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31. For our estimate of
V
submerged
we interpret “almost completely submerged” to mean
V
submerged
≈
4
3
πr
3
o
where
r
o
=60cm
.
Thus, equilibrium of forces (on the iron sphere) leads to
F
b
=
m
iron
g
=
⇒
ρ
water
gV
submerged
=
ρ
iron
g
µ
4
3
πr
3
o
−
4
3
πr
3
i
¶
where
r
i
is the inner radius (half the inner diameter). Plugging in our estimate for
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Unformatted text preview: V submerged as well as the densities of water (1 . 0 g / cm 3 ) and iron (7 . 87 g / cm 3 ), we obtain the inner diameter: 2 r i = 2 r o µ 1 − 1 7 . 87 ¶ 1 / 3 = 57 . 3 cm ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Force

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