Water pressure in a tank problem

In summary, the minimum pressure of water at the bottom of the tower, taking into account the surface pressure of the air, would be 147250 pascals or 1.45 atmospheres.
  • #1
ar202
45
0

Homework Statement



A water pipe feeds a water tower with water. The tower is 15 metres tall.
If the water is to flow into the tank what is the minimum pressure of water at the bottom of the tower?
Assume litre of water = 1 kg
Assume 1 BAR = 1kg cm-2

Homework Equations



P = p g h ?

The Attempt at a Solution



am i using the correct equation...?
 
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  • #2
sooooooooo...

1000 * 9.81 * 15 = 147150 or 1.45 atmopspheres? :uhh:
 
  • #3
It doesn't matter if you use pascals or atmospheres. And the formula is correct.
 
  • #4
pinsky said:
It doesn't matter if you use pascals or atmospheres. And the formula is correct.

ah okay, thanks. Is the answer correct?
 
  • #5
Either you didn't express yourself good enough or you're asking a stupid question. :)
 
  • #6
hah :redface:
 
  • #7
turns out i got this WRONG! any thoughts?!
 
  • #8
Apparently You had to count in air pressure (10^5 pascals) since it can still exert pressure on the bottom...Is it correct with that added?
 
  • #9
lolrelativity said:
Apparently You had to count in air pressure (10^5 pascals) since it can still exert pressure on the bottom...Is it correct with that added?

Yeah you're right, i didn't factor in surface pressure. doh!
 

1. What is water pressure in a tank problem?

Water pressure in a tank problem refers to a common physics problem that involves calculating the pressure exerted by a column of water in a tank on its base. This problem is often used to understand the principles of hydrostatics.

2. How is water pressure in a tank calculated?

Water pressure in a tank can be calculated by multiplying the height of the water column by the density of water (1000 kg/m^3) and the gravitational constant (9.8 m/s^2). This calculation is based on the principle of hydrostatics, which states that the pressure at any point in a static fluid is equal to the weight of the fluid above that point.

3. What factors affect water pressure in a tank?

The two main factors that affect water pressure in a tank are the height of the water column and the density of water. Other factors that can influence water pressure include the shape and size of the tank, the type of fluid being stored, and any external forces acting on the tank.

4. How does water pressure in a tank impact the tank's stability?

Water pressure in a tank can impact its stability by exerting a force on the base of the tank. If the pressure becomes too high, it can cause the tank to tip over or rupture. This is why it is important for engineers to calculate and consider water pressure when designing tanks and other structures that hold fluids.

5. Can the water pressure in a tank be greater than atmospheric pressure?

Yes, the water pressure in a tank can be greater than atmospheric pressure. Atmospheric pressure refers to the pressure exerted by the Earth's atmosphere, which is approximately 14.7 pounds per square inch (psi) at sea level. However, the pressure exerted by a column of water can be much greater, especially in taller tanks or when the tank is filled to a greater height. This is why it is important to consider water pressure in tank design and safety.

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