Question

Hey guys. I want to rotate point which is expressed in cyllindrical coordinates P (r,Lambda,z) counter CW around x axes for 90 degrees. So, i want to get equations for transformation from cyllindrical to cartesian when cyllinder (and of course my point P) is rotated.
Standard equations for cyllindrical coordinates are:

x=rcos(Lambda)
y=rsin(Lambda)
z=z

So after rotation around x for 90 degrees (using rotation matrix Rx) I got following relation for rotated cyllinder.

x=rcos(Lambda)
y=-z
z=rsin(Lambda)

Are the equations correct? I assumed that only cyllinder rotated and axes remain same.

Answer 1

yes, that looks good.

Answer 2

yes fine