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    Wave Dynamics and Water Vapor Pressure

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    Equations describing wave dynamics and dispersion are used to deduce the following

    1.
    A wave of period 10s approaching the shore has a height of 1m in deep
    water. Calculate (use ?=1.03×103 kg m-3)
    (a) The wave speed and group speed in deep water =
    (b) The wave steepness in deep water =
    (c) The wave power per metre length of crest in deep water =
    (d) The wave power per metre length of crest in water 2.5 m deep =

    The super cooling of water into droplets is described for the scenario below

    2.
    Ice particles and super cooled water droplets exist in the same cloud at a temperature if T = 260 K. The water vapor pressure in the cloud is P h2o = 2.50mb. I have to develop an argument that shows the liquid droplets will tend to evaporate and the ice particles will tend to grow.

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    https://brainmass.com/physics/power/wave-dynamics-water-vapor-pressure-409317

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    See attached file.

    1.
    A wave of period 10s approaching the shore has a height of 1m in deep
    water. Calculate (use ?=1.03×103 kg m-3)
    (a) The wave speed and group speed in deep water =
    (b) The wave steepness in deep water =
    (c) The wave power per metre length of crest in deep water =
    (d) The wave power per metre length of crest in water 2.5 m deep =

    - For deep water:
    Wave speed (phase velocity ) is given by (1)
    (1)
    Where wave period ,

    - For deep water group velocity
    Wave steepness is given by (2) Ref [1]
    (2)
    Amplitude ,
    Wavelength is obtained from so
    (3)
    Thus and
    Wave steepness,

    - In deep water the wave power flux per unit length of wave is given by [2] and equation ...

    Solution Summary

    The solution answers questions regarding wave dynamics and water vapor pressure.

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