Part A If a vibrating system has total energy E 0 , what will its total energy b
ID: 2242032 • Letter: P
Question
Part A If a vibrating system has total energy E0, what will its total energy be (in terms of E0) if you quadruple the amplitude of vibration? Part B If you want to quadruple the total energy of a vibrating system with amplitude A0, what should its new amplitude be (in terms of A0)?Part A If a vibrating system has total energy E0, what will its total energy be (in terms of E0) if you quadruple the amplitude of vibration? Part B If you want to quadruple the total energy of a vibrating system with amplitude A0, what should its new amplitude be (in terms of A0)? Part B If you want to quadruple the total energy of a vibrating system with amplitude A0, what should its new amplitude be (in terms of A0)?
Explanation / Answer
a) E/E0 = (A/A0)^2 ==> E = (4^2) E0 ==> E = 16 E0 ==> Answer is 16 ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- b) E/E0 = (A/A0)^2 ==> A/A0 = sqrt(E/E0) ==> A = sqrt(4) A0 ==> E = 2 E0 ==> Answer is 2