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Find fluid pressure in psi

P=Dh
d=62.4 lb/ft^3
h= 150 feet

I know the answer is 65 psi I just don’t understand the conversion part. So please help!

1 Answer

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Step-by-step explanation:

To find the fluid pressure in psi using the formula P = Dh, where D is the fluid density and h is the height of the fluid column, we need to first convert the density units to lb/ft^3 to match the units of the other variables.

Given:

d = 62.4 lb/ft^3 (fluid density)

h = 150 feet (height of fluid column)

We can substitute the given values into the formula to get:

P = Dh = (62.4 lb/ft^3) x (150 feet)

To get the pressure in psi, we need to convert the units of the result to pounds per square inch (psi). Since 1 psi is equivalent to 144 square inches (in^2), we can divide the result by 144 in^2 to get the pressure in psi:

P = (62.4 lb/ft^3) x (150 feet) / 144 in^2/ft^2

Simplifying, we get:

P = 65 psi (rounded to the nearest whole number)

Therefore, the fluid pressure in psi is 65 psi.

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