In a study of the power required to overcome drag, an engineer is using a π-group given by , 3 where P is the power lost, ρ is the fluid density, A is area, and V is the fluid velocity. In laboratory...

In a study of the power required to overcome drag, an engineer is using a π-group given by
,₃
where P is the power lost, ρ is the fluid density, A is area, and V is the fluid velocity. In laboratory tests with a one-eighth-scale model, the power lost was measured as 5 W when the air velocity was 0.5 m/s. Calculate the power lost in the prototype (kW) when the air velocity is 4 m/s. Temperature is the same in both cases.