Contents
How do you find a sinusoidal expression?
A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.
What is a sinusoidal expression?
A sinusoidal waveform is defined as: Vm = 169.8 sin(377t) volts. Then comparing this to our given expression for a sinusoidal waveform above of Vm = 169.8 sin(377t) will give us the peak voltage value of 169.8 volts for the waveform.
Why sinusoidal waveforms are popular?
The sine wave is important in physics because it retains its wave shape when added to another sine wave of the same frequency and arbitrary phase and magnitude. It is the only periodic waveform that has this property. This property leads to its importance in Fourier analysis and makes it acoustically unique.
What is the difference between periodic and sinusoidal?
Graphs of Sinusoidal Functions The sinusoidal function family refers to either sine or cosine waves since they are the same except for a horizontal shift. This function family is also called the periodic function family because the function repeats after a given period of time.
What are sinusoidal functions used for?
A mathematical model is a function that describes some phenomenon. For objects that exhibit periodic behavior, a sinusoidal function can be used as a model since these functions are periodic. However, the concept of frequency is used in some applications of periodic phenomena instead of the period.
What are the types of sinusoidal waves?
1: Two basic types of waves. (a) Longitudinal wave, where the oscillatory motion of the particles is in the same direction as that of the wave. (b) Transverse wave, where the oscillatory motion of the particles is perpendicular to that of the wave. The speed of the wave is the distance the wave travels per unit time.
What is another word for sinusoidal?
In this page you can discover 11 synonyms, antonyms, idiomatic expressions, and related words for sinusoidal, like: sinusoid, waveform, amplitude, hysteresis, sinewave, oscillatory, impedance, planar, logarithmic, kinematic and sine wave.
What are the advantages of sinusoidal?
The benefits of running your equipment and appliances on a pure sine wave include: Generates less electrical noise in your equipment. Means no lines on your TV set and no hum in your sound system. Microwave ovens cook faster.
Which is the correct answer for the sinusoidal expression?
The answer for the sinusoidal expression is: I understand everything except for the 19 degrees. The solutions say that the resultant waveform leads the curve i1 = 20sinwt by 19 degrees which is 0.332 rads, however I do not understand where the 19 degrees came from.
How to obtain a sinusoidal expression for an alternating current?
Obtaining sinusoidal expression. The instantaneous values of two alternating currents are given by i1 = 20sinwt amperes and i2 = 10sin(wt + pi/3) amperes. By plotting i1 and i2 on the same axes, using the same scale, over one cycle, and adding ordinates at intervals, obtain a sinusoidal expression for i1 + i2.”.
How to determine the magnitude of the sinusoidal function?
Determine the angle at which the magnitude of the sinusoidal function v = 10 sin 377t is 4 V. b. Determine the time at which the magnitude is attained. Solutions: The magnitude of 4 V (positive) will be attained at two points between 0° and 180°.
What is the period of a sinusoidal wave?
That is, each quarter (in time) of the wave is identical to any other if you simply flip it around the horizontal axis and/or rotate it upright about its peak. The time it takes to complete one cycle is called the period and is denoted with the symbol T (for Time).