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what is the dimensional formula for frequency of a vibrating string. The equation for the fundamental frequency of an ideal taut string is. Find through dimensional analysis a formula that describes how the fundamental frequency of vibration in a string f depends on the length of the string l the tensile force in the string T and the length of the string length density which is the mass of the string per unit length.
The Frequency Of Vibration Of String Is Given By V P 2l F M 1 from doubtnut.com
F 12LTm where. Fundamental harmonics as computed by above string vibration formulas String no. A vibration in a string is a wave.
Although the fundamental string shown above is depicted as a two-dimensional object the strings in string theory are one-dimensional.
If the length or tension of the string is correctly adjusted the sound produced is a musical note. L is the length of the string in centimeters cm m is the linear density or mass per unit length of the string in gmcm. As you observe the vibration you should be able to visualize two wave pulses one travelling clockwise the other travelling counterclockwise. The time for one complete trip equals one period - if the string wave vibrating with a fundamental frequency of 440 Hz then this vibration cycle would repeat itself 440 times per second.
