Assume Patm = 10^5, Pa = 14.7 psi ; ρwater ~ 1000 kg/m3 ; ρair ~ 1.2 kg/m3 ; μwater ~ 10^-3 N•s/m2 ; μair ~ 2 x 10^-5 N•s/m2 ; Vwater ~ 10^-6 m2 /s ; Vair ~ 1.67 x 10^-5 m2 /s ; g = 9.8 m/s^2 .; 1 m/s = 2.24 mph ; 1lbf = 4.45 N ; 1 m^3 = 264 gallonsThe drag data for a Brazuca soccer ball ( take M = 0.5 kg, D = 0.2 m) Ans OM: (a) V~ 10⁰ m/s; Re ~ 104→ turbulent flow; (b) t~10⁰ sec; (c) at final speed: CDball ~10-¹ 4. BL Flow, Soccer Ball. A world cup Brazuca soccer ball is kicked by a player at an initial speed of 10 m/s toanother player 40 m away who "heads" the ball. Assuming a horizontal flight and a constant Cò evaluatedat the initial speed: (a) at what speed (m/s) will the ball strike the second player's head? (b) what is theflight time between players? (c) to assess how good the constant Cò approximation was, compare the Cò atthe initial speed with an estimate of CD based on the final speed. Hint: F = ma; (dV/dt) dx = d (V²/2).

Name: Assume Patm = 10^5, Pa = 14.7 psi ; ρwater ~ 1000 kg/m3 ; ρair ~ 1.2 k
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: Assume Patm = 10^5, Pa = 14.7 psi ; ρwater ~ 1000 kg/m3 ; ρair ~ 1.2 kg/m3 ; μwater ~ 10^-3 N•s/m2 ; μair ~ 2 x 10^-5 N•s/m2 ; Vwater ~ 10^-6 m2 /s ; Vair ~ 1.67 x 10^-5 m2 /s ; g = 9.8 m/s^2 .; 1 m/s = 2.24 mph ; 1lbf = 4.45 N ; 1 m^3 = 264 gallonsT