Register to reply 
Determining unit vector of acceleration and velocity in circular motio 
Share this thread: 
#1
Jan1314, 08:05 PM

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?



#2
Jan1314, 08:47 PM

Homework
Sci Advisor
HW Helper
Thanks
P: 13,124

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: 819

Thanks for the input. 


Register to reply 
Related Discussions  
Unit Normal Vector in Acceleration  Classical Physics  17  
Vector procedure for determining the velocity and acceleration of rotating rigid body  Classical Physics  5  
Determining velocity/acceleration in vectorunit notation  Calculus & Beyond Homework  2  
Determining the Uncertainty of a Unit Vector using Error Propagation  Introductory Physics Homework  1  
Circular motion  determining expression for a position vector  Introductory Physics Homework  1 