -$Q=162.184 MJ=162184000J$ +$Q=0.500*4180(98-20.4)$ +$Q=162.184 KJ=162184J$ -$P_1=\frac{162184000}{93}=1743913,978494624$ -$P_2=\frac{162184000}{96}=1689416,666666667$ -$P_3=\frac{162184000}{103}=1574601,941747573$ +$P_1=\frac{162184}{93}=1743,913978494624$ +$P_2=\frac{162184}{96}=1689,416666666667$ +$P_3=\frac{162184}{103}=1574,601941747573$ -(zbytek v excelu přes výpočty v něm) \ No newline at end of file +$\eta =\frac{1743}{2400}=0,72625$ +$\eta =\frac{1689}{2400}=0,70375$ +$\eta=\frac{1574}{2400}=0,6558333333333333$ + +(zbytek v excelu přes výpočty v něm) + +## Závěr + +**Účinnost varné konvice nám vyšla:** 70% +**Jak vysvětlíte, že nám nevyšla účinnost 100%?** +ztráta v drátech, na světlo (dioda), na kontrolu ohřevu, ohřívá se i samotná konev mimo vodu + +## Vyhledejte a popište, na jakém principu a jak pracuje vypínací “mechanismus” varné konvice. +navitý drát, roztáhne se při teple, při roztažení sepne obvod a vypne konvici. \ No newline at end of file diff --git a/notes/mat/Funkce/Funkce.md b/notes/mat/Funkce/Funkce.md index 3a13aec..30b73ff 100644 --- a/notes/mat/Funkce/Funkce.md +++ b/notes/mat/Funkce/Funkce.md @@ -15,6 +15,7 @@ imagePrefix: 'data/' - [[mat/Funkce/Inverzní funkce|Inverzní funkce]] - [[mat/Funkce/Kartézský součin|Kartézský součin]] - [[mat/Funkce/Lineární lomené funkce|Lineární lomené funkce]] +- [[mat/Funkce/Logaritmus - Substituce|Logaritmus - Substituce]] - [[mat/Funkce/Logaritmus|Logaritmus]] - [[mat/Funkce/Mocninné funkce|Mocninné funkce]] - [[mat/Funkce/Příklady|Příklady]] diff --git a/notes/mat/Funkce/Logaritmus - Substituce.md b/notes/mat/Funkce/Logaritmus - Substituce.md new file mode 100644 index 0000000..491be12 --- /dev/null +++ b/notes/mat/Funkce/Logaritmus - Substituce.md @@ -0,0 +1,102 @@ +# Logaritmus - Substituce + +$\log^2x=(\log x)(\log x)=(\log x)^2$ +$log(x^2)=2\log x$ + +$\log^2x+\log x^3+\log x^2=14$ +$\log^2x+3\log x+2\log x=14$ +$\log^2x+5\log x-14=0$ + +$a=\log x$ +$a^2+5a-14=0$ +$a_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ +$a_{1,2}=\frac{-5\pm\sqrt{25-4*1*(-14)}}{2*1}$ +$a_{1,2}=\frac{-5\pm\sqrt{81}}2=\frac{-5\pm9}2$ +$a_1=2$ +$a_2=-7$ + +$\log x=2$ +$x=100$ +$\log x = -7$ + +$x_1=100$ +$x_2=10^{-7}$ + +$[x>0]$ + +$K=\{10^{-7};100\}$! + + + +## Příklady + + +$\log^2x+\log x^2=0$ +$(\log x)^2+2\log x=0$ +$k=\log x$ +$k^2+2k=0$ + +$k_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ +$k_{1,2}=\frac{-2\pm\sqrt{2^2-4*1*0}}{2*1}$ +$k_{1,2}=\frac{-2\pm2}{2}$ +$k_1=-2$ +$k_2=0$ + +$\log x=-2$ + +$\log x=0$ + +$x=10^{-2}=0.01$ +$x=0$ + +--- + +$\log^2_3(x-1)-3\log_3(x-1)=10$ +$(\log_3(x-1))^2-3\log_3(x-1)=10$ +$k=\log_3(x-1)$ +$k^2-3k-10=0$ + +$t^2-3t-10=0$ +$(t+2)(t-5)=0$ +$t_1=-2$ +$t_2=5$ +$\log_3(x-1)=t$ +$\log_3(x-1)=-2$ +$3^{-2}=x+1$ +$1/9-1=x$ +$x=8/9$ +$\log_3(x-1)=5$ +$3^5=x+1$ +$243=x+1$ +$x=242$ + +![](Pasted%20image%2020221219193816.png) + +to pod tim neplati lmao xd +$k_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ +$k_{1,2}=\frac{3\pm\sqrt{(-3)^2-4*1*10}}{2}$ +$k_{1,2}=\frac{3\pm\sqrt{9-40}}2$ +$k_{1,2}=\frac{3\pm}2$ +$k_1=0$ +$k_2=3$ + +$\log_3(x-1)=0$ +$\log_3(x-1)=3$ +$x=2$ +$x=3$ + +--- + +$\log_2(\log_3(x+4))=1$ + +$\log_3(x+4)=2^1$ +($2$ z $\log_2$, $1$ z strany za =) + +$\log_3(x+4)=2$ +$x+4=3^2$ +$x+4=9$ +$x=9-4$ +$x=5$ + +--- +

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