A tank of liquid exerts of pressure of 300 kPa on a plug on the bottom of the tank. The local atmospheric pressure is 99 kPa. The diameter of the circular plug is 2.5 cm. What is the additional force that needs to be applied to the plug to keep the plug in place?
Given: P = 300 kPa; Patm = 99 kPa; D = 2.5 cm = 0.025 m
What will be an ideal response?
The local air pressure is pushing against the 300 kPa, so the remaining pressure that needs to be applied to keep the plug in place is Pg = 300 kPa – 99 kPa = 201 kPa
This pressure is applied over an area A = ?D2/4 = 0.0004909 m2
So, the needed force is F = PgA = 98.7 N
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