The shear stress, τw, on a flat surface that is caused by a fluid of density ρ and viscosity µ flowing over the surface at a velocity V is given by
where x is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, τw(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V , ρ, and µ. (b) Use the result in part (a) to determine the drag coefficient on the flat plate as a function of ReL, where ReL = ρV L/µ. (c) If the fluid is standard air flowing at a velocity of 25 m/s over a flat plate that is 12 m long and 6 m wide, what is the drag force on the flat plate?
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