Answer to Question #295501 in Physics for jaja

Question

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.

Answer 1

Given:

$h=\rm 20\:\rm m$

$d=\rm 30\:\rm m$

$p_a=\rm1.013 *10^5 \:N/m^2$

$\rho=\rm 1000\: kg/m^3$

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

$$p=p_a+g\rho h\\ =\rm1.013 *10^5 +9.8*1000*20=2.97*10^5\:\rm Pa$$

(ii) the total force on the bottom of tank

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