The ocean liner Titanic lies under 12500 feet of water at the bottom of the Atlantic Ocean. (The density of water is 62.4 lb/ft3.)
(a) What is the water pressure at the Titanic? (Give your answer in both pounds per square foot and pounds per square inch.)
I got 780000 lbs/ft^2 which is equal to about 5416.67 lbs/in^2
(b) What is the total force on a circular porthole (window) of diameter 7 feet standing vertically with its center at the depth of the Titanic?

Answers

Answer 1

Answer:

a)[tex]780000 lb/ft^2[/tex]

b)Total force = 30017917.805 lb

Step-by-step explanation:

Depth of titanic = 12500 feet

Density of water =[tex]62.4 lb/ft^3[/tex]

a)Water pressure at the Titanic =[tex]depth \times density = 12500 \times 62.4=780000 lb/ft^2[/tex]

b)

Set up a integral that gives a total force

Diameter = 7 feet

[tex]Radius = \frac{7}{2}\\x^2+y^2=(\frac{7}{2})^2\\r^2+h^2=(\frac{7}{2})^2\\r=\sqrt{(\frac{7}{2})^2-h^2}[/tex]

Rectangular strip area =[tex]2r \Delta h[/tex]

Pressure = 62.4(12500-h)

Force =[tex]Pressure \times Area[/tex]

Force =[tex]62.4(12500-h) \times 2(\sqrt{(\frac{7}{2})^2-h^2}) \Delta h[/tex]

Total force = [tex]\int\limits^{\frac{7}{2}}_{\frac{-7}{2}} {124.8(12500-h)\sqrt{(\frac{7}{2})^2-h^2} \, dh[/tex]

Total force = 30017917.805 lb


Related Questions

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B. 3x +16 = 180

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Answers

I think the answer is c

Answer:

C. 5x - 54 = 3x + 16

Step-by-step explanation:

These angles are alternate interior angles and their measurement is same

5x - 54 = 3x + 16

5x - 3x = 16 + 54

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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