Location of an object moving in a circular path

[vbman11]

if i know the speed and the radius of the turn how can I find the location of the object(x,y Cartesian) of the object with Time?

 

[Nabeshin]

You could describe the circle parametrically as:
$$x=r cos (\alpha)$$
$$y=r sin (\alpha)$$

Then, knowing v, you can find the period it should take for the object to complete one revolution and compute alpha in terms of your normal time variable.

 

[vbman11]

ok so, I am guessing $$\alpha$$ is the angle in radians and r is the radius. so I use the speed(s) and time(t) to get the distance then divide that by the circumference then multiply by 2$$\pi$$ to get the radians to put into those equations?