A 3.0 m long wire with linear mass density of 0.0025 kg/m isdetermined to have t

Question

A 3.0 m long wire with linear mass density of 0.0025 kg/m isdetermined to have two adjacent resonant frequencies at 252 Hz and336 Hz. a) What is the fundamental frequency of the wire? b) What is the maximum tension the wire will be subjectedto? Thank you A 3.0 m long wire with linear mass density of 0.0025 kg/m isdetermined to have two adjacent resonant frequencies at 252 Hz and336 Hz. a) What is the fundamental frequency of the wire? b) What is the maximum tension the wire will be subjectedto? Thank you

Explanation / Answer

(a) fundamental freq = 336 - 252 =    84 Hz . (b)     f = v / 2L .           f = (Tension/) / 2L .           4f2 L2 = Tension / .     Tension = 4 f2L2 = 4 * 0.0025 * 842 *3.02=    635Newtons

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