Calculating Force: Swimming Pool Problem

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SUMMARY

The discussion focuses on calculating the force exerted by water in a swimming pool with dimensions 30.0 m by 10.0 m and a depth of 2.00 m. The force on the bottom of the pool is calculated using the formula B = pgV, resulting in a force of 5,880,000 N. For calculating the force on the sides and ends, the average pressure approach is suggested, utilizing the equation P = (p * g * h) / 2, followed by applying P = F * A to find the total force. The use of Bernoulli's equation is mentioned but deemed unnecessary for this specific problem.

PREREQUISITES
  • Understanding of fluid mechanics principles, particularly hydrostatic pressure.
  • Familiarity with the equation B = pgV for buoyancy calculations.
  • Knowledge of pressure calculations using P = F/A.
  • Basic understanding of Bernoulli's equation and its applications.
NEXT STEPS
  • Research hydrostatic pressure calculations in fluids.
  • Learn how to apply the buoyancy formula B = pgV in various scenarios.
  • Explore the derivation and applications of Bernoulli's equation.
  • Study examples of calculating forces on submerged surfaces in different fluid contexts.
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Students in physics or engineering courses, educators teaching fluid mechanics, and anyone involved in practical applications of hydrostatics.

ernay
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Homework Statement


A swimming pool has dimensions 30.0 m and 10.0 m and a flat bottom. When the pool is filled to a depth of 2.00 m with fresh water, what is the force caused by the water on the bottom? On each end? On each side?


Homework Equations


B = pgV
P1+pgh+1/2pv2


The Attempt at a Solution


For the force on the bottom I thought it'd make sense to use buoyancy, so basically (103)*9.8**30*10*2), which is 5,880,000N... As for the sides and ends, I haven't got a clue on how to do it, I thought it might've involved Bernoulli's equation but I'm not really sure..
 
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I've been looking around online and I've seen similar problems where they use average pressure... which is (p*g*h)/2 p is density btw... is this the right approach, then just use P=F*A?
 

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