Dimensions of a swimming pool are 34.0 m by 8.5 m and its uniform depth is 2.9 m
ID: 1781774 • Letter: D
Question
Dimensions of a swimming pool are 34.0 m by
8.5 m and its uniform depth is 2.9 m . The atmospheric pressure is 1.013×105N/m2.
Part A
Determine the absolute pressure on the bottom of the swimming pool.
Express your answer to two significant figures and include the appropriate units.
Part B
Calculate the total force on the bottom of the swimming pool.
Express your answer to two significant figures and include the appropriate units.
Part C
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.
Explanation / Answer
pressure due to weight of water in swimming pool
=gH
=1000*9.81*2.9=28449Pa
absoulte pressure on bottom of pool = 1.013*105 + 28449 = 129749Pa
PartB
Total force on bottom of pool =Pressure * Area
(129749)(34.0)(8.5) = 37497461 N
Part C
The absolute pressure near bottom would be the same answer as 1) and just the water pressure =129749 Pa