Co21B Problem Solving #10 (practice with work and fluid force)
from PS 9 (that I don’t think anyone finished)…
5. A cylindrical propane tank
(
r
=
4
ft
,
h
=
10
ft
)
lies on its side and is filled with propane
(
!
=
50
lbs
/
ft
3
)
to a depth of 2
ft
. SET UP
an integral for the total work required to pump all of the propane to an outlet valve at the top of the tank.
6. A tank in the shape of a hemisphere (flat side down) of radius 10
ft
is partially filled with oil (
80
lbs
/
ft
3
) to a depth of 4
ft
.
How long will it take a pump, rated at 250
ftlb/sec
, to pump all of the oil to the top of the tank? *Answer:
!
19min
7. A good golf swing can send a 1.6 ounce ball at 120
mph
. How much work is required to do this?
8. Find the centroid of the region bounded by
y
=
x
+
2
and
y
=
4
!
x
2
*Answer
:
!
1
2
,
12
5
( )
9. Find the surface area when
y
=
x
+
1,(0
!
x
!
3)
is revolved about: a) the
x
axis
b) the
y
axis
10. Find the total outside surface area of the “ring” formed when the square bounded by (0,0), (0, 2), (2, 2) and (2,0) is revolved
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '06
 Sarason
 Fluid Dynamics, Calculus, Fluid Mechanics, 3 ft, 1ft

Click to edit the document details