Assume missing values suitably

Submit electronically as $.$pdf or $.$docx using the file name "Assignment $1\_$YourName."

The Storm wave periods in Lake Pontchartrain vary from $3$ to $6$ seconds. Determine the wavelengths and celerity for $3$ and $6-$second period waves $($Assume that the lake depth is $6$ m and wave height is $H=1\mathrm{.}5m).$

For a $6-$second wave with a height of $H=1\mathrm{.}5m,$ estimate the orbital velocity $($ u and $v$ component$)$ at a depth of $4$ m from the surface based on linear wave theory.

For an $8$ sec and $1\mathrm{.}8$ m high wave propagating in water that is $500$ m deep, estimate the wave properties when the wave reaches a point where the water depth is $2\mathrm{.}3$ m $,$ e$.$g$.,1)$ Wave celerity, $2)$ wavelength, $3)$ wave steepness, $4)$ water particle speed at the wave crest, and $5)$ calculate the wave celerity and length.

A deep$-$water wave $($assumed depth as $100$ m $)$ has a period of $12$ s and a height of $2$ m and propagates into shallower water of $15$ m depth. Determine the wave height, the orbital velocity, and pressure at $1$ m below the still water level under the wave crest $(x=0).$ Assume no wave refraction and negligible energy gains and losses.

A wave in water $40$ m deep has a period of $9$ s and a height of $1\mathrm{.}8$ m $.$ a$)$ calculate the water particle velocity and the pressure at a point $4$ m ahead of the wave crest and $2$ m below the still water level, b$)$ calculate the horizontal and vertical dimensions of the water particle orbit at this point, c$)$ calculate the equivalent deep water wave height and power.

Calculate the total wave energy and power for a $1$ m high wave, period of $5$ s and propagating in $4$ m deep water.

Use the Coastexcel tool to answer the following question

$\backslash$table$[[$Sn$,$wave period,water depth,wave height,Location $($ X measured from crest, Y measured from Surface$),$question,Answer$],[$vertical distance,Horizontal distance$],[1,5,5,2,,,$Is it deep water wave,$],[2,5,25,2,,,$Is it deep water wave,$],[3,5,10,1\mathrm{.}5,,,$wave celerity?,$],[4,2,100,6,0,5,$vertical velocity,$],[5,2,100,6,0,5,$Horizontal velocity,$],[6,2,100,11,,,$Power,$],[7,2,100,11,,,$Total Energy,$],[8,8,50,1\mathrm{.}8,-2,4,$total pressure,$],[,,,,,,,],[,,,,,,,]]$