Water flowing under the obstacle shown in Fig. P7.37 puts a vertical force, Fv , on the...

Water flowing under the obstacle shown in Fig. P7.37 puts a vertical force, F_v , on the obstacle. This force is assumed to be a function of the flowrate, Q, the density of the water, ρ , the acceleration of gravity, g, and a length, l, that characterizes the size of the obstacle. A 1/20-scale model is to be used to predict the vertical force on the prototype. (a) Perform a dimensional analysis for this problem. (b) If the prototype flowrate is 1000 ft³/s, determine the water flowrate for the model if the flows are to be similar. (c) If the model force is measured as (F_v)_m = 20 lb, predict the corresponding force on the prototype.