Thread: Parameterize the motion of an object traveling a circular path.

Parameterize the motion of an object traveling a circular path clockwise beginning at a point (4,0). The object completes one revolution in 3.14 seconds. It has to be in the form of x=sin( ) and y=cos( ).

What have you tried?

Where are you stuck?

Your answer can't be in the form x= cos( ), y= sin( ) because will never give (4, 0). Did you mean x= Acos( ), y= Asin( ) for some constant, A?

Hello, cdiesel89!

Please give us the original wording.

Parameterize the motion of an object traveling a circular path
clockwise beginning at a point (4,0). . Where is the center?

The object completes one revolution in 3.14 seconds.
It has to be in the form: .

The given forms are for a unit circle (radius 1).

There are a brizillion possible circles.
One of them has it center at (3,0).
Its equation is: .
The parametric equations are: .


HallsofIvy is correct.

If the center is at the Origin and the radius is to be 4,
. . the forms must have a leading coefficient.

One set of parametric equations is: .


If the period is to be seconds, let
. . where is in seconds.