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Question For a wave traveling in a string, by what factor would the tension need to be increased to double the wave speed? | |
Answer 4.0 | |
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| KillGorack | 2023-07-16 11:31:42 | The speed (v) of a wave traveling in a string is given by the equation: v = sqrt(T/μ) where: T is the tension in the string, and μ is the linear mass density (mass per unit length) of the string. If you want to double the speed of the wave, you would need to increase the tension in the string by a factor of (2)^2 = 4. This is because the speed of the wave is proportional to the square root of the tension. Therefore, to double the wave speed, the tension would need to be increased by a factor of 4. |