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# drag - FD = CD U2A mg = 120 kg U = 6 m/s Sum of forces = 0...

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mg = 120 kg U = 6 m/s F D = C D ½ ρ U 2 A Sum of forces = 0, pick A so U = 6 m/s C D ½ ρ U 2 A = mg
Re 10 4 Fox Re 10 3 1.42

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mg = 120 kg F D = C D ½ ρ U 2 A C D = 1.42 for open hemisphere F D = C D ½ ρ U 2 A = W = mg A = π d 2 /4 U = 6 m/s d 2 = [mg]/[C D ρ U 2 π /8] d = [(8/ π )(120kg)(9.8 m/s 2 ) (1/1.42)(1/1.23 kg/m 3 )(1/6m/s) 2 ] 1/2 d = 6.9 m d
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F D = C D ½ ρ U 2 A F D = ma = m(dU/dt) = m(dU/dx)(dx/dt) C D ½ ρ U 2 A = m (dU/dx) U

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C D = 2m ln {U f/ U i } /[ ρ A Δ x] C D = 0.299 C D ½ ρ U 2 A = m (dU/dx) U dU/U = C D ρ A dx /(2m)

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drag - FD = CD U2A mg = 120 kg U = 6 m/s Sum of forces = 0...

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