A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the following equation: y(x,t) = 0.1 sin⁡(2πx) cos⁡(100πt). How many loops would appear on the string if the velocity is increased by a factor of 2 while the frequency is held constant?

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A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the following equation: y(x,t) = 0.1 sin⁡(2πx) cos⁡(100πt). How many loops would appear on the string if the velocity is increased by a factor of 2 while the frequency is held constant?

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