01MECH1 Flashcards by Mikulas Dite

Q

rychlost

A

v=Δx/Δt

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Q

tečné zrychlení

A

a = Δv/Δt

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Q

normálové zrychlení

A

a = v²/r

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Q

kruhový pohyb

A

s = rφ

v = rω

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Q

úhlová rychlost

A

ω = Δφ/Δt

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Q

dostředivé zrychlení

A

a = rω²

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Q

úhlové zrychlení

A

ε = Δω/Δt

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Q

perioda

A

T = 2π/ω

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Q

úhlová frekvence

A

ω = 2πf

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Q

hybnost částice

A

p = mv

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Q

kinetická energie

A

T = mv²/2 =

= p²/2m

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Q

Newtonův zákon síly

A

F = Δp/Δt =

= m Δv/Δt =

= ma

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Q

impuls síly

A

ΔI = FΔt =

= Δp/Δt Δt =

= Δp =

= mv₂ – mv₁

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Q

práce podél přímky

A

ΔA = FΔx =

= Δp/Δt Δx =

= vΔp =

= T₂ – T₁

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Q

výkon síly podél přímky

A

P = ΔA/Δt =

= F Δx/Δt =

= Fv

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Q

energie v homogenním tíhovém poli

A

U = mgh + C

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Q

ZZE v homopoli

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A

mv²/2 + mgh = E = const

Q

síla dostředivá

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A

F = mrω² =

= mv²/r

Q

třecí síla

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A

F_f = f F_n

f: koeficient smykového třené

F_n: kolmá tlaková síla

Q

elastická síla

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A

F = kx

ma = –kx

Q

harmonický pohyb – frekvence

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A

ω = Sqrt[k/m]

Q

harmonický pohyb – perioda

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A

T = 2π Sqrt[m/k]

Q

tíhová síla

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A

G = mg

g = 9.81 ms^–2

Q

gravitační síla

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A

F = Κ m₁m₂/ r²

Κ = 6.67e–11

tíhové zrychlení Země

g = ΚM_z/ R_z² R_z = 6.37e6 m

rychlost na kruhové dráze

v = Sqrt[g R_z² / R]

první kosmická rychlost

v₁ = Sqrt[g R_z]

druhá kosmická rychlost

v₂ = Sqrt[2] v₁

matematické kyvadlo

ma = -mg sin φ F_n = mg cos φ + mlω² l: délka kyvadla

úhlová frekvence malých kyvů

ω = Sqrt[g/l]

úhlová perioda malých kyvů

T = 2π Sqrt[l/g]

moment setrvačnosti

I = mr²

moment setrvačnosti válce (osa symetrie)

I = 1/2 m R²

moment setrvačnosti koule (osa symetrie)

I = 2/5 m R²

Steinerova věta

I' = I + ma²

pohybová rovnice rotačního pohybu

I ε = N = F r N: velikost momentu síly r: rameno síly

kinetická energie rotačního pohybu

T = I ω² / 2

hydrostatický tlak

p = h ⍴ g

Archimedův zákon: vztlaková síla

F = V ⍴ g

rovnice kontinuity nestlačitelné kapaliny

S v = *const* S: průřez v: rychlost kapaliny

Bernoulliova rovnice

1/2 ⍴ v² + p = *const*

rychlost odtoku kapaliny s otvorem v hloubce *h*

v = Sqrt[2gh]