File talk:Acceleration components.JPG

This equation for centripetal acceleration in the image is wrong. 1/mag(v) is not equal to v^2/R, which is the correct value. As a quick check, the units are wrong and the sum doesn't work out to dv/dt.


 * Thanks for pointing out this problem; I have fixed the labeling. The basis of the two terms is:
 * $$ \mathbf{v} = \frac{\mathbf{v}}{|\mathbf{v}|}| \mathbf{v}| \, $$
 * $$ \frac{d}{dt} \mathbf{v} = | \mathbf{v}|\frac{d}{dt} \frac{\mathbf{v}}{|\mathbf{v}|} + \frac{\mathbf{v}}{|\mathbf{v}|}\frac{d}{dt} | \mathbf{v}|, $$

or
 * $$ \frac{d}{dt} \mathbf{v} = \mathbf{a_c} + \mathbf{a_t} \ . $$

Thanks again. Brews ohare (talk) 14:31, 22 July 2010 (UTC)