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Find the rms and average value of the waveform given below
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- Please answer in detail and I will upvote. Thank you.his 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 remainsProblem: As often noted in lecture, a simple harmonic without particular boundary conditions is highly unphysical - it extends into infinity in space. However, in Lecture 4, we have come to realise how sinusoidal standing waves serve as components in the Fourier series for more complex solutions to the wave equation. In this Discussion, we will examine the wave packet, a construction of a physical wave with finite spatial range. (a) First, to capture the full generality of the wave equation solutions, find the complex right-moving simple harmonic wave. (b) We assert k = . Then, a general wave packet u(x, t) can be constructed as the sum across all possible k values of the right-moving simple harmonic wave, each with amplitude coefficients A(k). What is the form of u(x, t)? Note that we do not have the boundary conditions that would produce standing waves. (c) A(k) is found such that u(x, 0) does not stretch indefinitely in space. What is then an expression for A(k) in terms of u(x, 0)?…
- A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate the value of maximum velocity of up and down motion of the string at midpoint. Provide your anwser in m/s.How many natural frequencies does the desk surface you are writing on theoretically have?A cardboard tube from a roll of paper towels is about 28 cm long. If it is -10° C outside, what would the first 3 harmonic frequencies be?