Many times when we take our headphones out of our bag, we realize that they are tangled in a tight knot. You may not have touched them all day. So how did they manage to get tangled?
Well, there's actually a mathematical formula that describes exactly how this happens. A paper titled "Spontaneous Entanglement of a Cable" by Dorian M. Raymer and Douglas E. Smith of the Department of Physics at the University of California, San Diego explained this phenomenon.
To understand why headphones get tangled, researchers used the mathematical “knot theory.” They conducted 3,415 tests shaking headphones in a box and found some interesting results. The results showed that two main factors cause tangles: the “critical cable” and the “shaking time.”
According to the document, the chances of cables getting tangled depend on their length. If a cable is shorter than 46 centimeters, then it will rarely get tangled. However, the chance of knots increases with increasing cable length. For lengths up to 2 meters, there is about a 50% chance of getting tangled. However, cables longer than 2 meters have no greater chance of getting tangled.
Raymer and Smith also noted that the Y-shape of the headphones significantly increases the likelihood of them getting tangled.
Physicists also found that when the ends of headphones are loose, they are easier to get tangled. When a bag is shaken, these loose ends tend to move and tangle into loops.
Basically, typical headphones are about 120-160 centimeters long, so every time you put the headphones in your pocket, there's a 50% chance that they'll get tangled.
To recap, scientists say there's nothing you can do to prevent your headphones from getting tangled when you put them in your pocket or bag.
