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?
c).What is the frequency of the wave?
To find the amplitude of the wave, we simply need to divide the maximum displacement by 2 because the amplitude represents half of the maximum displacement.
a) Amplitude = Maximum Displacement / 2
Amplitude = 19.9 cm / 2
Amplitude = 9.95 cm
To find the wavelength of the wave, we can use the formula:
b) Wavelength = Total Distance / Number of Cycles
Since the wave travels to the right, one complete cycle is completed when the wave has traveled the total distance. Therefore, the number of cycles is equal to 1.
Wavelength = 41.2 m / 1
Wavelength = 41.2 m
To find the frequency of the wave, we can use the equation:
c) Frequency = Speed / Wavelength
The speed of the wave is given as 18.2 m/s and the wavelength is 41.2 m.
Frequency = 18.2 m/s / 41.2 m
Frequency = 0.4417 Hz (rounded to four decimal places)