The vertical surface of a reservoir dam that is in contact w

The vertical surface of a reservoir dam that is in contact with the water is 116 m wide and 13.3 m high. The air pressure is one atmosphere. Find the magnitude of the total force acting on this surface in a completely filled reservoir. (Hint: The pressure varies linearly with depth, so you must use an average pressure.)

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Solution

height of the dam h = 13.3m; wide of the dam b = 116m

hence verticle surface area of the dam = 13.3 *116 = 1542.8m²

force per unit area is F = P *A = 1atm * 1542.8m² N;

there fore pressure an entire dam veerticle surface is = F * A = 1542.8*1atm *1542..8 N