Part A : A cylindrical water tank 10cm high and 520cm in diameter is filled with solution with a density of 0.75 g/cm^3

a) What is the water pressure on the bottom of the tank? (pressure in psi)
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b) What is the average force on the bottom? ​​

Respuesta :

Answer: [tex]0.1066\ psi, 15.611\ kN[/tex]

Explanation:

Given

the height of the tank is [tex]h=10\ cm[/tex]

The diameter of the tank is [tex]d=520\ cm[/tex]

Density of solution [tex]\rho=0.75\ g/cm^3\ or\ 750\ kg/m^3[/tex]

[tex](a)[/tex] Water pressure at the bottom of the tank is

[tex]P=\rho gh\\P=750\times 9.8\times 0.1\\P=735\ Pa[/tex]

[tex]1\ Pa=0.000145038\ psi[/tex]

[tex]\Rightarrow P=735\ Pa\ or\ 0.1066\ psi[/tex]

[tex](b) \text{Average force on the bottom is the product of pressure and area of the base}[/tex]

[tex]F_{avg}=735\times \pi \cdot (\frac{520}{200})^2\\\\F_{avg}=735\times 3.142\times 6.76\\F_{avg}=15,611.34\ N\ or\ 15.611\ kN[/tex]