A snapshot graph of a travelling wave is shown. The wave is travelling to the right at 18.2m/s. What is the amplitude if the maximum displacement is 19.9cm and the total distance travelled by the wave is 41.2m?
b). What is the wavelength of the wave?
To find the amplitude of the wave, we need to first understand what the amplitude represents. The amplitude is the maximum displacement of particles from their equilibrium position in the medium as the wave passes through it. In this case, the maximum displacement is given as 19.9 cm.
Therefore, the amplitude of the wave is 19.9 cm.
To find the wavelength of the wave, we need to know the speed of the wave. The speed of a wave is given by the formula:
v = λ * f
Where:
v = speed of the wave
λ = wavelength of the wave
f = frequency of the wave
In this case, the speed of the wave is given as 18.2 m/s.
Since the wave is traveling to the right, we know that the distance traveled by the wave in one complete cycle is equal to its wavelength.
The distance traveled by the wave is given as 41.2 m, which represents one complete cycle.
Therefore, the wavelength of the wave is 41.2 m.
Please note that in this context, since the speed of the wave is given and the frequency is not provided, we cannot determine the frequency of the wave.