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what is the dimensional formula for frequency of a vibrating string. Vibrating strings are the basis of string instruments such as guitars cellos and pianos. Resonance causes a vibrating string to produce a sound with constant frequency ie.
28 The Frequency Of Vibration Of A Stretched String V May Depend On Length L Tension T And Mass Per Unit Length Of The String Using The Method Of Dimensions Derive The from www.toppr.com
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. F is the frequency in hertz Hz or cycles per second. A 2 440 2 2412 110 Hz 6.
If the length or tension of the string is correctly adjusted the sound produced is a musical note.
Any proportionality constant k is assumed to be dimensionless. Vibrating strings are the basis of string instruments such as guitars cellos and pianos. Resonance causes a vibrating string to produce a sound with constant frequency ie. B 3 440 2 1012 246942 Hz 3.
