Answer to Question #295501 in Physics for jaja

Question #295501

An open cylindrical tank of 20 m high and 30 m in diameter is filled with water. Given





that the atmospheric pressure,





P





=1.013 × 105 N/m2





.





i) Determine the water pressure on the bottom of the tank.





ii) Calculate the total force on the bottom of tank.






1
Expert's answer
2022-02-09T06:26:24-0500

Given:

h=20mh=\rm 20\:\rm m

d=30md=\rm 30\:\rm m

pa=1.013105N/m2p_a=\rm1.013 *10^5 \:N/m^2

ρ=1000kg/m3\rho=\rm 1000\: kg/m^3


(i) the water pressure on the bottom of the tank

p=pa+gρh=1.013105+9.8100020=2.97105Pap=p_a+g\rho h\\ =\rm1.013 *10^5 +9.8*1000*20=2.97*10^5\:\rm Pa

(ii) the total force on the bottom of tank

F=pA=2.971053.14152=2.1108NF=pA=2.97*10^5*3.14*15^2=2.1*10^8\:\rm N


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