A wave is propagating in Cartesian space is given in SI units by the expression »( 3;t) = 0.25sin2¬2. 2' 0.05
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1. Explain the conditions needed to determine the shape of the wave
function given above (no calculations here, just explain).
2. Solve for the shape of the wave (please state the criteria that enable
you to do so)
3. Calculate the following parameters based on the wave function above:
(i). Wavelength
(ii). Period
(iii). Frequency
(iv). Amplitude
(v). Phase velocity
(vi). Direction of propagation
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- and what techniques are used to observe them. 3. Assuming a sound speed of 1500 m/s; if we send a pulse towards nadir and receive an echo return after 0.5s, what is the depth of the seabed? If we send the same pulse through warmer water and still obtain a return after 0.5s, would you expect the depths to be the same? Explain.Which of the following statements best describes the wave below. Select all that apply. A. small trough B. large trough C. low amplitude D. high amplitude5. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a. Show your work for modeling an equation of the objects simple harmonic motion d = acos wt where d is distance from the rest position and the period is , w > 0. A hand sketch may be helpful, but is not required. b. What is the frequency? c. When t = 3 find the distance and interpret it.
- Please provide details about your resolution process. Please show complete, organized and correct work for each question. Questions without complete and clear work will earn no points. You’re welcome to use your textbook and notes, but no calculators. One way to tune a piano is to strike a tuning fork (which emits only one specific frequency), then immediately strike the piano key for the frequency being sounded by the fork, and listen for beats. If the frequency of an out-of-tune A4string is 420.0 Hz, and a tuner strikes an A4 tuning fork (frequency 440.0 Hz),a. …what beat frequency will the tuner hear?a) ????? = _____________________b. …and what frequency note will the tuner hear?b) ????? = _____________________Answer 6-10. It is easy to answer all. Thanks3 Wave properties A sinusoidal wave, graphed above at time t = 0 seconds, travels right with velocity 8.0 m/s. Being sure to specify units... t = 0 y v = 8 m/s -7 m Problem 3.1. What is this wave's amplitude ym? Problem 3.2. What is its wavelength \? Problem 3.3. What is its wavenumber k? 5 m x