Shown on the right is large block 72 cm wide. 54 cm long, and 9.0 cm high. This

Question

Shown on the right is large block 72 cm wide. 54 cm long, and 9.0 cm high. This block is passing through air (density rho = 1.43 kg/m^3) at a speed of v = 8.37 m/s. Find the drag force F_d acting on the block if it is traveling in the direction illustrated with the velocity vector V_1 with a drag coefficient Gamma = 0.892. Find the drag force acting on the block if it is traveling in the direction illustrated with the velocity vector V_2 with a drag coefficient Gamma = 0.981. Find the drag force acting on the block if it is traveling in the direction illustrated with the velocity vector V_3 with a drag coefficient Gamma = 1.16.

Explanation / Answer

drag force is given by

Fd = 0.5*density*drag coefficient*area*velocity^2

a).

v1 = 8.37 m/s

drag coefficient = 0.892

area = 0.09*0.72 = 0.0648m^2

density = 1.43 kg/m^3

Fd = 0.5*1.43*0.892*0.0648*(8.37)^2

Fd = 2.895 N

b).

drag coefficient = 0.981

area = 0.09*0.54 = 0.0486 m^2

Fd = 0.5*1.43*0.981*0.0486*(8.37)^2

Fd = 2.39 N

c).

drag coefficient = 1.16

area = 0.72*0.54 = 0.389 m^2

Fd = 0.5*1.43*1.16*0.389*(8.37)^2

Fd = 22.60 N

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