A hydrometer is a simple device used to measure the specific gravity of liquids. t has two connected parts - a glass bulb (weighted with lead) and a cylindrical tem (with some internal scale marks). When placed in a liquid, the hydrometer Toats upright with some part of the stem extending above the liquid surface. n the figure shown, the bulb has a volume of 20 cm³ and a total mass (including the lead) of 18 g. The cylindrical stem has a iameter of 1 cm and a total length of 20 cm; the mass of the cylindrical stem is 2 g. a. Using the depth Z, derive an expression for the TOTAL volume of the hydrometer that is immersed in the liquid. b. Draw the appropriate force balance diagram for when the hydrometer is stationary in the fluid. Be sure to identify and label all the relevant forces and in which direction they act. c. When placed in an unknown liquid, the cylindrical stem extends 13.5 cm above the liquid surface. Determine the specific gravity of this liquid. BULB

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A hydrometer is a simple device used to measure the specific gravity of liquids.
It has two connected parts - a glass bulb (weighted with lead) and a cylindrical
stem (with some internal scale marks). When placed in a liquid, the hydrometer
floats upright with some part of the stem extending above the liquid surface.
In the figure shown, the bulb has a volume of 20 cm³ and a total
mass (including the lead) of 18 g. The cylindrical stem has a
diameter of 1 cm and a total length of 20 cm; the mass of the
cylindrical stem is 2 g.
a. Using the depth Z, derive an expression for the TOTAL
volume of the hydrometer that is immersed in the liquid.
b. Draw the appropriate force balance diagram for when the
hydrometer is stationary in the fluid. Be sure to identify
and label all the relevant forces and in which direction
they act.
c. When placed in an unknown liquid, the cylindrical stem
extends 13.5 cm above the liquid surface. Determine the
specific gravity of this liquid.
BULB
-
Z
Transcribed Image Text:A hydrometer is a simple device used to measure the specific gravity of liquids. It has two connected parts - a glass bulb (weighted with lead) and a cylindrical stem (with some internal scale marks). When placed in a liquid, the hydrometer floats upright with some part of the stem extending above the liquid surface. In the figure shown, the bulb has a volume of 20 cm³ and a total mass (including the lead) of 18 g. The cylindrical stem has a diameter of 1 cm and a total length of 20 cm; the mass of the cylindrical stem is 2 g. a. Using the depth Z, derive an expression for the TOTAL volume of the hydrometer that is immersed in the liquid. b. Draw the appropriate force balance diagram for when the hydrometer is stationary in the fluid. Be sure to identify and label all the relevant forces and in which direction they act. c. When placed in an unknown liquid, the cylindrical stem extends 13.5 cm above the liquid surface. Determine the specific gravity of this liquid. BULB - Z
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