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Problem 2. A spherical hot-air balloon of diameter 40ft and deflated mass 500lbm is released from rest in still air at 50F. The gas inside

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Problem 2. A spherical hot-air balloon of diameter 40ft and deflated mass 500lbm is released from rest in still air at 50F. The gas inside the balloon is effectively air at 200F. Assuming a constant drag coefficient of CD=0.60, estimate: (a) The steady upward terminal velocity of the balloon. (b) The time in seconds it takes to attain 99% of this velocity. The density of air (lbm/ft3) is 0.0774 at 50F and 0.0598 at 200F. Answer: a) 10ft/s b) 23s **Part b requires you to setup and solve and unsteady-state momentum balance. Remember: Mdtdv=WFDFB

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