How Does Archimedes' Principle Apply to Hydrometer Design?

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Archimedes' Principle is essential for understanding hydrometer design, as it relates to buoyancy and density measurement. The hydrometer in question features a cylindrical rod with nine marks indicating specific densities ranging from 0.98 g/cm3 to 1.14 g/cm3. To determine the required rod length, one must consider the liquid it will measure and the placement of the marks, which start 0.200 cm from the top and end 1.80 cm from the top. The average density of the rod must be calculated based on the densities it is designed to measure. The spacing of the marks may not be equal, as it depends on the density variations and the application of Archimedes' Principle.
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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.
 
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