Solve for Mass and Density of a Floating Cylinder in Fresh Water

In summary, the problem involves a solid cylinder of 350mm diameter and 750mm length floating in fresh water to a depth of 500mm. The mass of the cylinder is determined to be 131kg using the formula mg=pgha. To find the density of the material, simply divide the mass by the volume, which can be calculated using the formula lxd.
  • #1
series111
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Homework Statement


A solid cylinder 350mm in diametre and of total length 750mm floats upright in fresh water to a depth of 500mm determine (a) the mass of the cylinder.(b)the density of the material in the cylinder.


Homework Equations


mg=pgha


The Attempt at a Solution



area= lxd = 0.75x0.35=0.262m

m=pfa as the gravity cancels out m = 1000x0.5x0.262=131kg


it is question b i am struggling with as i have tried rearranging the formula for annother question which i have the answers for and i cannot get the same answer please help!
 
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  • #2
since you have the mass of the cylinder.. density is simply mass divided by the volume..
 
  • #3
thanks very much mark
 

Related to Solve for Mass and Density of a Floating Cylinder in Fresh Water

1. How do you calculate the mass of a floating cylinder in fresh water?

To calculate the mass of a floating cylinder in fresh water, you will need to know the volume of the cylinder and the density of fresh water. Then, you can use the formula: mass = density x volume to find the mass of the cylinder.

2. What is the formula for density?

The formula for density is mass divided by volume. It can be written as: density = mass/volume.

3. How do you determine the volume of a floating cylinder?

The volume of a floating cylinder can be determined by measuring the length, width, and height of the cylinder and using the formula: volume = length x width x height. If the cylinder has a uniform shape, you can also use the formula: volume = π x radius squared x height.

4. What is the density of fresh water?

The density of fresh water is approximately 1000 kg/m^3 (kilograms per cubic meter). This value may vary slightly depending on factors such as temperature and salinity.

5. Can you solve for the mass and density of a floating cylinder in a different liquid?

Yes, the formula for solving for mass and density of a floating cylinder can be applied to any liquid. However, the density of the liquid will need to be known in order to calculate the mass using the formula: mass = density x volume.

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