Question: Show that the force exerted by the fluid on one side of the plate is the average value of the pressure (found in Exercise 45)

Show that the force exerted by the fluid on one side of the plate is the average value of the pressure (found in Exercise 45) times the area of the plate.

Data From in Exercise 45

A vertical rectangular plate a units long by b units wide is submerged in a fluid of weight-density w with its long edges parallel to the fluid’s surface. Find the average value of the pressure along the vertical dimension of the plate. Explain your answer.

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