Compare the wave function y (x,t) using sine and cosine functions. State their similarities and differences concerning the wave parameters : direction of motion , amplitude , frequency , period , wavelength , angular frequency , speed and wave number . Support your answer by Illustrating the salient points/parameters using graph/diagram of sinusoidal wave.

Compare the wave function y (x,t) using sine and cosine functions. State their similarities and differences concerning the wave parameters : direction of motion , amplitude , frequency , period , wavelength , angular frequency , speed and wave number . Support your answer by Illustrating the salient points/parameters using graph/diagram of sinusoidal wave.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 7PQ

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A wave is modeled with the function y(x,t)=(0.25m)cos(0.30m1x0.90s1t+3) . Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.
A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] 1. Find the wavelength, wave number, wave velocity, period and wave frequency. 2. Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s in case the value of amplitude A corresponds to the first letter of your name: letter E A. A=0.1 mB. A=0.15 mC. A=0.2 mÇ. A=0.25 mD. A=0.3 mDh. A=0.35 mE. A=0.4 mË. A=0.45 mF. A=0.5 m G. A=0.55 mGj. A=0.6 mH. A=0.65 mI. A=0.7 mJ. A=0.75 mK. A=0.8 mL. A=0.85 mLl. A=0.9 mM. A=0.95 m N. A=1.05 mNj. A= 1.1 mO. A=1.15 mP. A=1.2 mQ. A=1.25 mR. A=1.3 mRr. A=1.35 mS. A=1.4 mSh. A=1.45 m T. A=1.5 mTh. A=1.55 mU. A=1.6 mV. A=1.65 mX. A=1.7 mXh. A=1.75 mY. A=1.8 mZ. A=1.85 mZh. A=1.9 m 3. After constructing the graph, make the appropriate interpretations and comments from the result that you got graphically. 4. How much is the wave displaced during the time interval from t = 0 to t = 5 s? Does it match this with the graph results?…
Consider the sinusoidal traveling wave shown in the figure (this is a snapshot at a certain instant of time). Assume the wave travels at 1.0 m/s. a) What is the wave's amplitude? b) What is its wavenumber k? c) What is its angular velocity w? d) What is its period T? e) What is its frequency f?
Essay : Compare the wave function y (x,t) using sine and cosine functions. State their similarities and differences concerning the wave parameters : direction of motion , amplitude , frequency , period , wavelength , angular frequency , speed and wave number . Support your answer by Illustrating the salient points/parameters using graph/diagram of sinusoidal wave.
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A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] 1. Find the wavelength, wave number, wave velocity, period and wave frequency. 2. Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s and the value of amplitude A=0.4m. 3. After constructing the graph, make the appropriate interpretations and comments from the result that you got graphically. 4. How much is the wave displaced during the time interval from t = 0 to t = 5 s? Does it match this with the graph results? Justify your answer. Is the material transported long wave displacement? If yes, how much material is transported over time interval from t = 0 to t = 5 s? Comment on your answer. We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) 5. Find the resultant wave function analytically. 6. Study how the resulting…
Direction: Write the given and formula. Show your complete and detailed solution. Calculate the frequency of a sound wave with a period of 2.27 x 10-3. After that, find the (a) period of vibrations and (2) angular frequency. A sound source producing 1.00 kHz waves moves toward a stationary listener at one-half the speed of sound. What frequency will the listener hear? A car alarm is emitting sound waves of frequency of 520 Hz. You are riding a motorcyle travalling away from the car. How fast must you be travelling if you detect a frequency of 490 Hz.
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SITUATION 5: Shown below is the plot of a wave function that models a wave at time t 0.00s and t= 2.00s. Take crests of the dotted line and solid line at 0.25m and 0.9m, respectively. %3D a. Determine the amplitude and wave number of the wave b. Calculate the wave speed and angular frequency of the wave c. Write the wave function of the wave d. Say the dotted and solid waves travel in the opposite direction, write the wave function of the resulting standing wave y(m)4 0.40 t 0.00 s t = 2.00 s 0.30 0.20 0.10 0.00 -0.10 x(m) -0.20 -0.30 -0.40 - 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 2. 1.
SITUATION 5: Shown below is the plot of a wave function that models a wave at time t = 0.00s and t = 2.00s. Take crests of the dotted line and solid line at 0.25m and 0.9m, respectively. a. Determine the amplitude and wave number of the wave b. Calculate the wave speed and angular frequency of the wave c. Write the wave function of the wave d. Say the dotted and solid waves travel in the opposite direction, write the wave function of the resulting standing wave y(m) 0.40 t = 0.00 s t = 2.00 s 0.30 0.20 0.10 0.00 x(m) -0.10 -0.20 --0.30 -0.40 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2.