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suppose a liquid level from 5.5 to 8.6 m is linearly converted to pneumatic pressure from 3 to 15 psi. what pressure will result from a level of 7.2 m? what level does a pressure of 4.7 psi represent? (linear transfer function, 4 pts)

Sagot :

Pressure will result from a level of  h= 7.2m then P = 9.58 psi and P=4.7 psi for h=5.94 m.

The pressure Pon a static liquid level h is

P= p₀ + ρ*g*h

p₀ is the initial pressure , ρ=density , g is the gravity

ΔP= ρ*g*Δh → ΔP/Δh

=  density *gravity = ( 15 psi - 3 psi) /( 8.6 m - 5.5 m)  

= 12/3.1 psi/m

P = P₁ + ΔP/Δh*(h -h₁)

P₁ = 3  & h₁= 5.5 m when height is 7.2 m

P = 3 psi  + 12/3.1 psi/m *(7.2 m -5.5 m) = 9.58 psi

P = 9.58 when height is 7.2 m

P=4.7 psi

4.7 psi = 3 psi  + 12/3.1 psi/m *(h -5.5 m)

h = (4.7 psi - 3 psi)/ (12/3.1 psi/m) + 5.5 m = 5.94 m

then P=4.7 psi for h=5.94 m.

Learn more about pressure  here:

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