Rychlost příčných vln – problémy a řešení
1.
If the time interval required to travel from A to B is 2 seconds, determine the speed of the příčná vlna.
Známý:
Vzdálenost A-B = 6 meters
Časový interval A-B = 2 sekundy
Hledám: Speed of transverse wave
Řešení:
1 vlnová délka has 1 crest and 1 trough. There is 4 wavelength between A and B. Distance between A and B is 6 meters so that 1 wavelength (λ) = 6 metrs / 4 = 1.5 meters.
time interval required to travel from A to B is 2 seconds so that the time interval required to travel 1 wavelength = period (T) = 2 seconds / 4 = 0.5 seconds.
Rovnice rychlosti vln:
v = λ f = λ / T
v = speed of wave, λ = vlnová délka, f = frekvence, T = perioda
Rychlost vlny:
v = 1.5 meters / 0.5 spodmínky
v = 3 meters/sekond
2. If the time interval required to travel from A to B is 8 seconds, determine the speed of transverse wave.
Známý:
There are two wavelength.
1 vlnová délka (λ) = 2 x 4 meters = 8 metrůs
Period (T) = 8 sepodmínky / 2 vlnových délek = 4 seconds / vlnová délka
Hledá se: Speed of wave (V)
Řešení:
The speed of wave calculated using the equation of the speed of wave :
v = f λ = λ/T
v = 8 meters / 4 spodmínky
v = 2 meters/sekond
