The wave is travelling to the right at 50.0 m/s. What is the amplitude if the maximum displacement is 38.0 cm and the total distance travelled by the wave is 16.0 m.
2) What is the wavelength of the wave?
3)What is the frequency of the wave?
1) The amplitude is the maximum displacement
2) I do not understand what is meant by "the total distance traveled by the wave" The wave keeps on traveling and does not stop. They must be referring to the length of one wave, which would be the wavelength. In that case it is 16.0 m
3) frequency = (wave speed)/(wavelength)
= 50/16 = 3.12 Hz
i got the same answers you got but they are being read a sincorrect in my assignment.
To answer these questions, we need to understand the relationship between the amplitude, wavelength, frequency, and wave speed.
1) Amplitude:
The amplitude of a wave is the maximum displacement of a particle from its equilibrium position. In this case, the maximum displacement is given as 38.0 cm.
2) Wavelength:
The wavelength of a wave is the distance between two consecutive points in the same phase. To find the wavelength, we can use the formula:
wavelength = total distance traveled / number of wavelengths
In this case, the total distance traveled is given as 16.0 m. We need to determine the number of wavelengths. Since the wave is traveling to the right at 50.0 m/s, we can use the formula:
wave speed = frequency * wavelength
Since the wave speed is given as 50.0 m/s, we can rearrange the formula to find the wavelength:
wavelength = wave speed / frequency
Since we don't know the frequency yet, we will calculate it in the next step.
3) Frequency:
Frequency is the number of complete cycles or oscillations of a wave per unit of time. In this case, we need to find the frequency using the relationship between wave speed, wavelength, and frequency mentioned in step 2.
Lastly, we can substitute the calculated wavelength and wave speed into the equation in step 2 to find the frequency of the wave.
To summarize:
1) The amplitude is given as 38.0 cm.
2) To find the wavelength, use the formula wavelength = wave speed / frequency.
3) To find the frequency, use the equation wave speed = frequency * wavelength.
Using these steps, we can calculate the wavelength and frequency of the wave.