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Unformatted text preview: MAE 101A, Winter 2008 Homework 2
Due Thursday, Jan. 24, in class Guidelines: Please turn in a neat homework that gives all the formulae that you have used
as well as details that are required for the grader to understand your solution. Required
plots should be generated using computer software such as Matlab or Excel. 1. Assume that the temperature decreases linearly with altitude at a rate of 6.5K/km. A balloon
ﬁlled with a gas of density 1.15kg/m3 is released at sea level where standard atmospheric
conditions apply. It rises to an equilibrium position where it’s density is equal to that of the
surrounding air. Assume that the density of the gas inside the balloon is constant during its
rise. What is the height to which the balloon will rise? 2. Water flows upward in a pipe slanted at 30". The mercury manometer reads it = 15 cm.
What is the pressure difference p1 — 332 in the pipe? The pressure difference p1  p2 is partly
due to frictional losses and partly due to gravity effects on the water on the pipe. What is
the pressure drop due to friction? See ﬁgure. 3. The gate ABC has a ﬁxed hinge line at B around which it can rotate, and is 2m wide into
the paper. The gate will open at A if the water depth is high enough. Compute the depth
h, for which the gate will begin to open. Assume that the gate is massless. See ﬁgure. Hint:
Draw a free body diagram of the gate. 4. Problem 2.76 Problems not to be turned in. White: 2.49, 2.68 Flow of water Schematic for Problem 2 Schematic for Problem 3 “ \ ‘ 'v ' " ,
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This note was uploaded on 05/07/2008 for the course MAE 101a taught by Professor Sakar during the Winter '08 term at UCSD.
 Winter '08
 Sakar
 Fluid Dynamics

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