Recent content by BrandonUSC

okay when you say it that way I understand, I was confused by the fact that r is a 1dimensional measurement while radial direction is changing. Thanks

I appreciate your effort in this answer, but the problem is I can follow the derivations, however I don't understand it intuitively. If I'm sitting on a large rotating rod, and the end of the rod is changing in length, my perception of this change in length is independent of the rate at which we...

Okay here's my thought process: The radial position is r. The second time derivative of position is acceleration. Then if the second time derivative of the radial position is r'' Then shouldn't the acceleration of the radial component of position be r''?

Ignoring your pedantic and condescending tone, yes I am aware of these facts. As you can see in my post if you actually read it, I refer to r'' as the rate at which the rate is changing. In cylindrical coords the velocity vector along the radius is always in the r direction. If you have nothing...

I'm basing this off the equation for acceleration in cylindrical coords: ar = r''-r*θ'2

My question is why isn't the radial component e→r of acceleration in cylindrical coords simply r'' ? If r'' is the rate at which the rate of change of position is changing in the radial direction, wouldn't that make it the radial acceleration? I.e, the acceleration of the radius is the...