A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) S² (y³ - 11y² + 28y) dy 9800л 0 S 9800л (y3-7y²+12y) dy 0 9800 ²f²1- (-y5+ 15y4-72y³ + 112y2) dy S* (y³-9y² + 20y) dy B D 9800л

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Chapter14: Fluid Mechanics
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A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work
done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.)
2
A
9800€
-S²(y³ - 11y² +28y) dy
0
4
(B)
9800
S
(y3-7y²+12y) dy
0
C
9800л
S² (-y³ + 15y4-72y³ + 112y²) dy
0
4
D
9800r *(y²³-9y² + 20y) dy
Transcribed Image Text:A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 2 A 9800€ -S²(y³ - 11y² +28y) dy 0 4 (B) 9800 S (y3-7y²+12y) dy 0 C 9800л S² (-y³ + 15y4-72y³ + 112y²) dy 0 4 D 9800r *(y²³-9y² + 20y) dy
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