A rectangular swimming pool is 8.0 m times 25 m in area. The depth varies unifor

Question

A rectangular swimming pool is 8.0 m times 25 m in area. The depth varies uniformly from 1.0 m in the shallow end to 3.0m in the deep end. Determine the pressure at the bottom of the deep end of the pool. (Express your answer to two significant figures.) __________ Pa Determine the pressure at the bottom of the shallow end of the pool. (Express your answer to two significant figures.) __________ Pa What is the net force on the bottom of the pool doe to the water in the pool? (Ignore the effects of the air above the pool.) (Express your answer to two significant figures.) ___________ N

Explanation / Answer

Hydrostatic pressure at anypoint is hdg, h is the height of the water column,

                                                                 d= 1000kg/cu.m density of water and g = 9.8m/s2, garvitational acceleration

depth at the deep end    h = 3.0 m

pressure = 3.0*1000*9.8 = 29400 N/sq.m

depth at shallow end     h = 1.0 m

pressure = 1*9.8*1000 = 9800 N/sq.m

Force = pressure * Area

the dpeth is varying uniformly and hence the pressure also varies uniform.

we can take the average pressue as the effective pressure to calculate the force on the bottom

Foce on the bottom = 25*8*(9800+29400)/2

                                 = 3920000 N

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