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Fluid Mechanics
Exam 5, Spring 2008
There are 5 problems on this exam:
Problem 1:
12 points
double integral
Problem 2:
12
points – fill in the blank, definitions, easy manometry
Problem 3:
15
points  buoyancy
Problem 4:
12 points – div grad curl
Problem 5:
20 points – Venturi pump
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Exam 5, Spring 2008
page 1
Problem 1 (12 points):
The drawing shows a dam filled with a fluid
with specific weight
γ
= B – Ay
where A and B are constants.
The top of the dam is open to the atmosphere.
Notice that the location of y = 0 has been
indicated in the drawing on the right.
The shape of the dam is given by the equation
y = Cx
3

where C is a constant.
Side View
Front View
Write a double integral to find the magnitude of the force due to pressure acting on the wall of
the dam that is in contact with the water.
Make the outside integral with respect to the variable
x.
You do not need to solve the integral.
You will be graded only on how you set it up,
including limits of integration. Use gage pressure to express your answer.
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 Spring '08
 HARTMANN
 Fluid Dynamics, buoyant force FB

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