$5\mathrm{.}10.$ A $6-$in model of a $24-$in$.$ valve was tested in the laboratory and at a

valve opening of $60$ the following model data were found: $C_d=0\mathrm{.}57,$

$P_u=59\mathrm{.}5,V_c=27\mathrm{.}5fps($at critical cavitation$).$ Calculate the

discharge at critical cavitation for the $24-$in$.$ valve operating at $P_u=$

$95\mathrm{.}4$; ignore scale effects and assume $P_{vg}=-11\mathrm{.}6($for both

valves$).$

Answer: $Q=107cfs$