Copyright TUF e.V. 2015 · wkhuprg\qdplvfkh 7hpshudwxu 7 .hoylq . 6wriiphqjh q 0ro pro /lfkwvwlunh , &dqghod fg 6, 9ruvdw]vloehq 9ruvdw]vloeh =hlfkhq =hkqhusrwhq] 9ruvdw]vloeh =hlfkhq

Formelsammlungfür den

Technikunterricht

Verband der Techniklehrer für die gymnasiale Oberstufe in NRWTechnik - Unterricht: Forum e.V.

hCopyright TUF e.V.

2015

Herausgeber:Technik-Unterricht: Forum e.V. Memelstraße 7547057 Duisburg

Druck:flyeralarm GmbHAlfred-Nobel-Str. 1897080 Würzburg 1. Auflage 2015

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2015

Formelsammlungfür den

TechnikunterrichtCopyright TUF e.V.

2015

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2015

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=

=

=

⋅= =

= ⋅⋅ =

⋅= = =

ρρ =

= ⋅⋅ = ⋅

= ⋅ ⋅ ∆⋅ = ⋅

= ⋅ ⋅⋅ = ⋅

= ⋅ ⋅ ∆

= ⋅ ⋅ ∆ ⋅ ⋅

∆=∆

⋅

= ⋅ ⋅

η η = =

ηη = − =

= =⋅

= = Ω

ϕ= ⋅ ⋅ ⋅

= ⋅ ⋅

ϕ= ⋅ ⋅ ⋅

+ − =

= +

+ + + =

+ + = −

⋅=⋅

⋅ ⋅=⋅

⋅ ⋅=

⋅

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2015

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=

=

=

⋅= =

= ⋅⋅ =

⋅= = =

ρρ =

= ⋅⋅ = ⋅

= ⋅ ⋅ ∆⋅ = ⋅

= ⋅ ⋅⋅ = ⋅

= ⋅ ⋅ ∆

= ⋅ ⋅ ∆ ⋅ ⋅

∆=∆

⋅

= ⋅ ⋅

η η = =

ηη = − =

= =⋅

= = Ω

ϕ= ⋅ ⋅ ⋅

= ⋅ ⋅

ϕ= ⋅ ⋅ ⋅

+ − =

= +

+ + + =

+ + = −

⋅=⋅

⋅ ⋅=⋅

⋅ ⋅=

⋅

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2015

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= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

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2015

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= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

= = = =

= + + +

= + + +

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2015

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ϕ

ω ϕ= ⋅ ⋅ −

=

=

ω ω π= ⋅ϕ

= ⋅ϕ= ⋅ ⋅ϕ= ⋅ ⋅

ϕ=

=

= ⋅ = ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

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2015

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ϕ

ω ϕ= ⋅ ⋅ −

=

=

ω ω π= ⋅ϕ

= ⋅ϕ= ⋅ ⋅ϕ= ⋅ ⋅

ϕ=

=

= ⋅ = ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

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∆∆∆∆

ϕ

=

=

= ⋅ = ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

ρ

∆

ρ ⋅∆ = ⋅ ⋅

ρ ϕ⋅∆ = ⋅ ⋅ ⋅

ρ ϕ⋅∆ = ⋅ ⋅ ⋅

+ = ∆

= ⋅ ⋅ ∆

= ⋅ ⋅ ∆

=

=

+ =

∆

ν

κ

= ⋅ ∆

⋅ =

ν⋅ = ⋅ ⋅

=

= − ⋅ ∆

=

=

⋅ ⋅=

= − ⋅ ⋅ ⋅

= − ⋅ ⋅ ⋅

κ⋅ =

κ =

η = − =

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2015

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∆∆∆∆

ϕ

=

=

= ⋅ = ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

ϕ= ⋅ = ⋅ ⋅ ⋅

ρ

∆

ρ ⋅∆ = ⋅ ⋅

ρ ϕ⋅∆ = ⋅ ⋅ ⋅

ρ ϕ⋅∆ = ⋅ ⋅ ⋅

+ = ∆

= ⋅ ⋅ ∆

= ⋅ ⋅ ∆

=

=

+ =

∆

ν

κ

= ⋅ ∆

⋅ =

ν⋅ = ⋅ ⋅

=

= − ⋅ ∆

=

=

⋅ ⋅=

= − ⋅ ⋅ ⋅

= − ⋅ ⋅ ⋅

κ⋅ =

κ =

η = − =

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∧ ∨¬ ¬ =¬ = ¬ =

∧ = ∨ =∧ = ∨ =∧ = ∨ =∧ ¬ = ∨ ¬ =∨ ∧ = ∧ ∨ =∧ = ∧ ∨ = ∨∧ ∧ = ∧ ∧ ∨ ∨ = ∨ ∨

∧ ∨ = ∧ ∨ ∧ ∨ ∧ = ∨ ∧ ∨¬ ∧ = ¬ ∨ ¬ ¬ ∨ = ¬ ∧ ¬

¬

∧ ∨ =∨ = ∨∨ ∨ = ∨ ∨

∨ ∧ = ∨ ∧ ∨¬ ∨ = ¬ ∧ ¬

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2015

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∧ ∨¬ ¬ =¬ = ¬ =

∧ = ∨ =∧ = ∨ =∧ = ∨ =∧ ¬ = ∨ ¬ =∨ ∧ = ∧ ∨ =∧ = ∧ ∨ = ∨∧ ∧ = ∧ ∧ ∨ ∨ = ∨ ∨

∧ ∨ = ∧ ∨ ∧ ∨ ∧ = ∨ ∧ ∨¬ ∧ = ¬ ∨ ¬ ¬ ∨ = ¬ ∧ ¬

¬

∧ ∨ =∨ = ∨∨ ∨ = ∨ ∨

∨ ∧ = ∨ ∧ ∨¬ ∨ = ¬ ∧ ¬

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16

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