$2-$ A propeller is required to absorb a delivered power of $10000$ kW at $150$ rpm when advancing into open water at a speed of $10\mathrm{.}0$ m per sec$.$ Determine the optimum diameter and pitch ratio of the propeller using the methodical series data given in Table $4\mathrm{.}3.$ What is the thrust of the propeller?

Hint: Use excel sheets for "Propeller in Open Water" part of lecture notes.

$Z=4,\frac{A_E}{A_O}=0\mathrm{.}500$

$\backslash$table$[[\frac{P}{D}$:$,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}7,0\mathrm{.}8,0\mathrm{.}9],[J,K_T,10K_Q,K_T,10K_Q,K_T,10K_Q,K_T,10K_Q,K_T,10K_Q$