A 2 inch diameter hole is in the side of a water tank, and it is located 10 feet below the water level in the tank. What is the velocity of water exiting the hole and how will the velocity of the water exiting the hole change as the tank empties?
Here we can apply Bernoulli's equation at two locations ie at the surface and at the exit through the hole.
Thus we calculate the exit velocity of water through the hole assuming the dimensions of the hole very small compared to the tank dimensions.
Thus we can say that the velocity at exit decreases parabolically as thw height decreases in the tank.
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