Solving the Problem: Calculating the Tension in a Sagging Wire

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The problem involves calculating the tension in a sagging wire caused by a bird weighing 1.40 kg, which causes a sag of 0.203 m between two telephone poles 50.5 m apart. The initial calculations included determining the length of one leg of the triangle formed by the sag and the hypotenuse, but the tension calculated was incorrect at 1708.35 N. The error was identified as neglecting the angles involved in the tension calculation. Correcting for the angles is essential to accurately determine the tension in the wire. Understanding the geometry of the situation is crucial for solving this type of physics problem.
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Ok this is the problem

The distance between two telephone poles is 50.5 m. When a 1.40 kg bird lands on the telephone wire midway between the poles, the wire sags 0.203 m. How much tension does the bird produce in the wire?

This is what I did

I divided 50.5/2 = 25.25m (to get length of one leg)
The other leg is = .203 m

So, Length of Hypotenuse = 25.2508

Weight of the bird = (9.81 * 1.40) = 13.734 N


Now to solve the problem I did the following


(Weight of the bird/ the distance of the wire sagged) * the hypotenuse

To get the tension


so, the tension is = 1708.35 N

But this is not the right answer, so can anyone tell me what I am doing wrong?
 
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Yep got it.. I don't know why I was ignoring the angles.

Thx.
 
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