Answer to Question #149109 in Vector Calculus for Usman

Question #149109
For the velocity potential function, φ = x^2 - y^2 . Find the velocity components at the point (4, 5).
1
Expert's answer
2020-12-14T09:35:50-0500

In velocity we can write 


"u=\\dfrac{\\partial\\varphi}{\\partial x}, v=\\frac{\\partial\\varphi}{\\partial y}"


Given "\\varphi=x^2-y^2"

"u=\\dfrac{\\partial\\varphi}{\\partial x}=2x, v=\\dfrac{\\partial\\varphi}{\\partial y}=-2y"

Calculate the velocity at the point (4, 5)


"u=8, v=-10"

"|velocity|=\\sqrt{u^2+v^2 }=\\sqrt{(8)^2+(-10)^2}=2\\sqrt{41}"


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS