A hemispherical parachute made of an air-impervious material is 8.0 m in diameter. The mass of parachute and load combined is 8o(kg). (Assume a drag coefficient of 1.42 based on frontal area facing flow and the viscosity of air is 1.8x10-3(PI)) a) Howfast will the parachute descend in still air assuming pressure drag dominates? b) Howfast will the parachute descend in still air assuming viscous drag dominates? c) Calculate the Reynolds number based on these two calculations and determine whether pressure drag or viscous drag dominates:
A hemispherical parachute made of an air-impervious material is 8.0 m in diameter. The mass of parachute and load combined is 8o(kg). (Assume a drag coefficient of 1.42 based on frontal area facing flow and the viscosity of air is 1.8x10-3(PI)) a) Howfast will the parachute descend in still air assuming pressure drag dominates? b) Howfast will the parachute descend in still air assuming viscous drag dominates? c) Calculate the Reynolds number based on these two calculations and determine whether pressure drag or viscous drag dominates:
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Transcribed Image Text:A hemispherical parachute made of an air-impervious material is 8.0 m in diameter. The mass of parachute and
load combined is 8o(kg). (Assume a drag coefficient of 1.42 based on frontal area facing flow and the viscosity
of air is 1.8x10-3(PI))
a) Howfast will the parachute descend in still air assuming pressure drag dominates?
b) Howfast will the parachute descend in still air assuming viscous drag dominates?
c) Calculate the Reynolds number based on these two calculations and determine whether pressure drag or
viscous drag dominates:
d) How far would an object with no drag have to fall to reach this same speed as it accelerates from rest?
(Landing with a parachute will thus involve about the same impact as would a downward free jump of this
distance.)
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