00:01
Hi, so we have to consider the rational field that we have been given f is equals to 0, 10 z, minus of 10 y is in regards to plus into the plane of x plus y plus z is equals to 1 with this axis normal to this plane.
00:21
So using a computer algebra, we have to calculate the fast paddle wheel spins in revolution per minute, that means angular speed.
00:29
So let's get started with the solution.
00:30
So first of all, let us find the curler of f, which is given by divergence of it, that is del cross f and it is given by the formula of i, j and k.
00:43
Here it should be del by del x, del by del y, del by del z, that is value of del and here it should be the f of x term, f of y term and f of z term.
01:00
Substituting all the required values to be here, we get del cross f, this should be equals to the i, j and k.
01:09
Here it should be del by del x, del by del y, del by del z.
01:15
So here it will becomes x component is 0, y component 10 z and z components minus of 10 y.
01:24
So let's expand this along the first row.
01:27
So we are going to get iota times of del by del y of negative of 10 y minus of del by del z of 10 z negative of j, 0 minus 0 plus k, 0 minus 0 and this we have to equate it to 0.
01:46
So this will comes out equals to iota minus 10 minus 10.
01:52
This will be goes to negative of 20 iota.
01:55
So, pidal will is placed in the plane of x plus y plus z is equals to 1 with axis normal to this plane...