Gewitter (2_065)

Grundkompetenz: AG 4.1, AN 4.3, WS 2.3
a)
In drei verschiedenen Städten – A, B und C – werden am Nachmittag laut Wetterprognose unabhängig voneinander mit folgenden Wahrscheinlichkeiten Gewitter auftreten:[br][br][img]data:image/png;base64,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[/img][br][br][br][br][b][size=150]1) Berechnen Sie die Wahrscheinlichkeit, dass in mindestens einer der drei Städte kein Gewitter auftreten wird.[/size][/b]
b)
Um Gebäude vor Blitzeinschlägen zu schützen, werden Blitzableiter verwendet. Dabei wird eine Metallstange, die sogenannte Fangstange, auf dem Gebäude senkrecht montiert.[br]Der höchste Punkt einer solchen Fangstange kann als Spitze eines drehkegelförmigen Schutzbereichs angesehen werden. Alle Objekte, die sich vollständig innerhalb dieses Schutzbereichs befinden, sind vor direkten Blitzeinschlägen geschützt.[br][br][img]data:image/png;base64,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[/img][br][br][br][br][b][size=150]1) Erstellen Sie eine Formel zur Berechnung des Radius [math]r[/math] aus [math]α[/math] und [math]h[/math].[/size][/b][br]
Auf einem Flachdach ist eine [math]2m[/math] hohe Fangstange senkrecht montiert. [math]3m[/math] vom Fußpunkt der Fangstange entfernt steht eine [math]1,2m[/math] hohe Antenne senkrecht auf dem Flachdach. Der Schutzwinkel beträgt [math]77°[/math].[br][br][br][br][b][size=150]2) Überprüfen Sie nachweislich, ob sich diese Antenne vollständig innerhalb des Schutzbereichs befindet.[/size][/b]
c)
Während eines Nachmittags, an dem es ein Gewitter gab, wurde die Veränderung der Temperatur ermittelt. Die Funktion [math]T'[/math] beschreibt die momentane Änderungsrate der Temperatur in Abhängigkeit von der Zeit [math]t[/math] (siehe nachstehende Abbildung).[br]Die absolute Temperaturänderung in einem Zeitintervall [math][t_1;t_2][/math] kann durch das Integral [math]\int_{t_1}^{t_2}T'\left(t\right)dt[/math] berechnet werden.[br][br][br][br][size=150][b]1) Bestimmen Sie mithilfe der Abbildung näherungsweise die absolute Temperaturänderung im Zeitintervall [math][1,25;1,5][/math].[/b][/size]

Information: Gewitter (2_065)