$(30$ points$)$ A $22-$foot model was used to test the resistance for a $30,000-$ton ship of $700-$foot length. Determine the following using the principles of geometrieal and dynamical similitude $($assuming full scale operations in $59$ deg. sea water and $68$deg, fresh water model tests$)$:

required weight of the model in pounds.

model speed in $\frac{f}{sec}$ for a $22-$knot service speed

Froude numbers of the model and the ship at their respective speeds.

Reynolds numbers of the model and ship

speed the model nould be tested at if Reypolds number similarity is to be kept?