Problem 3 - The School or Aeronautics is doing some weather evaluations using a helium-filled spherical balloon with a radius of 12 inches. The balloon and associated instrumentation weigh 0.1 lbf. Determine the terminal ascent velocity of the balloon if the air temperature is 60°F. The terminal ascent velocity is based on when the balloon's velocity is constant (no 4 Volume πρ Sphere 3 acceleration). The volume of the balloon is where r is the radius. Use a temperature of 60°F to determine the air properties. The problem is an iterative problem but limit the number of iterations to 2 and make sure you explain the solution process and the equations required. Although not required creating a free-body diagram may make solving the problem easier. Do not spend time trying to create the final numerical solution.

Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter5: Separation Processes
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Problem 3 - The School or Aeronautics is doing some weather evaluations using a helium-filled
spherical balloon with a radius of 12 inches. The balloon and associated instrumentation weigh
0.1 lbf. Determine the terminal ascent velocity of the balloon if the air temperature is 60°F.
The terminal ascent velocity is based on when the balloon's velocity is constant (no
4
Volume
πρ
Sphere 3
acceleration). The volume of the balloon is
where r is the radius. Use a
temperature of 60°F to determine the air properties. The problem is an iterative problem but
limit the number of iterations to 2 and make sure you explain the solution process and the
equations required. Although not required creating a free-body diagram may make solving the
problem easier. Do not spend time trying to create the final numerical solution.
Transcribed Image Text:Problem 3 - The School or Aeronautics is doing some weather evaluations using a helium-filled spherical balloon with a radius of 12 inches. The balloon and associated instrumentation weigh 0.1 lbf. Determine the terminal ascent velocity of the balloon if the air temperature is 60°F. The terminal ascent velocity is based on when the balloon's velocity is constant (no 4 Volume πρ Sphere 3 acceleration). The volume of the balloon is where r is the radius. Use a temperature of 60°F to determine the air properties. The problem is an iterative problem but limit the number of iterations to 2 and make sure you explain the solution process and the equations required. Although not required creating a free-body diagram may make solving the problem easier. Do not spend time trying to create the final numerical solution.
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