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482_Physics ProblemsTechnical Physics

482_Physics ProblemsTechnical Physics - 484 P16.36 Wave...

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484 Wave Motion P16.36 T = constant; v T = µ ; P = 1 2 2 2 µω A v (a) If L is doubled, v remains constant and P is constant . (b) If A is doubled and ω is halved, P ω 2 2 A remains constant . (c) If λ and A are doubled, the product ω λ 2 2 2 2 A A remains constant, so P remains constant . (d) If L and λ are halved, then ω λ 2 2 1 is quadrupled, so P is quadrupled . (Changing L doesn’t affect P ). P16.37 A = × 5 00 10 2 . m µ = × 4 00 10 2 . kg m P = 300 W T = 100 N Therefore, v T = = µ 50 0 . m s P = 1 2 2 2 µω A v : ω µ 2 2 2 2 2 2 2 300 4 00 10 5 00 10 50 0 = = × × P A v a f e je j a f . . . ω ω π = = = 346 2 55 1 rad s Hz f . P16.38 µ = = × 30 0 30 0 10 3 . . g m kg m λ ω π = = = = = = × 1 50 50 0 2 314 2 0 150 7 50 10 1 2 . . : . : . m Hz s m m f f A A (a) y A x t = F H G I K J sin 2 π λ ω y x
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