Calculating pressure acting on sides of tank

In summary, the tank is 10m x 1m x 1m and filled with water. The maximum pressure acting on the tank is 9810 Pa or 9.81 kPa. The maximum force acting on the sides of the tank that could cause bending is 49.05 N. To calculate the maximum force, the formula used is F = Pcentroid x Area, where Pcentroid is equal to half of Pmax, and the projected area is 10m x 1m. However, the units used in the calculation may be incorrect, so it is important to double check them to ensure accuracy.
  • #1
Whatamiat
16
0

Homework Statement



Tank is 10m x 1m x 1m
Tank is full of water.

What is the maximum pressure acting on the Tank?
What is the maximum force acting on the sides of the tank which could cause bending of the tank?

Homework Equations


Pressure = l*g*h
where
P = water pressure (hydrostatic)
l = water density
g = gravitational acceleration.
h = water depth

Force is equal to the pressure at the centroid multiplied by the (projected) area:
Force =Pcentroid x Area: Pcentroid =g x hcentroid

The Attempt at a Solution



P = 1000 x 9.81 x 1
9810Pa, N/m2
or 9.81Kn?

F=(9.81 x (1/2)) x (10x1)
F=49.05N

I am unsure of my force calculation. Both the formula and the calculation.
How do I calculate where the maximum force is acting on the side of the tank that could cause bending if not made of a strong enough material?
 
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  • #2
The equations look right (assuming you used Pcentroid = 1/2 * Pmax on purpose), but your units got a bit messed up. Try write Pmax as 9.81 kPa or 9810 Pa and check your units in b).
 

Related to Calculating pressure acting on sides of tank

1. How do you calculate the pressure acting on the sides of a tank?

To calculate the pressure acting on the sides of a tank, you need to know the density of the fluid inside the tank, the height of the fluid, and the gravitational acceleration. Then, you can use the equation P = ρgh, where P is pressure, ρ is density, g is gravitational acceleration, and h is the height of the fluid.

2. Is the pressure acting on the sides of a tank the same as the pressure at the bottom?

No, the pressure acting on the sides of a tank is different from the pressure at the bottom. The pressure at the bottom is higher because it has to support the weight of the fluid above, while the pressure on the sides only has to support the weight of the fluid at that specific height.

3. How does the shape of the tank affect the pressure on its sides?

The shape of the tank can affect the pressure on its sides because it can change the distribution of the fluid's weight. For example, a cylindrical tank will have a more even distribution of weight, while a conical tank will have a higher pressure at the bottom due to the weight being concentrated at the apex.

4. How does the temperature of the fluid inside the tank affect the pressure on its sides?

The temperature of the fluid inside the tank can affect the pressure on its sides because it can change the density of the fluid. As temperature increases, the density of the fluid decreases, resulting in a lower pressure. This can also be seen in the ideal gas law, where pressure is inversely proportional to temperature.

5. Can the pressure on the sides of a tank be negative?

Yes, the pressure on the sides of a tank can be negative. This can occur when the fluid inside the tank is under negative pressure or when the tank is under vacuum. In these cases, the pressure on the sides of the tank will be lower than atmospheric pressure, resulting in a negative value.

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