- #1

- 7

- 0

## Homework Statement

Hi i have a question that how to convert the co-ordinates according to following statement?

Its no difficult to solve the simple conversion but the bold one are confusing me.

A=4x-2y-4z

Transform it into cylindrical co-ordinate system at

**P (ρ=4, ϕ=120o ,z=2)**

B=15x+10y

Transform it into cylindrical co-ordinate system at

**P(x=3, y=4, z=-1)**

**2. The attempt at a solution**

Equations for converting Cartesian to cylindrical coordinates:

r= [x

^{2}+ y

^{2}

^{1/2}

ϕ= tan

^{-1}= y/x

z=z

by putting values

For First question:

r=√20=4.472

ϕ= -26.57

z=-4

For Second question:

r= 18.03

ϕ= 33.69

z=0