brooklynvegas59011 brooklynvegas59011
  • 13-07-2019
  • Mathematics
contestada

For the following velocity field: V = (u,v)=(1 -0.5x)i+ (-1.5 - 2y), find out if there astagnation point. If so, calculate its location in coordinates.r and y (20 pts)

Respuesta :

A1peakenbe A1peakenbe
  • 25-07-2019

Answer:

[tex]\overrightarrow{r}=2\widehat{i}-0.75\widehat{j}[/tex]

Step-by-step explanation:

Stagnation point is point of zero velocity thus each component of the velocity must also be zero

[tex]Given\\u=(1-0.5x)[/tex]

[tex]\therefore[/tex] u=0 at x=2m

Similarly

[tex]\\v=(-1.5-2y)\\\\\therefore v=0 \\\\y=\frac{1.5}{-2}\\\\y=-0.75[/tex]

Thus point of stagnation is (2,-0.75)

Thus it's position vector is given by

[tex]\overrightarrow{r}=2\widehat{i}-0.75\widehat{j}[/tex]

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