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exam_1_review [2014/04/19 08:06] wikimanager [Review problem 2] - solution |
exam_1_review [2014/04/19 19:26] (current) wikimanager [Review problem 1] |
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* a) Which of these waves travel in the $+x$ direction? (3 pts) | * a) Which of these waves travel in the $+x$ direction? (3 pts) | ||
+ | * <color green>waves 1 and 4 </color> | ||
+ | * <color green>(look for opposite signs in front of the //x// and //t// terms inside the cos or sin function)</color> | ||
* b) Which of these waves have the same wavelength as wave 1? (3 pts) | * b) Which of these waves have the same wavelength as wave 1? (3 pts) | ||
+ | * <color green>wave 4 </color> | ||
+ | * <color green>(look for the same magnitude of the coefficient in front of //x// inside the cos or sin function)</color> | ||
* c) Which of these waves have the same amplitude as wave 2? (3 pts) | * c) Which of these waves have the same amplitude as wave 2? (3 pts) | ||
+ | * <color green>wave 5 </color> | ||
+ | * <color green>(look for the same magnitude of the coefficient in front of the cos or sin function)</color> | ||
* d) Which of these waves have the same period as wave 3? (3 pts) | * d) Which of these waves have the same period as wave 3? (3 pts) | ||
+ | * <color green>wave 1 </color> | ||
+ | * <color green>(look for the same magnitude of the coefficient in front of //t// inside the cos or sin function)</color> | ||
* e) Which of these waves have the same speed as wave 4? (3 pts) | * e) Which of these waves have the same speed as wave 4? (3 pts) | ||
+ | * <color green>wave 5 </color> | ||
+ | * <color green>(look for the same magnitude of the ratio of the coefficients in front of //t// and in front of //x// inside the cos or sin function)</color> | ||
+ | |||
+ | <color blue>See [[start#equation_sheet_ch14|Equation sheet for Ch. 14, bullet #6]] for details...</color> | ||
+ | |||
+ | ===All of the parameters for each wave are summarized below=== | ||
+ | ^ Wave ^ Direction ^ Amplitude (m) ^ Wavelength (m) ^ Period (s) ^ Frequency (Hz) ^ Magnitude of speed $\left(\frac{\mathbf m}{\mathbf s}\right)$ ^ | ||
+ | | 1 | $+x$ | 0.12 | $\frac{2\pi}{3}$ | $\frac{2\pi}{21}$ | $\frac{21}{2\pi}$ | 7 | | ||
+ | | 2 | $-x$ | 0.15 | $\frac{\pi}{3}$ | $\frac{\pi}{21}$ | $\frac{21}{\pi}$ | 7 | | ||
+ | | 3 | $-x$ | 0.13 | $\frac{\pi}{3}$ | $\frac{2\pi}{21}$ | $\frac{21}{2\pi}$ | 3.5 | | ||
+ | | 4 | $+x$ | 0.27 | $\frac{2\pi}{3}$ | $\frac{\pi}{6}$ | $\frac{6}{\pi}$ | 4 | | ||
+ | | 5 | $-x$ | 0.15 | $\frac{2\pi}{9}$ | $\frac{\pi}{18}$ | $\frac{18}{\pi}$ | 4 | | ||
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