Copyright TUF e.V. 2015 · wkhuprg\qdplvfkh 7hpshudwxu 7 .hoylq . 6wriiphqjh q 0ro pro /lfkwvwlunh...
Transcript of Copyright TUF e.V. 2015 · wkhuprg\qdplvfkh 7hpshudwxu 7 .hoylq . 6wriiphqjh q 0ro pro /lfkwvwlunh...
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Formelsammlungfür den
Technikunterricht
Verband der Techniklehrer für die gymnasiale Oberstufe in NRWTechnik - Unterricht: Forum e.V.
hCopyright TUF e.V.
2015
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Herausgeber:Technik-Unterricht: Forum e.V. Memelstraße 7547057 Duisburg
Druck:flyeralarm GmbHAlfred-Nobel-Str. 1897080 Würzburg 1. Auflage 2015
Copyright TUF e.V.
2015
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Formelsammlungfür den
TechnikunterrichtCopyright TUF e.V.
2015
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Copyright TUF e.V.
2015
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Copyright TUF e.V.
2015
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=
=
=
⋅= =
= ⋅⋅ =
⋅= = =
ρρ =
= ⋅⋅ = ⋅
= ⋅ ⋅ ∆⋅ = ⋅
= ⋅ ⋅⋅ = ⋅
= ⋅ ⋅ ∆
= ⋅ ⋅ ∆ ⋅ ⋅
∆=∆
⋅
= ⋅ ⋅
η η = =
ηη = − =
= =⋅
= = Ω
ϕ= ⋅ ⋅ ⋅
= ⋅ ⋅
ϕ= ⋅ ⋅ ⋅
+ − =
= +
+ + + =
+ + = −
⋅=⋅
⋅ ⋅=⋅
⋅ ⋅=
⋅
Copyright TUF e.V.
2015
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=
=
=
⋅= =
= ⋅⋅ =
⋅= = =
ρρ =
= ⋅⋅ = ⋅
= ⋅ ⋅ ∆⋅ = ⋅
= ⋅ ⋅⋅ = ⋅
= ⋅ ⋅ ∆
= ⋅ ⋅ ∆ ⋅ ⋅
∆=∆
⋅
= ⋅ ⋅
η η = =
ηη = − =
= =⋅
= = Ω
ϕ= ⋅ ⋅ ⋅
= ⋅ ⋅
ϕ= ⋅ ⋅ ⋅
+ − =
= +
+ + + =
+ + = −
⋅=⋅
⋅ ⋅=⋅
⋅ ⋅=
⋅
Copyright TUF e.V.
2015
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= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
Copyright TUF e.V.
2015
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= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
= = = =
= + + +
= + + +
Copyright TUF e.V.
2015
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ϕ
ω ϕ= ⋅ ⋅ −
=
=
ω ω π= ⋅ϕ
= ⋅ϕ= ⋅ ⋅ϕ= ⋅ ⋅
ϕ=
=
= ⋅ = ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
Copyright TUF e.V.
2015
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ϕ
ω ϕ= ⋅ ⋅ −
=
=
ω ω π= ⋅ϕ
= ⋅ϕ= ⋅ ⋅ϕ= ⋅ ⋅
ϕ=
=
= ⋅ = ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
Copyright TUF e.V.
2015
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∆∆∆∆
ϕ
=
=
= ⋅ = ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
ρ
∆
ρ ⋅∆ = ⋅ ⋅
ρ ϕ⋅∆ = ⋅ ⋅ ⋅
ρ ϕ⋅∆ = ⋅ ⋅ ⋅
+ = ∆
= ⋅ ⋅ ∆
= ⋅ ⋅ ∆
=
=
+ =
∆
ν
κ
= ⋅ ∆
⋅ =
ν⋅ = ⋅ ⋅
=
= − ⋅ ∆
=
=
⋅ ⋅=
= − ⋅ ⋅ ⋅
= − ⋅ ⋅ ⋅
κ⋅ =
κ =
η = − =
Copyright TUF e.V.
2015
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∆∆∆∆
ϕ
=
=
= ⋅ = ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
ϕ= ⋅ = ⋅ ⋅ ⋅
ρ
∆
ρ ⋅∆ = ⋅ ⋅
ρ ϕ⋅∆ = ⋅ ⋅ ⋅
ρ ϕ⋅∆ = ⋅ ⋅ ⋅
+ = ∆
= ⋅ ⋅ ∆
= ⋅ ⋅ ∆
=
=
+ =
∆
ν
κ
= ⋅ ∆
⋅ =
ν⋅ = ⋅ ⋅
=
= − ⋅ ∆
=
=
⋅ ⋅=
= − ⋅ ⋅ ⋅
= − ⋅ ⋅ ⋅
κ⋅ =
κ =
η = − =
Copyright TUF e.V.
2015
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∧ ∨¬ ¬ =¬ = ¬ =
∧ = ∨ =∧ = ∨ =∧ = ∨ =∧ ¬ = ∨ ¬ =∨ ∧ = ∧ ∨ =∧ = ∧ ∨ = ∨∧ ∧ = ∧ ∧ ∨ ∨ = ∨ ∨
∧ ∨ = ∧ ∨ ∧ ∨ ∧ = ∨ ∧ ∨¬ ∧ = ¬ ∨ ¬ ¬ ∨ = ¬ ∧ ¬
¬
∧ ∨ =∨ = ∨∨ ∨ = ∨ ∨
∨ ∧ = ∨ ∧ ∨¬ ∨ = ¬ ∧ ¬
Copyright TUF e.V.
2015
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∧ ∨¬ ¬ =¬ = ¬ =
∧ = ∨ =∧ = ∨ =∧ = ∨ =∧ ¬ = ∨ ¬ =∨ ∧ = ∧ ∨ =∧ = ∧ ∨ = ∨∧ ∧ = ∧ ∧ ∨ ∨ = ∨ ∨
∧ ∨ = ∧ ∨ ∧ ∨ ∧ = ∨ ∧ ∨¬ ∧ = ¬ ∨ ¬ ¬ ∨ = ¬ ∧ ¬
¬
∧ ∨ =∨ = ∨∨ ∨ = ∨ ∨
∨ ∧ = ∨ ∧ ∨¬ ∨ = ¬ ∧ ¬
Copyright TUF e.V.
2015
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2015
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2015
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2015
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Copyright TUF e.V.
2015
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Copyright TUF e.V.
2015