Solution Found!
Using Specific Volume, Volume, and PressureFigure P1.44
Chapter 1, Problem 44P(choose chapter or problem)
Figure P1.44 shows a tank used to collect rainwater having a diameter of \(4 \mathrm{~m}\). As shown in the figure, the depth of the tank varies linearly from \(3.5 \mathrm{~m}\) at its center to \(3 \mathrm{~m}\) along the perimeter. The local atmospheric pressure is 1 bar, the acceleration of gravity is \(9.8 \mathrm{~m} / \mathrm{s}^2\), and the density of the water is \(987.1 \mathrm{~kg} / \mathrm{m}^3\). When the tank is filled with water, determine
(a) the pressure, in kPa, at the bottom center of the tank.
(b) the total force, in kN, acting on the bottom of the tank.
Questions & Answers
QUESTION:
Figure P1.44 shows a tank used to collect rainwater having a diameter of \(4 \mathrm{~m}\). As shown in the figure, the depth of the tank varies linearly from \(3.5 \mathrm{~m}\) at its center to \(3 \mathrm{~m}\) along the perimeter. The local atmospheric pressure is 1 bar, the acceleration of gravity is \(9.8 \mathrm{~m} / \mathrm{s}^2\), and the density of the water is \(987.1 \mathrm{~kg} / \mathrm{m}^3\). When the tank is filled with water, determine
(a) the pressure, in kPa, at the bottom center of the tank.
(b) the total force, in kN, acting on the bottom of the tank.
ANSWER:
Solution 44P
Step 1 of 3
To find the pressure at bottom of center of the tank and total force at the bottom of the tank.
Given,
(a)