Moderate

A small leak is developed in a large water storage tank. If the height of water above the leakage is 10 m, then find the speed of efflux through the leak:

Correct answer: A. 14 m/sec

  • A. 14 m/sec
  • B. 10 m/sec
  • C. 9.8 m/sec
  • D. 20 m/sec

Explanation

Height = h = 10 m Acceleration due to gravity = g = 9.8 m/s² Speed = v = ? Formula: The speed of efflux through the leak can be determined using Torricelli's law, which states that the speed of efflux of a fluid through an opening is given by the equation: v = √2gh = √2 × 9.8 × 10 v = 14 m/s

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About Fluid Dynamics

Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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