Application of Bernoulli's Equation Physics question on FLUIDS unit

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SUMMARY

The discussion focuses on applying Bernoulli's Equation and Torricelli's Law to calculate the time required to drain a root beer keg with a height of 2 meters and a cross-sectional area of 0.8 m². The spigot at the bottom has an area of 10^-4 times that of the keg's area. By using the formula v = sqrt(2gh), participants derive the velocity of the fluid and subsequently determine the mass flow rate to find the total drainage time.

PREREQUISITES
  • Understanding of Bernoulli's Equation
  • Familiarity with Torricelli's Law
  • Basic principles of fluid dynamics
  • Knowledge of mass flow rate calculations
NEXT STEPS
  • Study the derivation and applications of Bernoulli's Equation in fluid mechanics
  • Learn how to apply Torricelli's Law to various fluid drainage scenarios
  • Explore mass flow rate calculations in different fluid systems
  • Investigate the effects of cross-sectional area on fluid velocity and drainage time
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Physics students, fluid mechanics enthusiasts, and engineers involved in fluid dynamics applications will benefit from this discussion.

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A large root beer keg of height H and cross sectional area A1 is filled with root beer. The top is open to atmospheric pressure. At the bottom is a spigot opening of area A2, which is much smaller than A1.
Find the total time needed to drain the keg if H=2m, A1=.8m^2 and A2=10^-4 * A1.
 
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Can you show us what you've tried and where you are stuck.

https://www.physicsforums.com/showthread.php?t=94379
 
u can use toricellis' law of fluids

v = sqrt(2gh)

you can then take the mass flow rate to find the time right
 

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