Jaká je amplituda vlnění Ym, perioda T a počáteční fáze vlnění φ0, jestliže je okamžitá výchylka daného harmonického vlnění popsána rovnicí y = 0,15 · sin (6,28 · t + 0,79)?
Správná odpověď je: C
K popisu okamžité výchylky kmitání bodu, který je součástí mechanického vlnění, lze použít rovnici ve tvaru , kde ym je amplituda kmitání bodu, je úhlová frekvence, t je doba od počátku kmitání a φ0 je počáteční fáze kmitání. Pro amplitudu v tomto případě platí:
ym = 0,15 m = 15 cm.
Pro počáteční fázi platí , tedy:
x = φ0/π = 0,79/π = 0,25.
Počáteční fáze je tak:
φ0 = 0,25 · π = ¼ · π.
Protože úhlová frekvence je Ω = 6,28 a platí pro ni vzorec Ω = 2 · π/T, platí:
T = (2 · π)/Ω = 6,28/6,28 s−1 = 1 s.
Perioda kmitání je tedy 1 s.
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