In: Advanced Math
i)prove that a cylindrical co-ordinate system is orthogonal. iii) Express the velocity v and acceleration of a particle in cylindrical co-ordinates. iii) find the square of the element of arc length in cylindrical co-ordinates and determine the corresponding scale factors. iv) The transformation from retangular to cylindrical co-ordinates is defined by the transformation:. x=pcos#,y=psin#, z=z find the Jacobian of the transformation