# The gure below shows a similar scenario for a metal

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Unformatted text preview: echanics, Sixth Edition a a force on metal surface due to the deformed water-air 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 metal-water-air contact angle is 120◦ . t maximum-weight 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 water-air 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 15-cm 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.

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