A 6.00cm diameter sphere with a mass of 89.3 g is neutrally buoyant (static and suspended) in a liquid. What's the liquid? Approach: Write the sum of forces in the y direction and set it equal to zero. Solve for the density of the liquid. 89.3 g liquid 6 cm Se Buoyant Force: F₁ = Pevs g 140 = = Buoyant Force Gravitational Force Pé Vs д density of liquid Volume of Sphere = gravitational constant 9.8 m/s^2 weight of the liquid displaced by the volume of the suspended object. upward force on an object in a fluid and is equal to the weight of the liquid displaced by the volume. orce equation from an FBD and solve for density. TABLE 15.1 Densities of fluids at standard temperature (0°C) and pressure (1 atm) Substance p (kg/m³) 1.28 Air Ethyl alcohol Gasoline Glycerin Helium gas Mercury Oil (typical) Seawater Water 790 680 1260 0.18 13,600 900 1030 1000

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 14.6OQ: A solid iron sphere and a solid lead sphere of the same size are each suspended by strings and are...
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Buoyant Force
A 6.00cm diameter sphere with a mass of 89.3 g is neutrally buoyant
(static and suspended) in a liquid. What's the liquid?
Approach: Write the sum of forces in the y direction and set it equal to zero.
Solve for the density of the liquid.
89.3 g
Buoyant Force:
FB =
=
liquid
6 cm
pels q
وم
FG =
Buoyant Force
Gravitational Force
Pe
Vs
V₂ = Volume Sphere
g=
density of liquid
= gravitational constant 9.8 m/s^2
= weight of the liquid displaced by the volume of the suspended object.
Concept: The
buoyant force is the
upward force on an
object in a fluid and
is equal to the
weight of the liquid
displaced by the
volume.
Skill: Write a
force equation
from an FBD
and solve for
density.
TABLE 15.1 Densities of fluids at standard
temperature (0°C) and pressure (1 atm)
Substance
p (kg/m³)
Air
1.28
Ethyl alcohol
Gasoline
Glycerin
Helium gas
Mercury
Oil (typical)
Seawater
Water
790
680
1260
0.18
13,600
900
1030
1000
Transcribed Image Text:Buoyant Force A 6.00cm diameter sphere with a mass of 89.3 g is neutrally buoyant (static and suspended) in a liquid. What's the liquid? Approach: Write the sum of forces in the y direction and set it equal to zero. Solve for the density of the liquid. 89.3 g Buoyant Force: FB = = liquid 6 cm pels q وم FG = Buoyant Force Gravitational Force Pe Vs V₂ = Volume Sphere g= density of liquid = gravitational constant 9.8 m/s^2 = weight of the liquid displaced by the volume of the suspended object. Concept: The buoyant force is the upward force on an object in a fluid and is equal to the weight of the liquid displaced by the volume. Skill: Write a force equation from an FBD and solve for density. TABLE 15.1 Densities of fluids at standard temperature (0°C) and pressure (1 atm) Substance p (kg/m³) Air 1.28 Ethyl alcohol Gasoline Glycerin Helium gas Mercury Oil (typical) Seawater Water 790 680 1260 0.18 13,600 900 1030 1000
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