Question

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? ​​

Answer 1

Answer:
`0.1066\ psi, 15.611\ kN`

Step-by-step explanation:

Given

the height of the tank is
`h=10\ cm`

The diameter of the tank is
`d=520\ cm`

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

`(a)` Water pressure at the bottom of the tank is

`P=\rho gh\\P=750* 9.8* 0.1\\P=735\ Pa`

`1\ Pa=0.000145038\ psi`

`\Rightarrow P=735\ Pa\ or\ 0.1066\ psi`

`(b) \text{Average force on the bottom is the product of pressure and area of the base}`

`F_(avg)=735* \pi \cdot ((520)/(200))^2\\\\F_(avg)=735* 3.142* 6.76\\F_(avg)=15,611.34\ N\ or\ 15.611\ kN`