Constructing a Hydrometer: Length, Density, & Markings

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A hydrometer is being constructed with a cylindrical floating rod featuring nine fiduciary marks to indicate specific densities ranging from 0.98 g/cm3 to 1.14 g/cm3. The marks will be positioned starting 0.200 cm from the top and ending 1.80 cm from the top. Key questions include determining the required length of the rod, its average density, and whether the marks should be equally spaced. The length must accommodate the liquid measurement, while the average density relates to the materials used in the rod. Understanding the relationship between the buoyant force, volume of liquid displaced, and the rod's positioning is essential for accurate construction.
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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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^DsOoMmI^ said:

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 ?
What principles apply here? What is the force on the floating rod? How is that related to the volume of liquid displaced by the rod. How is that related to the distance from the liquid level to the bottom of the rod?

AM
 
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