ࡱ> 8:7qq`?bjbjqPqPB\::vO%dddd@@@ % % %8B%|%DbQt&6D'"f'f'|'+++ Q Q Q Q Q Q Q$TShU1Qi@a0+"+a0a01Qddf'|'%Q666a0^dVf'@|' Q6a0 Q66J@L|'& pW.G %0d[KP4Q0QqK6|V#4`|V,L|V@L0+,6-Q.+++1Q1Q5Z+++Qa0a0a0a0bbb$!bbb!T4"dddddd VyjdYen neznm ztechnickho vzorce Clem tto kapitoly je procvi it prci srovnicemi vyu~vanmi vtechnick praxi a zdoraznit vznam matematiky pYi Yeaen technickch loh. V rovnicch se vyskytuj konkrtn symboly, na rozdl od b~nch matematickch rovnic se neznm nenazv x. PYi Yeaen tchto loh se vyu~vaj b~n matematick operace  pYi tn nebo ode tn kobma stranm rovnice, dlen nebo nsoben obou stran rovnice, vytkn, umocHovn, odmocHovn apod. Xeaen pYklady PYklad 1 Ze vzorce (z rovnice) odvozenho pro vpo et ovldac sly na klice hYebenovho zvedku vyjdYete hmotnost m, dosate zadan hodnoty a m vypo tejte.  F = 80 N, r = 30 mm, i = 16, rk = 300 mm,  = 0,7, g = 9,81m.s-2. Xeaen: Rovnici vynsobme sou inem i.rk., obdr~me: F. i.rk. = m.g.r Dle rovnici vydlme sou inem g.r a dostaneme:  EMBED Equation.3  Dosadme zadan hodnoty do zskanho vzorce a hodnotu m vypo tme:  EMBED Equation.3  Zvr: Vypo tan hmotnost m je 913,35 kg. PYklad 2 Ze vzorce odvozenho pro vpo et vkonu motoru anekovho dopravnku vyjdYete sou initel odporu proti pohybu materilu , dosate zadan hodnoty vzkladnch jednotkch a  vypo tejte. Qm = 10 kg.s-1, L = 17 m, g = 9,81 m.s-2, P = 5 kW. P = Qm.L.g.  Xeaen: Rovnici vydlme sou inem Qm.L.g a zskme vzorec:  EMBED Equation.3  Dosadme zadan hodnoty v zkladnch jednotkch do zskanho vzorce a hodnotu  vypo tme:  EMBED Equation.3  Zvr: Vypo tan sou initel odporu proti pohybu materilu je roven 3. PYklad 3 Ur ete ot ky, kter mus obrb  nastavit pro soustru~en d = 28 mm nstrojem svymnitelnou bYitovou desti kou ze slinutho karbidu, aby Yezn rychlost v byla 120 m.min-1. Xeaen: Pro stanoven ot ek pou~ijeme vztah pro vpo et Yezn rychlosti:  EMBED Equation.3 [ m.min-1] Ze vztahu vyjdYme ot ky n : 1000 . vc = p . d . n  EMBED Equation.3  po dosazen:  EMBED Equation.3  n =1364 [min-1] Zvr: Obrb  mus nastavit ot ky 1364 min-1. NeYeaen pYklady PYklad 1 Ze vzorce odvozenho pro vpo et vkonu vodn turbny vyjdYete spd H, dosate zadan hodnoty vzkladnch jednotkch a H vypo tejte. 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P = QV.H. .g. V Vsledek: H = 7,95 m PYklad 2 Zrovnice momentov rovnovhy na klice navjedla vyjdYete pYevodov pomri, dosate zadan hodnoty vzkladnch jednotkch a i vypo tejte. m = 0,3 t, Db = 0,35 m, F = 220 N, r = 0,3 m, g = 9,81 m.s-2.  EMBED Equation.3  Vsledek: i = 7,8 PYklad 3 Zevztahu pro vpo et vkonu motoru elektrickho kladkostroje vyjdYete hodnotu innosti .  EMBED Equation.3  Vsledek:  EMBED Equation.3  PYklad 4 Zrovnice pro vpo et prodlou~en ty e vlivem zmny teploty vyjdYete hodnotu kone n teploty t2, dosate zadan hodnoty a teplotu t2 vypo tejte.  = 1,22.10-5 C-1, l = 0,075 mm, l = 200 mm, t1 = 20 C.  EMBED Equation.3  Vsledek: t2 = 50,73 C PYklad 5 Zrovnice pro vpo et promru patn kru~nice na ozubenm kole vyjdYete po et zubo z. Df = m.(z  2,5) Vsledek:  EMBED Equation.3  PYklad 6 Zrovnice pro vpo et promru hlavov kru~nice na ozubenm kole vyjdYete po et zubo z. Da = m.(z + 2) Vsledek:  EMBED Equation.3  PYklad 7 Zrovnice pro vpo et obvodu obdlnku vyjdYete velikost strany a. o = 2. (a+b) Vsledek:  EMBED Equation.3  PYklad 8 Ze vzorce pro vpo et Yezn rychlosti pYi vrtn vyjdYete ot ky n a vypo tejte je. Parametry jsou zadny pro vrtn vrtkem zeslinutho karbidu, pYi dosazovn dbejte na sprvnost jednotek. v = 90 m.min-1, d = 12 mm, v =  . d . n Vsledek: 2387 min-1 PYklad 9 Ur ete ot ky n stopkov frzy D = 20 mm zrychloYezn oceli pYi frzovn oceli 11500. Pro frzovn tohoto materilu je doporu ena Yezn rychlost v = 40 m.min-1.  EMBED Equation.3  Vsledek: n = 637 min-1 PYklad 10 Zrovnice pro vpo et promru polotovaru pro ta~en polozavYen ndoby vlcovho tvaru vyjdYete promr D.  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