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A light wire is tightly stretched with tension F.
Chapter 15, Problem 24E(choose chapter or problem)
A light wire is tightly stretched with tension F. Transverse traveling waves of amplitude A and wavelength ?1 carry average power Pav,1 = 0.400 W. If the wavelength of the waves is doubled, so ?2 = 2?1, while the tension F and amplitude A are not altered, what then is the average power Pav,2 carried by the waves?
Questions & Answers
QUESTION:
A light wire is tightly stretched with tension F. Transverse traveling waves of amplitude A and wavelength ?1 carry average power Pav,1 = 0.400 W. If the wavelength of the waves is doubled, so ?2 = 2?1, while the tension F and amplitude A are not altered, what then is the average power Pav,2 carried by the waves?
ANSWER:Solution 24E Step 1 of 5: The average power which is proportional to the square of the amplitude and angular frequency is given by, P avr= 1 F A2 2………..1 2 Where P avraverage power, F is restoring force(tension), is linear mass density , is angular frequency and A is amplitude.