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clep
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CLEP
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CLEP
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ENGINEERING
Design a clepsydra (Egyptian water clock), which is a vessel from which water drains by gravity through a hole in the bottom and that indicates time by the level of the remaining water. Specify the dimensions of the vessel and the size of the drain hole; indicate the amount of water needed to fill the vessel and the interval at which it must be filled. Plot the vessel radius as a function of elevation.
QUESTION
A clepsydra, or water clock, is a glass container with a small hole in the bottom through which water can flow. The “clock” is calibrated for measuring time by placing markings on the container corresponding to water levels at equally spaced times. Let x=f(y) be continuous on the interval [0, b] and assume that the container is formed by rotating the graph of f about the y-axis. Let V denote the volume of water and h the hieght of the water level at time t. Determine V as a function of h.
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CLEPS
AMU
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CLEP
AMIDEAST · Washington, DC
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