Amount of styrofoam submerged

• Mackanator
In summary, the conversation discusses how to determine the amount of a cube of styrofoam that will be submerged in water without measuring. It is determined that to float, the styrofoam must displace its own weight of water, which in this case is 10g. Since the density of water is 1g/cm^3, the volume of water to be displaced is 10cm^3. Therefore, to reach the desired volume, the block of styrofoam, with a bottom surface area of 100cm^2, would need to have a height of 1mm.

Mackanator

I'm trying to find how much of a cube of styrofoam is submerged in water without measuring because the amount is very small.

If I have a block of styrofoam with a mass of 10g and a density of 0.018g/cm3
How much of the styrofoam will be submerged?

MY guess would be 1mm, 10g of water has a volume of 10cm^3, so the same volume of styrofoam to displace same volume of water would be .1cm *10 cm * 10cm

I'm a little bit confused. Can you explain that again more thoroughly?

Any floating object displaces its own weight of fluid.

— Archimedes of Syracuse[3]

So the weight of the styrofoam is 10g, to float, it must displace 10g of water

The density of water is 1g/cm^3 so 10g of water has a volume of 10cm^3. That is the volume of water to be displaced by an equal volume of styrofoam, since the block has a 100cm^2 bottom, it will take a height of 1mm to reach the desired volume.

Wow, simple. thanks!

1. What is the purpose of measuring the amount of styrofoam submerged?

The amount of styrofoam submerged is typically measured to determine the buoyancy of an object. It can also be used to calculate the density of the surrounding liquid.

2. How is the amount of styrofoam submerged measured?

The amount of styrofoam submerged can be measured by immersing the object in a known volume of liquid and recording the change in liquid level. Alternatively, the object can be weighed while submerged and then while in air, and the difference in weight can be used to calculate the volume of liquid displaced.

3. Does the shape or size of the styrofoam affect the amount submerged?

Yes, the shape and size of the styrofoam can affect the amount submerged. Objects with a larger surface area will displace more liquid and therefore have a greater amount submerged. Objects with a more irregular shape may displace more or less liquid depending on their orientation in the liquid.

4. How does the amount of styrofoam submerged relate to the density of the liquid?

The amount of styrofoam submerged is directly related to the density of the surrounding liquid. The higher the density of the liquid, the greater the amount of styrofoam that will be submerged in order to achieve equilibrium. This is due to the increased weight of the liquid pushing against the styrofoam.

5. Can the amount of styrofoam submerged change over time?

Yes, the amount of styrofoam submerged can change over time. This could be due to evaporation or absorption of the liquid by the styrofoam, causing the overall density of the object to change. Additionally, if the liquid is subject to external forces such as temperature or pressure changes, the amount of styrofoam submerged may also change.