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( ).
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.
Quote:
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: .,\;\;y=\cos(\;))
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 beseconds, let
. . whereis in seconds.