- #1

- 307

- 19

1) V = rw and ##\vec V## = r ω##\vec e_{tan}##

2) a = rα and ##\vec a## = -##\frac{v^2}{r}####\vec e_{rad}## + rα##\vec e_{tan}##

Where ##\vec e_{tan}## is the unit vector along the tangent in increasing direction of θ

And ##\vec e_{rad}## is the unit vector along the radial outward.

From 1) we see that rω is the magnitude of velocity of particle executing circular motion and its direction is along tangent

But in 2) we see that magnitude of acceleration is rα but this is not the magnitude of total acceleration

How could you explain that rα is not the magnitude of total α