A woman is standing in the ocean, and she notices that after a wave crest passes, five more crests pass in a time of 42.0 s. The distance between two consecutive crests is 24 m. Determine, if possible, the following properties of the wave. If not possible, type NOT POSSIBLE.
period
frequency
wavelength
speed
amplitude
5 waves pass in 26 seconds, period = 26 sec / 5 waves = 5.2 seconds, f = 0.192 hz
To determine the properties of the wave, we can use the formulas related to wave motion:
1. Period (T): The period is the time it takes for one complete wave to pass a given point. It can be calculated using the formula:
T = Total time / Number of crests
In this case, the given total time is 42.0 s, and the number of crests is 5. Therefore,
T = 42.0 s / 5 = 8.40 s
So, the period of the wave is 8.40 s.
2. Frequency (f): The frequency is the number of complete waves passing a given point per unit time. It can be calculated using the formula:
f = 1 / T
Using the period from the previous calculation, we can find:
f = 1 / 8.40 s ≈ 0.119 Hz
So, the frequency of the wave is approximately 0.119 Hz.
3. Wavelength (λ): The wavelength is the distance between two consecutive crests or troughs. It can be calculated using the formula:
λ = Total distance / Number of crests
In this case, the given total distance is the distance between two consecutive crests, which is 24 m, and the number of crests is 1, since we are looking at the distance between two crests. Therefore,
λ = 24 m / 1 = 24 m
So, the wavelength of the wave is 24 m.
4. Speed (v): The speed of a wave can be calculated using the formula:
v = λ / T
Using the values we have determined, we can find:
v = 24 m / 8.40 s ≈ 2.86 m/s
So, the speed of the wave is approximately 2.86 m/s.
5. Amplitude (A): Unfortunately, the given information does not provide any direct information about the amplitude of the wave. Therefore, we cannot determine the amplitude with the given information.