Answer:
a) Pabs = 345.7 [kPa]
b) F = 278.08 [N]
Explanation:
Manometric pressure in liquids is defined as the product of density by gravitational acceleration by the height of the liquid.
[tex]P_{g} =Ro*g*h[/tex]
where:
Pg = manometric pressure [Pa]
Ro = density = 0.890*10³[kg/m³]
g = gravity acceleration = 9.81 [m/s²]
h = liquid height = 28 [m]
Now the absolute pressure is defined as the sum of the atmospheric pressure plus the manometric pressure
a)
[tex]P_{abs}=P_{man}+P_{gau}\\P_{abs}= 101300 + (890*9.81*28)\\P_{abs} = 345765.2 [Pa] = 345.7 [kPa][/tex]
b) To determine the force at that point
The pressure is now defined as the relationship of a force over the area.
[tex]P=F/A\\F = P*A\\[/tex]
But the area of a circle can be calculated as follows:
[tex]A=\frac{\pi }{4} *(0.032)^{2}\\A = 0.0008042[m^{2}] \\F = 345765.2*0.0008042\\F = 278.08 [N][/tex]
