# hw_1 - ME 152A(Fall 2008 Prof Sumita Pennathur HW#1 DUE 1 A...

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1 ME 152A (Fall 2008) – Prof. Sumita Pennathur HW #1 – DUE 10/2/2008 1. A capillary tube with a small radius a is held vertically in air with its bottom immersed in a large body of liquid. The surface tension of the air liquid combination is σ and the contact angle of the air/liquid/tube-wall combination is θ . (a) Show that if l >> a , the capillary rise l is given by: ga l ρ θ σ cos 2 = (b) How would this expression change if the system were composed of two plates separated by 2 a , instead of being a tube with radius a ? (Hint: Assume that the width of the two parallel plates are much larger than 2 a .) 2. The mercury manometer is used to measure the pressure difference between points A & B in the pipeline through which water flows. The manometer legs are water-filled above the mercury levels. Calculate p A – p B in: (a) cm of Hg (b) bars (1 bar = 10 5 Pa)

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2 3. A container is being filled with liquid of density ρ . A small, sharp-edged hole of radius R penetrates the container’s bottom. The surface tension between the liquid and the ambient air is
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## This note was uploaded on 04/02/2010 for the course ME 152a taught by Professor Meinhart,c during the Spring '08 term at UCSB.

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hw_1 - ME 152A(Fall 2008 Prof Sumita Pennathur HW#1 DUE 1 A...

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