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Unformatted text preview: echanics, Sixth Edition
a a force on
metal surface due to the deformed waterair interface. The ﬁgure below shows a similar scenario for a
metal ball. Determine the maximum diameter of a metal ball, with a density of ρmetal = 2700 [kg/m3 ], which can be
suspended on the water’s surface. The metalwaterair contact angle is 120◦ . t maximumweight condition, the ball will float with the surface tension
orce nearly vertical. As shown in the figure,
f the ball will be balanced
rd surface tension force. W g o 6 D3 Fig. P1.64 6
o Figure 4: A ball ﬂoating on the surface. g A.3, surface tension for a clean waterair surface is 0.0728 N/m. Thus 6 (0.0728 N / m) 4.06 mm
0.00406 m
Ans.
(2700 kg / m3 )(9.81 m / s 2 )
___________________________________________________________
Dmax system in Fig. P1.65 is used to
e pressure p 1 in the tank by
the 15cm height of liquid in
iameter tube. The fluid is at
ulate the true fluid height in
nd the percent error due to
if the fluid is (a) water; and
. Fig. P1.65 This is a somewhat more realistic variation of Ex. 1.9. Use values from that
contact angle :
9640 N/m3,
0:
60 C:
4Y cos
D h or: h 0.0275 m, 15.0 – 2.75 cm 12.25 cm (+22% error) Ans. (a) 132200 N/m3, h true at 60 C: 4(0.0662 N/m)cos(0 )
(9640 N/m3 )(0.001 m) 130 : 4Y cos
D 4(0.47 N/m)cos 130
(132200 N/m3 )(0.001 m) 0.0091 m,
3...
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This document was uploaded on 02/06/2014.
 Winter '09
 Shear, Strain

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