- #1

tomtomtom1

- 160

- 8

- Homework Statement
- To Calculate Force of Water Acting On A Full Tank Of Water

- Relevant Equations
- Pressure = Density * Gravity * Depth Below Water Surface

Pressure = Force / Area

Hello Community

I was hoping someone could me with the following question:-

A rectangular tank contains water.

It is 12m long, 4m wide and has a height of 3m.

If the tank is full determine:-

1) The Force on the long side

2) The Force on the short side

3) The moment at the bottom of the long side and its centre.

I am just tying to figure out part 1 for now.

Trying to visualise the problem I would say that the area of the long side of the tank wall is 12m * 3m = 36m^2, and the question is asking how much force is the water exerting on this wall.

I know/worked out the following:-

- Water Density = 1000kg/m^3

- Pressure = Density * Gravity * Depth Below Water Surface

- Pressure = Force / Area

- The total volume of the water in the tank is 12 * 4 * 3 = 144.

- Using the equation Density = Mass/Volume, I can say that 1000 = Mass/144, by rearranging I get Mass to equal 144000kg.

I don't really know where to go from here, I have been told that the answer is 529.2kN - but I want to know how to get to the answer.

I am struggling because I know pressure increases with depth so my gut feeling is that some form of integration is needed but I have been told that integration can be used but is not needed.

Can someone help?

Thank you.

I was hoping someone could me with the following question:-

A rectangular tank contains water.

It is 12m long, 4m wide and has a height of 3m.

If the tank is full determine:-

1) The Force on the long side

2) The Force on the short side

3) The moment at the bottom of the long side and its centre.

I am just tying to figure out part 1 for now.

Trying to visualise the problem I would say that the area of the long side of the tank wall is 12m * 3m = 36m^2, and the question is asking how much force is the water exerting on this wall.

I know/worked out the following:-

- Water Density = 1000kg/m^3

- Pressure = Density * Gravity * Depth Below Water Surface

- Pressure = Force / Area

- The total volume of the water in the tank is 12 * 4 * 3 = 144.

- Using the equation Density = Mass/Volume, I can say that 1000 = Mass/144, by rearranging I get Mass to equal 144000kg.

I don't really know where to go from here, I have been told that the answer is 529.2kN - but I want to know how to get to the answer.

I am struggling because I know pressure increases with depth so my gut feeling is that some form of integration is needed but I have been told that integration can be used but is not needed.

Can someone help?

Thank you.