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If a transmission line in a cold climate collects ice, the increased diameter tends to cause vortex formation in a passing wind. The air pressure variations in the vortexes lend to cause the line to oscillate (gallop), especially if the frequency of the variations matches a resonant frequency of the line. In long lines, the resonant frequencies are so close that almost any wind speed can set up a resonant mode vigorous enough to pull down support towers or cause the line to short on with an adjacent line. If transmission line has a length of 310 m, id linear density of 3.35 kg/mı, and a tension of 90.1 MN, what are the frequency of the fundamentail made and (b) the frequency difference between sucessive modes? |
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