Solve Fluid Problems on Titan and Underwater Colony | AP Physics Worksheet

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SUMMARY

This discussion focuses on solving fluid dynamics problems related to an AP Physics worksheet involving a structure on Titan and an underwater colony. The first problem requires calculating the wind speed necessary to maintain zero force on scales attached to a 90,000 kg structure using Bernoulli's equation, given Titan's atmospheric density of 5.38 kg/m³ and gravity of 1.37 N/kg. The second problem involves determining the time required to fill a swimming pool in a dome pressurized to 1.1 atm, located 180 m underwater, using the same principle. Both problems emphasize the application of Bernoulli's equation in fluid mechanics.

PREREQUISITES
  • Understanding of Bernoulli's equation in fluid dynamics
  • Knowledge of atmospheric pressure and density concepts
  • Familiarity with basic physics principles related to buoyancy and pressure
  • Ability to perform calculations involving volume flow rates
NEXT STEPS
  • Study the application of Bernoulli's equation in various fluid dynamics scenarios
  • Learn how to calculate flow rates through pipes using the continuity equation
  • Research the effects of atmospheric pressure on fluid behavior in different environments
  • Explore the principles of buoyancy and pressure in underwater structures
USEFUL FOR

Students preparing for AP Physics exams, educators teaching fluid dynamics, and anyone interested in applying physics concepts to real-world scenarios involving fluids in different environments.

nickr917
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Hi, I am having some trouble with a couple problems from an AP Physics worksheet. I don't really think that they are actually that hard overall but I'm justhaving a hard time tryng to figure out where to start. Here they are:

A 90,000 kg structure is built on stilts on the surface of Saturns moon, Titan. The structure is 20 m deep, 10 m long, and 10 m wide. Each stilt is attached to a scale that is bolted to the ground. If the air beneath the structure is at rest, how fast must the wind blow over the top of the structure for all the scales to be 0N? (Titan Data: Atmospheric density: 5.38 kg/m3 Gravity: 1.37 N/kg)

I tried to work the problem out by starting with Bernoulli's equation but then I couldn't get anything to work after that. Here is the other problem:

An underwater colony is created 180 m below the surface of a freshwater lake. The colony is a large dome presurized with air to 1.1 atm. One of the residents builds a 20 m x 10 m x 2 m swimming pool. To fill the pool, the resident opens a valve connected to a 0.5 m diameter pipe connected to outside the dome. How long will it take to fill the pool?

Again, I began with Bernoulli's equation but then I can't figure out that rate at which the pool is being filled.

Any help will be appreciated, I just need to be steered in the right direction. Thanks
 
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Guess I put this in the wrong section to begin with. Anyone here able to provide any help. Anything would be much appreciated.
 
Could really use some help, this is due tomorrow!
 

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