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https://texercises.com/exercise/torricellis-law/
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Exercise:
Consider the flow of a liquid through a hole in the bottom of a container. If ht is the height of the liquid above the hole then the velocity of the liquid emerging from the hole will be given by vh csqrtgh where g is the acceleration of gravity ncg and c is an empirical constant which is about . in many cases. The rate of change of the volume of liquid in the tank is dfracddVddt -avh where a is the cross-sectional area of the hole. Using the fact that V _^h Ah ddh where Ah is the cross-sectional area of the tank at a height h show that dfracddhddt -dfracacsqrtghAh. This result is known as Torricelli's law.

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Exercise:
Consider the flow of a liquid through a hole in the bottom of a container. If ht is the height of the liquid above the hole then the velocity of the liquid emerging from the hole will be given by vh csqrtgh where g is the acceleration of gravity ncg and c is an empirical constant which is about . in many cases. The rate of change of the volume of liquid in the tank is dfracddVddt -avh where a is the cross-sectional area of the hole. Using the fact that V _^h Ah ddh where Ah is the cross-sectional area of the tank at a height h show that dfracddhddt -dfracacsqrtghAh. This result is known as Torricelli's law.

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de, dgl, law, liquid, physics
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