How do I plot purely symbolic functions?

Questions
1

Hello,
I need to plot the following function:
x(t) = A * (wo*Sin(w*t) - w*Sin(wo*t))

Is there a way to plot the function without substituting values for the constants?

2

How do I plot purely symbolic functions?

3

How do you imagine a purely symbolic plot to look?

Not being able to grasp the concept of a purely symbolic plot, here is a Manipulate that explicitly substitute values:

x[a_, wo_, w_, t_] := a (wo Sin[w t] - w Sin[wo t])

Manipulate[
 Plot[
  x[a, wo, w, t], {t, 0, 100},
  PlotRange -> {Automatic, {-2, 2}}
  ],
 {{a, 1}, -1, 1},
 {{wo, 1}, -1, 1},
 {{w, .1}, -1, 1}]

out.gif

4

Thanks Simon, I didn’t know that it was possible to write a loop like that. I’ve seen my textbook’s plots of functions who’s amplitudes are made up of undefined constants; the textbook then shows a plot who’s vertical axis’ units are multiples of the undefined amplitude of the function. So the first tic mark on the plot would read F/mw, the second tic would read 2F/mw, the third tic would read 3F/mw, etc. The author of the book stated that the plots in the book were made using MathCad, so I’m not assuming Mathematica can do this also. Thanks for the reply!