hw11solutions - Niu (qn269) HW11 Tsoi (58020) This...

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Niu (qn269) – HW11 – Tsoi – (58020) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 oF 5) 10.0 points A sinusoidal wave traveling in the x direc- tion (to the leFt) has an amplitude oF 19 . 7 cm, a wavelength oF 39 . 7 cm and a Frequency oF 11 . 8 Hz. The displacement oF the wave at t = 0 and x = 0 is y = 4 . 8 cm and has a positive velocity here. ±ind the angular wave number oF the wave. Correct answer: 15 . 8267 rad / m. Explanation: Let : λ = 39 . 7 cm . ±or a sinusoidal wave with wavelength λ and Frequency f , the angular wave number k = 2 π λ = 2 π 39 . 7 cm × 100 cm m = 15 . 8267 rad / m . 002 (part 2 oF 5) 10.0 points ±ind the period oF the wave. Correct answer: 0 . 0847458 s. Explanation: Let : f = 11 . 8 Hz . The period is T = 1 f = 1 11 . 8 Hz = 0 . 0847458 s . 003 (part 3 oF 5) 10.0 points ±ind the angular Frequency oF the wave. Correct answer: 74 . 1416 rad / s. Explanation: The angular Frequency is ω = 2 π f = 2 π (11 . 8 Hz) = 74 . 1416 rad / s . 004 (part 4 oF 5) 10.0 points ±ind the phase velocity oF the wave. Correct answer: 4 . 6846 m / s. Explanation: The phase velocity is v = f λ = (11 . 8 Hz) (39 . 7 cm) 1 m 100 cm = 4 . 6846 m / s . 005 (part 5 oF 5) 10.0 points ±ind the magnitude oF the phase constant oF the wave. Correct answer: 14 . 1024 . Explanation: Let : t = 0 and x = 0 . A sinusoidal wave traveling in the x direc- tion can be written as y = A sin( k x + ω t φ ) , so y = A sin( φ ) φ = sin 1 p y A P = sin 1 ± 4 . 8 cm 19 . 7 cm ² = 14 . 1024 . 006 10.0 points A wave is sent along a long spring by mov- ing the leFt end rapidly to the right and keep- ing it there. The fgure shows the wave pulse at QR - part RS oF the long spring is as yet undisturbed. P S P Q R S Which oF the graphs correctly shows the relation between the original position x oF each point oF the spring and the corresponding displacement Δ x oF that point? (Displacements to the right are positive.)
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Niu (qn269) – HW11 – Tsoi – (58020) 2 1. x Δ x 2. x Δ x 3. x Δ x correct 4. x Δ x 5. x Δ x 6. x Δ x 7. None of these graphs is correct. Explanation:
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hw11solutions - Niu (qn269) HW11 Tsoi (58020) This...

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