# Location of an object moving in a circular path

1. Feb 23, 2010

### 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?

2. Feb 23, 2010

### 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.

3. Feb 23, 2010

### vbman11

ok so, im 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?

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook