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Chemical and Physical Foundations of Biological Systems

Water Exit Speed Calculation through Small Hole

Medium Physics Fluid Mechanics

A cylindrical tank with a radius of 2 meters is filled with water to a height of 5 meters. The tank has a small hole at a depth of 3 meters from the top. Considering only the pressure due to the water column, how fast does the water exit through the hole?

Use the following information:

  • Density of water, ρ = 1000 kg/m³
  • Acceleration due to gravity, g = 9.81 m/s²

Assume the hole is small enough that the velocity of the water inside the tank is negligible compared to the exit speed.

Hint

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