Conceptual Dynamics - Independent Learning

Plane Curvilinear Motion - n-t Coordinates

 

Circular Motion

 

Consider a car that travels around a circular test track of radius r.

 

 

The n-t coordinate velocity and acceleration equations are given below. What changes when considering circular motion?

 

v = ρ(dθ/dt) et        a = (dv/dt)et + (v2/ρ)en

 




 

 

 

We can rearrange the n-t equations for circular motion.

 

v= r(dθ/dt)

 

a = (dv/dt)et + (v2/r)en = r(d 2θ/dt 2)et + r(dθ/dt) 2en