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If I have a pipe for which I know the height and velocity of the fluid at the left and right end, and I am asked to find the gauge pressure at the right end, how would I go about doing this if the internal pressure at both ends is unknown to me? I am aware that finding the difference in pressures will give me the correct answer, though I dont necessarily understand why this is the same thing as P(g) = P(abs) - P(atm). It just doesn't intuitively make sense to me. Any explanation would be much appreciated. Thanks!!

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If the right end is open to the atmosphere, then the gauge pressure is zero, and the absolute pressure at the right ends is equal to atmospheric pressure.

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