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Unformatted text preview: MAE 204 Fall 2011 Makeup Quiz#1 he NAME: Instructions:
1. You have 15 minutes to complete this quiz.
2. No notes, books, or calculators allowed. 3. Circle your answer. 4. Show all work. Problem 1: (a) The Cauchy number is an important dimensionless (there are no dimensions associated with it) number
in ﬂuid dynamics. The Cauchy number is deﬁned as Ca = p112 / K , where p is the density, 1) is a
velocity, and K is the bulk modulus. What must the units of the bulk modulus, K, be to ensure that Ca
is dimensionless. Eﬁgzhsm
K sa—a
m“. K Thux k:: m“ S  k5 “HAS—9‘ l’V g
,— 1 A ‘ \ —‘ n lecbmui7 i’l‘fi m 3 (b) True or False: An open system is also known as a control mass.
l— Ct\<;c l A dust’3 sysitm 7: c. con\m\ mm. An Open S Ccn*f‘d\ Ud\.dM, Problem 2: A hydraulic system is given as shown below. A force F0 is applied to a piston of area A0. This
is connected to another piston of area 100/10. The height difference between the two pistons is h as shown. If the force F1 = 50% ﬁnd the height difference between the two pistons in terms of F0, A0, gravity 9, and
density of the ﬂuid p. F1 ...
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 Fall '08
 Errington
 height difference, Bulk Modulus, Cauchy number

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