Dimensions of a swimming pool are 28.0 m by 9.5 m and its uniform depth is 1.8 m

Question

Dimensions of a swimming pool are 28.0 m by 9.5 m and its uniform depth is 1.8 m. The atmospheric pressure is 1.013 times 10^5 N/m^2. Determine the absolute pressure on the bottom of the swimming pool. Express your answer to two significant figures and include the appropriate units P_b = Value Units Calculate the total force on the bottom of the swimming pool. Express your answer to two significant figures and include the appropriate units F_b = Value Units What will be the pressure against the side of the pool near the bottom? Express your answer to two significant figures and include the appropriate units. P_s = Value Units

Explanation / Answer

partA] Pbottom =Patm + Pwater   where Pwater is rho*g*h

                = 101300+ 1.8*1000*9.8

              = 118940 Pa

   in two sig fig, pressure = 1.2*10^5 Pa   answer

partB] total force = pressure*area

                 = 118940 *28*9.5

                = 3.2*10^7 N

partC] it will be same as bottom

       = 1.2*10^5 Pa

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