00:01
We'll start our video.
00:03
Solution to this question is we have to write the equation which relates cartesian coordinates and polar coordinates.
00:12
So, x is equal to r cost theta, y is equal to r sine theta.
00:21
Here polar coordinates are r comma theta and rectangular coordinates are x comma y.
00:31
So we have the right equation of given radial velocity, that is vr is equal to 0.
00:39
So the equation of tangential velocity is v theta is equal to cr.
00:47
Here constant is c and the polar coordinates are theta, comma, r.
00:55
We'll understand for the given data, it is clear that there is tangential velocity but no radial velocity.
01:02
Hence the streamlines must be concentric circles with origin as center.
01:08
Now we'll have to calculate the horizontal component of velocity that is u.
01:14
So, u is equal to minus v theta, sine theta, substituting y divided by r for sine theta and cr for v theta.
01:29
So we get from this equation that u is equal to minus c r y divided by r so u is equal to minus c y...