45. The cubical metal tank shown here has a parabolic gate held in place by bolts and designed to withstand a fluid force of 160 lb without rupturing. The liquid you plan to store has a weight- density of 50 lb/ft³. a. What is the fluid force on the gate when the liquid is 2 ft deep? b. What is the maximum height to which the container can be filled without exceeding the gate's design limitation? 4 ft y (ft) (-1, 1) (1, 1) 4 ft y = x² x (ft) 4 ft -1 Enlarged view of parabolic gate Parabolic gate

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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45. The cubical metal tank shown here has a parabolic gate held in
place by bolts and designed to withstand a fluid force of 160 lb
without rupturing. The liquid you plan to store has a weight-
density of 50 lb/ft³.
a. What is the fluid force on the gate when the liquid is 2 ft deep?
b. What is the maximum height to which the container can be
filled without exceeding the gate's design limitation?
4 ft
y (ft)
(-1, 1)
(1, 1)
4 ft
y = x²
x (ft)
4 ft
-1
Enlarged view of
parabolic gate
Parabolic gate
Transcribed Image Text:45. The cubical metal tank shown here has a parabolic gate held in place by bolts and designed to withstand a fluid force of 160 lb without rupturing. The liquid you plan to store has a weight- density of 50 lb/ft³. a. What is the fluid force on the gate when the liquid is 2 ft deep? b. What is the maximum height to which the container can be filled without exceeding the gate's design limitation? 4 ft y (ft) (-1, 1) (1, 1) 4 ft y = x² x (ft) 4 ft -1 Enlarged view of parabolic gate Parabolic gate
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