Calculating float line for a cone shaped vessel

[yamacui]

Hello all,

I'm trying to calculate the float line on a conical shaped vessel in water. The properties of the vessel are:

Weight - 10kg
Area of base of vessel - 0.311m2

I am using an equation I came across here:
http://answers.yahoo.com/question/index?qid=20080317200108AA5yNzY"

As I understand it:

Depth of vessel in water = weight of the vessel/(density of water X area of base of vessel)

With my figures this equate to:

D = 10/(1000X0.311)
D = 0.03m

Is this correct? This is the first time I have tried to do this sort of calculation and would appreciate any guidance.

Thanks in advance.

 

[AndyW]

Thank you for your question. Your calculation looks correct to me. The equation you are using is commonly known as Archimedes' principle, which states that the upward buoyant force on an object immersed in a fluid is equal to the weight of the fluid that the object displaces.

In this case, the weight of the vessel is counteracted by the buoyant force of the water, and the depth of immersion is determined by the weight of the vessel and the density of the water.

It is always a good idea to double check your calculations and make sure you are using the correct units. In this case, the weight of the vessel is given in kilograms, so the density of the water should also be in kilograms per cubic meter (kg/m3).

I hope this helps. Good luck with your calculations!

 

[sir-pinski]

Hi there,

Yes, your calculation looks correct. The equation you are using is the correct one for calculating the float line on a conical shaped vessel. The only thing I would suggest is to double check the units in your calculation. The density of water is typically given in kg/m3, so you may need to convert the units of your weight and area of base to match (e.g. converting 10kg to 0.01m3). Other than that, your calculation looks good.

As for guidance, I would recommend double checking your units and also making sure that the density of water you are using is accurate for the conditions you are working with. Additionally, it may be helpful to research other equations or methods for calculating the float line on a cone shaped vessel to compare your results.

I hope this helps and good luck with your calculation!