An acoustic signal is composed of the first three harmonics of a wave of fundamental frequency 454 Hz. If these harmonics are described, in order, by cosine waves with amplitudes of 0.470, 0.840, and 0.860, what is the total amplitude of the signal at time 0.961 seconds? Assume the waves have phase angles θn = 0.
An acoustic signal is composed of the first three harmonics of a wave of fundamental frequency...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
Frequency Analysis Quiz Q1. You have been asked to generate a single signal by summing three different sine waves of equal length (say 5 seconds). The resulting signal is sampled at a rate of 250 Hz. The frequencies of the sinusoidal components are 25 Hz, 40 Hz and 95 Hz. The amplitudes of the signals are 2.0,3.0 and 5.0 units respectively. You have been asked to plot the signal against time. Write the text for a simple m- script that...
Program from problem 1: (Using MATLAB) % Sampling frequency and sampling period fs = 10000; ts = 1/fs; % Number of samples, assume 1000 samples l = 1000; t = 0:1:l-1; t = t.*ts; % Convert the sample index into time for generation and plotting of signal % Frequency and amplitude of the sensor f1 = 110; a1 = 1.0; % Frequency and amplitude of the power grid noise f2 = 60; a2 = 0.7; % Generating the sinusoidal waves...
PROBLEM 2 150 pts.] A signal is consist of three sine functions: the first one, , has a wave frequency of 50 Hz, the second one, 2, has 100 Hz, and the last one, r3, has 200 Hz. However, each function has different amplitude: the amplitude of the first signal component x! is 10 cm, the amplitude of the second signal component xi s 5 cm; and the amplitude of the last signal component t3 is 1 cm. As a...
Vibration - Wave - Light Some of the learning outcomes of this course are to "describe vibrations, waves, sound, and musical sounds both qualitatively and quantitatively" and to "describe light, light waves, color and image formation both qualitatively and quantitatively." This assignment will specifically address applications of these concepts. Several situations will be described and you will arrange certain situations in a particular order There is a separate worksheet supplied with this assignment where you will write your answers. There...
,50, the standing wave shown in Figure 7-30 is set up on a string, The string has length of s t and At time locity 50 ft/s. What are the frequencies of the first eight allowed normal modes on this string- a)25,50, 75, , . . , 17.5, 20.0 Hz b) 2.5,75, 12.5,... ,32.5, 375 Hz c) 5, 10, 15,,35, 40 Hz d) 5, 15, 25, .,65, 75 Hz e) 10, 20, 30, .,80 Hz lex wave shown at t-0...
first three answers are correct but can not get the equation of the wave correct Course: PHYS-1050-A-Introd... X WebWork : Ph 8-1050A-Fall... Home - Socrative (1 point) The snapshot graph at 1 = 3 s and the history graph at x = 2 cm of a wave are shown below (snapshot on left, history on right). ucn) y(cn) NANNA LV W a. What are the amplitude, frequency, and speed of the wave? Amplitude = 1 Frequency - 1 Hz Speed...
12. A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a sound standing wave in an open-open tube. In particular, both ends of the rod are anti-nodes. What is the fundamental frequency of a 2.50 m -long aluminum rod? The speed of sound in...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...