Question
Asked Oct 23, 2019
P4-28 A layer of oil 6 cm thick covers a layer of water. A
cylinder made of soft pine floats in this two-layer fluid, as shown.
Using data on the figure, find the height, x, by which the cylinder
protrudes from the fluid.
20 cm
Air
14 cm
Soft
SG 075O
pine
SG 0.56
Water
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P4-28 A layer of oil 6 cm thick covers a layer of water. A cylinder made of soft pine floats in this two-layer fluid, as shown. Using data on the figure, find the height, x, by which the cylinder protrudes from the fluid. 20 cm Air 14 cm Soft SG 075O pine SG 0.56 Water

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check_circleExpert Solution
Step 1

Given data,

Specific gravity of oil is So = 0.75
Specific gravity of Soft pine is Se
= 0.56
'Soft pine
Specific gravity of water is Sat
=1
water
Height of oil layer,
6 cm
Height of water layer = h
water
Height of Air layer = h
x cm
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Specific gravity of oil is So = 0.75 Specific gravity of Soft pine is Se = 0.56 'Soft pine Specific gravity of water is Sat =1 water Height of oil layer, 6 cm Height of water layer = h water Height of Air layer = h x cm

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Step 2

The free body diagram for the soft spin is below,

Weight of fluid
|á splaced by water
Weight of fluid
dsplaced by oil
Weight of Soft spin
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Weight of fluid |á splaced by water Weight of fluid dsplaced by oil Weight of Soft spin

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Step 3

Weight of the sof...

soft spin = Psoftspin V
Where pon is the density of the soft spin
g is accelaration due to gravity
W
spin
V is the volume of the soft spin
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soft spin = Psoftspin V Where pon is the density of the soft spin g is accelaration due to gravity W spin V is the volume of the soft spin

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