A fisherman is watching water waves ripple past his boat can calculate using wavelength = wave velocity/frequency.
How could he determine the wavelength of the water waves?
- Wavelength can be calculated using the following formula: wavelength = wave velocity/frequency. Wavelength usually is expressed in units of meters.
- Generally, A wave is simply defined as a disturbance that propagates via a medium from one point to another.
- In conclusion, The following formula may be used to compute wavelength: wavelength = wave velocity/frequency.
- Speed is distance over time, so v = λ / T. The frequency, f, is 1/T, so the equation relating wave speed, frequency, and wavelength is v = f λ .
- The SI unit of wavelength is metre usually denoted as m. While measuring wavelength the multiples or fractions of a metre is also used.
- Determine the frequency of the wave. For example, f = 10 MHz . ...
- Choose the velocity of the wave. ...
- Substitute these values into the wavelength equation λ = v/f .
- Calculate the result.
- You can also use this tool as a frequency calculator.
According to the above equation, k = 0.004 and ω = 5.05.
Using the following identities, we can find the period of the wave.
T = 1.25 s.
For the horizontal distance travelled by one period of time, x = λ.
The wave number, k = 0.004 . The number of waves per second is the frequency, so f = 0.8.
The velocity of the wave is the derivative of the position function.
The maximum velocity is when the derivative of the velocity function is equal to zero.
In order this to be zero, cosine term must be equal to zero.
The reason that cosine term is set to be 5π/2 is that time cannot be zero. For π/2 and 3π/2, t<0.
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