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# If the tension in the string is doubled what will be the effect on the speed of standing waves in the string?

Updated: 10/23/2022

Wiki User

15y ago

The speed of the standing waves in a string will increase by about 1.414 (the square root of 2 to be more precise) if the tension on the string is doubled. The speed of propagation of the wave in the string is equal to the square root of the tension of the string divided by the linear mass of the string. That's the tension of the string divided by the linear mass of the string, and then the square root of that. If tension doubles, then the tension of the string divided by the linear mass of the string will double. The speed of the waves in the newly tensioned string will be the square root of twice what the tension divided by the linear mass was before. This will mean that the square root of two will be the amount the speed of the wave through the string increases compared to what it was. The square root of two is about 1.414 or so.

Wiki User

15y ago