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How far are the high voltage pylons standing apart?

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A wire with a length of 60 m is hanging between two high voltage pylons.
The wire is connected to the pylons at a height of 50 m.
The middle part of the wire is 20 m above the ground level.
How far are the high voltage pylons standing apart?

posted Feb 8 by Karan Joglekar

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1 Answer

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Using the formula for a catenary s=sinh(x/c)
Where s=60, c=20 and x is distance of mid point to pole
60=20sinh(x/20)
3=sinh(x/20)
Sinh-1 (3) = x/20 =1.81845 (5 d.pl.)
X=20x1.81845 = 36.37 (2 d. pl)
Distance between poles = 2x = 72.74 metres(2 d. pl)

answer Feb 11 by Stanley Comley



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