Real life Sinusoids Functions Click Now to Get Free Solution

Question: Describe about the Real life SINUSOIDS? Answer: A Sinusoidal function is a special type of periodic function which repeats at regular intervals and looks like sine or cosine plots, i.e., smooth symmetrical waves comprised of troughs and crests. The troughs are mirror images of crests. The general form of any sinusoid function is: y = A sin (Bx + C) + h or y = A cos (Bx + C) + h where, |A| = Amplitude of function, 2p /|B| = Time period, h = vertical shift, -C/B = phase shift (horizontal shift) Any phenomenon having a periodic behavior or wave characteristics can be can be modeled and represented by sinusoids. Real life applications include: modeling of temperature variance over different periods, modeling the nature of wind, tidal and many other seasoning conditions, representing music waveforms, electric currents and radio broadcasting signals, representing various periodic motions, like pendulum's, engine's piston crankshaft etc. frequency optimization in architectural activities etc. The artwork design is inspired from some real life sinusoid plots. The pictorial representation on the graph paper is similar to common signs used to identify various activities so as to merge it with corresponding sinusoids. For example: the upper part of artwork demonstrates the overlapping of 4 sinusoid functions creating a visual also used to sign tidal waves. The multiple graphs used in creating the artwork are produced by changing various parameters on which the plot of sinusoid function depends, namely, its Amplitude, frequency, vertical and horizontal shift. The amplitude defines the modulus value of highest peak of the curve. Higher is the value of |A|, more is the size (amplitude) of curve. The frequency, defined as the inverse of Time period of wave, defines the number of periodic oscillations. Hence more is the value of B, less is the frequency. The vertical shift, defined by 'h' is the vertical distance of curve from origin. Negative value of 'h' represents the plot below X-Axis and positive value represents the plot above X-Axis. The lateral or horizontal shift, equal to -B/C represents the phase shift of the curve. Any change in above defining parameters will result in corresponding change in features and characteristics of the plot, however, the shape for all remains a sinusoid.