Archimede's principle problem

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Homework Statement

no variable. it give the information about hydrometer>> A hydrometer is to be constructed with a cylindrical floating rod. Nine fiduciary marks are to be placed along the rod to indicate densities of 0.98 g/cm3, 1.00 g/cm3 ,1.02 g/cm3, 1.04 g/cm3, . . . 1.14 g/cm3 . the row of marks is to start 0.200 cm from the top end of the rod and end 1.80 cm. from the top end

Homework Equations

no equation.it ask about
1. What is the required length of the rod?
2. What must be its average density ?
3. Should the marks be equally spaced ?

The Attempt at a Solution

for 1. question >> the length of the rod required to the liquid in that hedrometer or required to what it use for(what it need to measure)
for 2. question >> its everage density up to what inside that hydrometer or all of them have the same density.
for 3. question >> I don't know.

 

[andrevdh]

You need to apply Archimede's principle to this problem in order to answer the questions. What do you now about this topic?

 

[m2003]

I would like to provide a response to this content by addressing each question separately.

1. The required length of the rod would depend on the specific application and purpose of the hydrometer. Without knowing this information, it is difficult to determine the exact length needed. However, the given information indicates that the rod should be 1.80 cm long, with the first mark starting at 0.200 cm from the top end. This would give a total length of 1.60 cm for the nine fiduciary marks, with each mark being 0.20 cm apart.

2. The average density of the rod would depend on the densities of the nine fiduciary marks. Since they are not evenly spaced, the average density would not necessarily be the same as any of the individual marks. It would be helpful to know the specific densities of the marks in order to calculate the average density of the rod.

3. The marks do not necessarily need to be equally spaced. As mentioned in the previous response, the specific densities of the marks would determine the average density of the rod, not the spacing of the marks. However, in order to accurately measure densities, it would be important to have precise and consistent spacing between the marks.