Group 8 Nicolas Hall Aaron Lowe Chin Joo Sin
Curl of velocity For Cartesian Coordinates
er e er e r1 r2 2 1 Unfortunately, in polar coordinates, the unit vectors change with position.
er e er e r1 r2 2 1 Some questions to ask are: Does er change with r? No Does e change with r? No Does er change with ? Yes Does e change with ? Yes Note: These will help when we need to simplify later!
Curl in polar coordinates
0 because cross it’s a cross product of itself 0 because er doesn’t vary with r 0 because e doesn’t vary with r 0 because cross it’s a cross product of itself
Wow, it actually simplifies! 0 because e is crossing itself Wow, it actually simplifies!