What is the resulting force acting on water tank walls?

AI Thread Summary
The discussion focuses on calculating the force exerted by water pressure on the walls of cylindrical and cuboid tanks. The user presents calculations for both tank types, using a height of 1 meter and a diameter of 1 meter for the cylindrical tank and dimensions of 1m x 1m x 1m for the cuboid tank. The calculated pressure is 9810 Pa, leading to forces of 30 kN for the cylindrical tank and 39.24 kN for the cuboid tank. However, it is noted that the pressure on the sides of the tanks varies with depth, affecting the total force calculation. The user seeks confirmation on the accuracy of their approach and acknowledges the complexity of pressure distribution.
halfaguava
Messages
3
Reaction score
0
Hello,

I am trying to calculate the force exerted by the water pressure on the walls of two different water tanks. A cylindrical tank and a cuboid tank.

Are the following calculations correct? (It seems too easy!)

Using generic dimensions:

Cylindrical Tank: Height 1m, Diameter 1m
Cuboid Tank: 1m × 1m ×1m
Tanks are full: P = \rhogh= 1000 × 9.81 × 1 = 9810Pa

Internal Surface Area of Cylindrical Tank: \pi × 1 × 1 = \pim^3
Internal Surface Area of Cuboid Tank: 1 × 1 × 4sides = 4m^3

F = P × A

Force on Walls of Cylindrical Tank: 30kN
Force of Walls of Cuboid Tank: 39.24kN

Thanks in advance!
 
Physics news on Phys.org
The problem with that is that the pressure on the sides isn't constant. The pressure on the sides is dependent on how much water is above that point.
 
In that case, I have calculated the total resulting force acting at a third of the way up the wall?
 

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »
Thread 'Beam on an inclined plane'

Thread 'Beam on an inclined plane'

Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
View full post »

Similar threads

Pressure and Weight in Water Tank
Replies
6
Views
13K
Calculating the Hydrostatic Force on the wall of a Cylindrical Tank
Replies
3
Views
7K
Improving heat transfer in domestic hot water tank?
Replies
15
Views
4K
Energy of a water tank with compressed air
Replies
5
Views
1K
How Much Work to Fill a Cylindrical Tank with Water?
Replies
22
Views
3K
Air flow through a hole in a submerged pressure tank
Replies
13
Views
21K
Which Water Tank Piston Requires More Force?
Replies
6
Views
3K
Engineering Calculating the Moments on the Walls of a Tank filled with Water
Replies
2
Views
3K
How To Calculate The Force Of Water Exerted On A Full Tank
Replies
7
Views
3K
Calculating Pressure on Tank Walls
Replies
5
Views
8K

Hot Threads

Recent Insights

Back
Top