A two-meter-high tank is full of water. A hole is made in the middle of the tank. The speed of efflux is
Correct answer: A. 4.9m/s
- A. 4.9m/s
- B. 9.8 m/s
- C. 4.42 m/s
- D. 3.75 m/s
Explanation
To find the speed of efflux from a hole in a container filled with water, Torricelli's theorem is used: v = \sqrt{2gh}, where g is the acceleration due to gravity 9.8m/s^2 and h is the depth of the water above the hole. Substituting h = 1m, we get v = \sqrt{2 \times 9.8 \times 1} = 4.9m/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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