hw38 - Muraj Hamza – Homework 38 – Due May 7 2006 11:00...

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Unformatted text preview: Muraj, Hamza – Homework 38 – Due: May 7 2006, 11:00 pm – Inst: Florin 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points A transverse wave has a wave function y = (0 . 2 m) sin ' 2 π £ (2 m- 1 ) x- (2 s- 1 ) t /“ where x and y are in meters and t is in seconds. This wave is 1. a standing wave of maximal amplitude 2 m, wavelength 0.2 m and frequency 4 π Hz = 6 . 28 Hz. 2. a traveling wave of amplitude 0.2 m, wave- length 0.5 m and frequency 0.5 Hz. 3. a traveling wave of amplitude 0.2 m, wavelength 4 π m = 12 . 5 m and frequency 2 π Hz = 6 . 28 Hz. 4. a traveling wave of amplitude 0.2 m, wave- length 2 m and frequency 2 Hz. 5. a traveling wave of amplitude 0.2 m, wave- length 0.5 m and frequency 2 Hz. correct 6. a standing wave of maximal amplitude 0.2 m, wavelength 0.25 m and frequency 2 π Hz = 3 . 14 Hz. 7. a traveling wave of amplitude 2 m, wave- length 0.4 m and frequency 60 Hz. 8. a standing wave of maximal amplitude 0.4 m, wavelength 1 m 4 π = 0 . 08 m and fre- quency 2 Hz. 9. a standing wave of maximal amplitude 0.2 m, wavelength 0.5 m and frequency 2 Hz. 10. a traveling wave of amplitude 0.5 m, wave- length 0.2 m and frequency 2 Hz. Explanation: Mathematically, traveling waves have gen- eral form y ( x,t ) = ψ ( x ± v t ) while standing waves have general form y ( x,t ) = A ( x ) × Ψ( t ) . The wave in question has form y ( x,y ) = A × sin( k x- ω t ) so it is clearly a traveling wave . Also, it is a harmonic wave of amplitude A = 0 . 2 m , wavenumber k = 2 π × (2 m- 1 ) and angular frequency ω = 2 π × (2 s- 1 ) . Consequently, the cyclic frequency is f = ω 2 π = 2 Hz and the wavelength is λ = 2 π k = 1 2 m- 1 = 0 . 5 m ....
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hw38 - Muraj Hamza – Homework 38 – Due May 7 2006 11:00...

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