engineering application of sinsodial functions

[feline]

I have this question in my assignment but I do not have a clue where to start.

Three voltages are described by the follwoing equations:

v1 = 3 sin wt
v2 = 4 cos (wt + Pi/6)
v3 = v1 + v2

Given that w = 3.14 rad/sec, compile an action plan to produce graphs of the three voltages over the period t = 0ms to t = 20 ms and determine the values of R, w and omega in the equation:

v3 = R sin (wt + omega)

Follow the compiled action plan to produce the required results. Justify any modifications to the plan that prove necessary while obtaining these results.

 

[Deleted member 4993]

I have this question in my assignment but I do not have a clue where to start.

Three voltages are described by the following equations:

v1 = 3 sin wt
v2 = 4 cos (wt + Pi/6)
v3 = v1 + v2

Given that w = 3.14 rad/sec, compile an action plan to produce graphs of the three voltages over the period t = 0ms to t = 20 ms and determine the values of R, w and omega in the equation:

v3 = R sin (wt + omega)

Follow the compiled action plan to produce the required results. Justify any modifications to the plan that prove necessary while obtaining these results.

Follow the compiled action plan to produce the required results.

Please tell us what does this plan say - that is the starting point.

 

[feline]

reply

That is the question in its intity, there is ni further information unfortuantely.

 

[DrPhil]

I have this question in my assignment but I do not have a clue where to start.

Three voltages are described by the follwoing equations:

v1 = 3 sin wt
v2 = 4 cos (wt + Pi/6)
v3 = v1 + v2

Given that w = 3.14 rad/sec, compile an action plan to produce graphs of the three voltages over the period t = 0ms to t = 20 ms and determine the values of R, w and omega in the equation:

v3 = R sin (wt + omega)

Follow the compiled action plan to produce the required results. Justify any modifications to the plan that prove necessary while obtaining these results.

My action plan would be to pick plotting software - maybe Excel (my favorite is SigmaPlot). I would have a column for t with values 0,1,2,...,20 ms

The next column could be wt (don't forget the factor of 1000), and then columns for v1, v2, and v3 would give the framework necessary to generate a plot. Oh-oh .. just discovered a flaw in my plan. I have to ...

The hardest part will be to find the amplitude and phase angle of v3. Can we see your work on that, please? [The plots should give valuable clues!]