45 lines
560 B
Markdown
45 lines
560 B
Markdown
# Gefällestrecke mit Einlauf
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Bekannt:
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$$
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L_1, H_0, H_1, \alpha, \Delta H_{EA}, L_{EA}
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Gesucht:
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L_G, \Delta H_G
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Beziehungen:
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$$
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\frac{\Delta{H_G}}{L_G} = tan(\alpha) [1]
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$$
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$$
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\Delta{H_F} = H_1 - H_0 + \Delta{H_S} [2]
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$$
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$$
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L_1 = L_G + L_{EA} [3]
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$$
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$$
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H_0 = H_1 + \Delta H_{EA} + \Delta H_G [4]
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$$
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aus [1]
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$$
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\Delta{H_G} = tan(\alpha) \cdot L_G
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= tan(\alpha) \cdot L_1 - L_{EA}
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$$
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aus [3]
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$$
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L_G = L_1 - L_{EA}
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$$
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