A liquid with a density of 900kg/m 3 is stored in a pressurized, closed storage tank. The tank is cylindrical with a 10m diameter. The absolute pressure in the tank above the liquid is 200kPa. What is the initial velocity of a fluid jet when a 5cm diameter orifice is opened at point A?

18.62 m/s

Explanation:

Given that:

A liquid with a density of 900 kg/m 3 is stored in a pressurized, closed storage tank.

Diameter of the tank = 10 m

The absolute pressure in the tank above the liquid is 200 kPa = 200, 000 Pa

At pressure of 200 kPa   ; the final velocity = 0

Atmospheric pressure at 5cm = 101325 Pa

We are to calculate the initial velocity of a fluid jet when a 5cm diameter orifice is opened at point A?

By using Bernoulli's theorem between the shaded portion in the diagram;

we have:

where;

Pa = atmospheric pressure = 101325 Pa

= density of liquid = 900 kg/m³

= initial velocity = ???

g = 9.8 m/s²

= height of the hole from the buttom

= height of the liquid surface from the button

Thus, the initial  velocity of the fluid jet  = 18.62 m/s

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

laticia draws the diagram below to show earth’s magnetic field.

answer

the arrows to the right of earth should point up.