The time needed for a water wave to change from the equilibrium level to the crest is 0.4185 s.
What fraction of a wavelength is this?
What is the period of the wave? Answer in units of s.
What is the frequency of the wave? Answer in units of Hz.
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To find out the fraction of a wavelength, we need to know the speed of the wave. If we assume a speed of the wave is v, then we can use the formula:
Fraction of a wavelength = (time needed / period)
The period of a wave is the time taken for one complete cycle.
Given that the time needed for the water wave to change from equilibrium level to the crest is 0.4185 s, we can use this information to find the fraction of a wavelength.
Fraction of a wavelength = 0.4185s / period
To find the period of the wave, we use the formula:
Period = 2 * time needed
Thus,
Period = 2 * 0.4185s = 0.837s
The period of the wave is 0.837 seconds.
To find the frequency of the wave, we use the equation:
Frequency = 1 / period
Frequency = 1 / 0.837s = 1.195 Hz
The frequency of the wave is 1.195 Hz.
To determine the fraction of a wavelength that corresponds to the time it takes for a wave to change from the equilibrium level to the crest, we first need to know the speed of the wave. The speed of a wave is given by the formula:
Speed = Wavelength / Period
Since we are not given the wavelength or the speed of the wave, we cannot directly calculate the fraction. However, we can determine the period of the wave, which is the time it takes for one complete cycle.
To find the period, we can use the formula:
Period = Time / Number of Cycles
In this case, we have the time needed for the wave to change from the equilibrium level to the crest, which corresponds to half a cycle (from the equilibrium level to the crest and back to the equilibrium level). So the number of cycles is 0.5.
Using the given time of 0.4185 s and the number of cycles of 0.5, we can calculate the period:
Period = 0.4185 s / 0.5 = 0.837 s
Now that we have the period, we can determine the frequency of the wave, which is the number of cycles per second. The formula for frequency is:
Frequency = 1 / Period
Plugging in the calculated period:
Frequency = 1 / 0.837 s = 1.194 Hz
Therefore, the fraction of a wavelength that the given time corresponds to cannot be determined without knowing the wavelength or speed of the wave. The period of the wave is 0.837 s, and the frequency of the wave is 1.194 Hz.