Torricelli's Theorem & Speed of Efflux, Bernoulli's Principle, Fluid Mechanics - Physics Problems | Summary and Q&A

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November 16, 2017
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Torricelli's Theorem & Speed of Efflux, Bernoulli's Principle, Fluid Mechanics - Physics Problems

TL;DR

The efflux speed of water leaving a storage tank can be calculated using Toricelli's theorem or Bernoulli's equation.

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Questions & Answers

Q: How can we calculate the efflux speed of water leaving a storage tank?

The efflux speed can be calculated using Torricelli's theorem, which states that the speed is the square root of 2gh, where h is the height difference between the water level and the exit point.

Q: Is it possible to derive the efflux speed equation using conservation of energy?

Yes, conservation of energy can be used to derive the equation. By equating the potential energy of the water to its kinetic energy, we can obtain the equation v^2 = 2gh.

Q: How does Bernoulli's equation help in calculating the efflux speed?

Bernoulli's equation considers the pressure difference between the water inside the tank and the atmospheric pressure. By neglecting the negligible pressure difference between the exit point and the water level, the equation can be simplified to gh = (1/2)v^2.

Q: What factors are important for calculating the efflux speed of water from a tank?

The height difference between the water level and the exit point, gravitational acceleration, and the pressure difference between the water inside the tank and the atmospheric pressure are the key factors to consider when calculating the efflux speed.

Summary & Key Takeaways

  • The efflux speed of water leaving a storage tank can be calculated using Toricelli's theorem, which states that the speed is the square root of 2gh, where h is the height difference between the water level and the exit point.

  • Conservation of energy can also be used to derive the equation, equating the potential energy of the water to its kinetic energy.

  • Bernoulli's equation can also be utilized to calculate the efflux speed, considering the pressure difference between the water inside the tank and the atmospheric pressure.

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