Question

E2) A fish tank at a Chinese aquarium is designed so that the patrons may insert their hands directly into the tank through open ports on the side of the tank (as shown). A simplification (side profile) of this tank is depicted as well. The top of the tank will fail (collapse) if a pressure less than 84.1 kPa(abs) exists at the top of the water level. For the dimensions shown, what should be the lowest level of 3.0 the ports, h, so that salt water (sg 1.030) will not spill out of the tank, and the pressure at the top gauge matches the allowable limit? Assume standard ambient atmosphere (SATP) conditions.

10.8 psia Absolute Pressure 14.4 psia -12.5 psia E2) A fish tank at a Chinese aquarium is designed so that the patrons may insert their hands directly into the tank through. open ports on the side of the tank (as shown). A simplification (side profile) of this tank is depicted as well. The top of the tank will fail (collapse) if a pressure less Ihan 84.1 kPa(abs) exists at the top of the water level. For the dimensions shown, what should be the lowest level of the ports, h, so that salt water (sg = 1.030) will not spill out of the tank, and the pressure at the top gauge matches the allowable limit? Assume standard ambient atmosphere (SATP) conditions. Piop 7.5 3.0 m 1. %3D

Answer 1

2 The Set up a - - - W Consider the 2 point in the picture Poin ① is the at the surface of the open port and point 0 is at the same level of the port surface but situated inside the takt 2 t I I ho y por # There will be no spill of water this through the port So long pressure at point o equals pressure at as point ④ Pi P. y PL No blow Pressure of atmosphere at SATP condition - the top gange matches . Pat = 101.325 kPa Cabe) = 101925 N/m Pressure at the top surface when the allowable limit is - 84.1 kPa Cabe) = 84100 N/m Pressure at point o- - P = gettonat 84100 + Cpxgx63-)] p = specific gravity & Density of water p= 1.030 x 1000 kg/m3

p= 1030 kg / m g = 9.81 mlet i Pi = 84100 + (1030x9.81x (3-)) 1. = 84100 + 30312.9 - 10104.3 = 114412.9 - 10104: 3h N/m Presosure at open surface of port Pod Pu = pat = 107325 Theoretically - - N/m ii 114412:0) - 10104.3 h = 101325 h = 1.2953 m

The allowable lowest level of the port is h= 1- 2953 m EEN