Instead of creating a simple simulation for you to watch, this time I'll give you instructions on how to use GeoGebra to create your own simple simulation. Hopefully, this will help you see the connections between the mathematical model of circular motion and the actual physical experience of circular motion.
In the GeoGebra display below, you can enter commands through the "Input" bar (next to the plus sign in the upper left). Click on the keyboard icon in the lower left corner of the display. You should be able to just type in commands at that point. You can use the display's keyboard to enter Greek letters. [br][br]Enter the following (including an "enter" or "return" at the end of each line):[br][br]A = slider[-5, 5][br][math]\omega[/math] = slider[-5, 5][br]t = slider[0, 22] [br]P=( A*cos([math]\omega[/math] *t), A*sin([math]\omega[/math] *t) )[br][br]At this point, the point P should be in the graphing window along with three sliders. You should adjust the sliders to make A and [math]\omega[/math] non-zero. [br][br][b]Final step:[/b] If you hover the mouse over the input line for the t variable, you'll see a triangular icon to "play" that variable as an animation. Click play, but don't click the "X" icon. That will delete that variable and anything that uses it![br]
What does "playing" the variable [i]t[/i] do; what does that simulate; and how is that simulation affected by changing [math]\omega[/math] (including making [math]\omega[/math] negative)?
When you have completed this and played with it enough, leave what you have created in the GeoGebra space. I should be able to see it, and that will let me know that you've completed the task!