CHEE 3363  Fluid Mechanics
Fall, 2010
Assignment 1
Due:
Wednesday, September 1, 2009
Problems based on lecture notes
1.
Find the component of the velocity vector
2i
3 j
6k
v
in the direction defined by the
vector
3i
4 j
9k
A
.
2.
If work is defined by
Work = (Force component in direction of motion)*(Distance moved),
determine the work done in moving an object along a vector
2 j
5k (
)
r
ft
if the
applied force is
j
k (
)
f
F
lb
.
3.
Given a velocity field v
in cylindrical coordinates, i.e.,
k,
r
r
z
v
v e
v e
v
determine
( ,
,
)
( ,
,
)
x
x
r
z
y
y
r
z
v
v v v v
v
v v v v
For the velocity vector
2e
k
r
v
, determine the rectangular components
,,
x
y
z
v v v
.
4.
Check the relations in the notes that relate the base unit vectors in spherical coordinates
with the base vectors in rectangular coordinates.
Correct these as necessary and use these
relations to determine
( ,
,
)
( ,
,
)
( ,
,
)
x
x
r
y
y
r
z
z
r
v
v v v v
v
v v v v
v
v v v v
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View Full Document5.
Find the shortest distance
between the point (1,2,1) and the plane defined by the vectors
2i
3 j
6k
and
i
5 j
3k
AB
6.
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 Spring '11
 Sarkozi
 Fluid Mechanics, Cartesian Coordinate System, Force, Polar coordinate system, Standard basis, velocity vector

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