Determining unit vector of acceleration and velocity in circular motio

 P: 819 As a particle orbits around a circle, the unit vector of the velocity and acceleration component is constantly changing, so, how do I determine the unit vector?
 Homework Sci Advisor HW Helper Thanks P: 12,958 The unit vector for, say, velocity, is the velocity vector divided by the vector-magnitude - same as for any motion. What is the problem? Can you provide an example where a difficulty arises? $$\vec v = v\hat v: \hat v = \frac{\vec v}{v}$$ eg. Circular motion about origin at constant speed v and radius R, in Cartesian coordinates: ##\vec r (t) = \hat\imath R\sin\omega t + \hat\jmath R\cos\omega t : v=R\omega## The unit vector for position would be: ##\hat r = \hat\imath \sin\omega t + \hat\jmath \cos\omega t ##
P: 819
 Quote by Simon Bridge The unit vector for, say, velocity, is the velocity vector divided by the vector-magnitude - same as for any motion. What is the problem? Can you provide an example where a difficulty arises? $$\vec v = v\hat v: \hat v = \frac{\vec v}{v}$$ eg. Circular motion about origin at constant speed v and radius R, in Cartesian coordinates: ##\vec r (t) = \hat\imath R\sin\omega t + \hat\jmath R\cos\omega t : v=R\omega## The unit vector for position would be: ##\hat r = \hat\imath \sin\omega t + \hat\jmath \cos\omega t ##
Just as I suspected. I wanted to confirm my understanding.
Thanks for the input.

 Homework Sci Advisor HW Helper Thanks P: 12,958 Determining unit vector of acceleration and velocity in circular motio Gah - I think I got suckered: well done! In future - if you want to confirm your understanding, just state your understanding and ask.

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