P17_016.PDF
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Chapter 17 - 17.16
16. Let the cross-sectional area of the wire be
A
and the density of steel be
ρ
. The tensile stress is given by
τ/A
where
τ
is the tension in the wire. Also,
µ
=
ρA
.Thus,
v
max
=
τ
max
µ
=
τ
max
/A
ρ
7
.
0
=
10
8
N
/
m
2
7800kg
/
m
3
×
=3
.
0
×
10
2
m
/
s
which is indeed independent of the diameter of the wire.
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