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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
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This note was uploaded on 05/26/2011 for the course MATH 16B taught by Professor Sarason during the Spring '06 term at University of California, Berkeley.
 Spring '06
 Sarason
 Calculus

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