The following waveform has been measured at a sweep time of 50 + 2%. ст
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- Show that the equation of motion of identical atoms of mass M in a chain, K (Un+1+ Un-1 –- 2Un) , dt2 becomes the continuum elastic wave equation, with vs as the sound velocity for the long wavelengths, 1 0²Uhis problem on paper before attempting to program it in Octave.Begin with a cube of edge length, x > 20 in. The edge length of the cube shrinks at a rate of r < 0.5 in/s. Ask the user to specify the original edge length (be sure to communicate that the number must be larger than 20 and units are in inches) Ask the user to choose a shrink rate (be sure to communicate units and range of acceptable values). Ask the user to specify the time elapsed (be sure to communicate units and range of acceptable values). Report back to the user what percent of the original volume remains. Report back to the user what percent of the original surface area remainsSnapshot: This a snapshot at t = 2s of the wave function: Calculate or read from the graph: y(x,t) = Axsin 2 × sin [2x (1-1)] a) Amplitude A, the wavelength A and the wave number k. b) Determine all possible periods T consis- tent with the graph. For the largest pe- riod T calculate the speed of the propaga- tion v. In which direction does the wave propagate (in +x or -x)? c) What is the maximal speed and accelera- tion of the points along the wave? y(m) 2 1 1 2 3 4 x(m)
- Observations of the water particle motions in a small amplitude wave system have resulted in major semiaxis=10cm and minor semiaxis=5cm for a total water depth of 1m. These observations apply for a particle whose mean position is at middepth. What are the wave height, period, and wavelength?Determine the frequency response [M(w) and (w)] for an instrument having a time constant of 10 ms. Estimate the instrument's usable frequency range to keep its dynamic error within 10%.