Where Does Water Land When It Flows Out of a Hole in a Tank?

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SUMMARY

The discussion focuses on determining where water lands when it flows out of a hole in a tank. The tank is 3.0 meters deep, with a hole located 2.0 meters from the bottom, and the tank sits on a 1-meter tall table. To solve the problem, one must calculate the speed of the water exiting the hole and apply projectile motion equations to find the landing point on the ground.

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  • Understanding of fluid dynamics, specifically incompressible non-viscous flow.
  • Knowledge of projectile motion equations.
  • Ability to calculate the speed of fluid exiting an orifice.
  • Familiarity with basic physics concepts related to height and distance.
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  • Learn how to calculate the exit velocity of fluid using Torricelli's Law.
  • Study the equations of motion for projectile trajectories.
  • Explore the effects of different hole sizes on fluid flow rates.
  • Investigate the impact of fluid viscosity on flow dynamics.
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Students studying physics, particularly those focusing on fluid dynamics and projectile motion, as well as educators seeking to explain these concepts in practical scenarios.

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Homework Statement


A tank of water 3.0m deep sits on a table 1m tall. A hole is located 2.0m from the bottom of the tank. Water flows out of the hole and strikes the ground, where does the water strike the ground at from the table? Assume incompressible non-viscous flow.


Homework Equations





The Attempt at a Solution


I don't know what to do for this problem and I was hoping to find some help.
 
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welcome to pf!

hi nlanha1! welcome to pf! :wink:

the water is coming horizontally out of the side of the tank …

find its speed, and then apply the usual projectile equations to find where it lands :smile:
 
If the hole was pointing straight up, the water would go up to the same height as the surface of the water in the tank.
 

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