The weight of a thin flat plate 50 cm × 50 cm is balanced by a counterweight that has a mass of 2 kg, as shown in the fi

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The weight of a thin flat plate 50 cm × 50 cm is balanced by acounterweight that has a mass of 2 kg, as shown in the figure. Nowa fan is turned on, and air at 1 atm and 25°C flows downward overboth surfaces of the plate with a free-stream velocity of 14 m/s.Determine the mass of the counterweight that needs to be added inorder to balance the plate in this case. It is given that thedensity and kinematic viscosity of air at 1 atm and 25°C are ρ =1.184 kg/m3 and ν = 1.562×10–5 m2/s, respectively (Table A-15).
The mass of the counterweight that needs to be addedis