Complex Waveforms

Well, wt stands for "omega * time" where "Omega" is the "angular frequency" usually in radians/second. So, you will, probably, need to convert those to degrees before adding/subtracting from the constant angles (i.e. 40° and -15°).

Not sure what Vol is ("open loop voltage"?) Strange, though, that the term is already being multiplied by 47, which would make this sine wave 47 times the open loop voltage?!?

Or you could convert the constant angles to radians -- depending on whether you want to take the sin of the values in degrees or in radians.

Hi Steve,

I just love college how they teach you all this stuff then it comes to the assignment and you feel lost.

So the equation: r = 80sinwt What on earth do i do with this?. My example shows 50sinƟ. as i did a full cycle i used Ɵ as the angle 0,30,60,90,120 ect 360

so 50sin0 = 0, 50sin30 = 25 ect ect

but in this question i just don't have the information to start with.

Hint: 1 radian = 57.2957795 degrees

so 40 degrees:

pi = 180 degrees

40 * (pi/180)
= (2pi)/9 = 0.6981

pi = 180 degrees

15 * (pi/180)
= (1pi)/12 = 0.2617

Looking at this i think i may need this in a degree answer as i need to plot a graph to show the waveform.

Looks good to me.

You could plot voltage vs radians ;)

Or, just convert the 'wt' terms to degrees.

the wt terms are the one thing that is confusing me, as i have converted the angles to radians. i Just don't understand th wt meaning. I feel i need a number in there but i don't understand what i need to do.

Also as in my example with the full cycle, would this be required 0 degree to 360....

College, this is high school Trig stuff. You should know, "wt," and be able to convert radians and degrees.

The Vol thing, I would disregard with an explanation that it is incorrect in the present form. This equation can be plotted using Excel. You simply create one column for the f*t product since you did not state what the frequency is, you go from o - 1, making the argument 0 - 2pi, +/- the pghase shift given in degrees.

Then add three more columns for each sin function then one last column where you sum each of the evaluation point. How many, that's up to you, 25, 50, up to you since it isn't given.

Last you plot the first column (x axis), the argument, then the last column (y axis) the summed evaluation points.

Hi,

Thanks for the information, yes i can convert this, i just confused my self. from looking around i believe that the wt = frequency and t = time.

as a sinusoidal supply waveform has a frequency in the uk of 50hz i think my equation should look like this:

80sinwt

80sin( 50hz x 10s) and the only thing that changes is t, if i go to 60 seconds (Graph) i will see the wave form over the 1 minute marker.

No if i am barking up the wrong tree please say

No the time scale is 1/50Hz or 20mS, which will take the argument (2*pi*w*t) from 0 to 2pi, which will show one complete cycle, which is really all you need because the rest just repeats.

Beside if the time scale is 60S which it isn't, what difference does that make?

Break up your increments into say 400uS, and have 50 increments in time which, 400uS * 50 is what, 20mS, which is 1/50 Hz.

Have one column with 50 time increments of 400uS,

400uS
800uS
1200uS
etc
etc

the 2nd column is

400uS * 1/50
800uS * 1/50
1200uS * 1/50
etc,
etc,

Th 3rd column evaluates the 2nd column, X*sin ( ...)

10 minutes you have a plot.

bq). ...from looking around i believe that the wt = frequency

wt is not the "frequency"

w stands for the angular frequency in radians per second. Multiply that by the time and you get the phase angle at that moment.

BTW: It's important to make a distinction between "frequency" and "angular frequency".

w: angular frequency in radian per second
v: frequency in cycles per second.

There are 2pi radians per cycle. That is the conversion factor between the two.

Admin:

I need you to step in here and do something to sanction this person's deliberate provocative comments (lisichka Lisichka ). We don't need this sort of disrespect in the forum and absolutely should not be tolerated.

Otherwise I have an open invitation for lisichka Lisichka at Gold's Gym.

Advise ASAP.

Earl

H