Consider Problem 7.38. Experience shows that for ship-size propellers, viscous effects on scaling are small. Also, when cavitation is not present, the nondimensional parameter containing pressure can be ignored. Assume that torque, \(T\), and power, \(\mathscr{P}\), depend on the same parameters as thrust. For conditions under which effects of \(\mu\) and \(p\) can be neglected, derive scaling "laws" for propellers, similar to the pump "laws" of Section 7.5, that relate thrust, torque, and power to the angular speed and diameter of the propeller.