Determining unit vector of acceleration and velocity in circular motioby negation Tags: acceleration, circular, determining, motio, unit, vector, velocity 

#1
Jan1314, 08:05 PM

P: 705

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?




#2
Jan1314, 08:47 PM

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P: 11,070

The unit vector for, say, velocity, is the velocity vector divided by the vectormagnitude  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 ## 



#3
Jan1314, 09:34 PM

P: 705

Thanks for the input. 


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