a) Calculate the divergence of V
b) Calculate the vertical (or relative) vorticity
a) Calculate the divergence of V b) Calculate the vertical (or relative) vorticity
A25. Given ∆U/∆x = ∆V/∆x = (5 m s–1) / (500 km), find the divergence, vorticity, and total deformation for (∆U/∆y , ∆V/∆y) in units of (m s–1)/(500 km) as given below: a. (–5, –5) d. (0, 0) f. (5, 0) h. (–5, 5) i. (5, –5)
Calculate the divergence and curl of the vector
V = (- 4.9)(rz cos2(θ))
er + (- 6.8)(sin2(θ) + rz)
eθ + ( 5.8)(rz + sin(θ))
ez at the point P ≡ ( 6.1, 0.4, - 4.3).
(Round your answer to 2 decimal places.)
Calculate the divergence and curl of the vector v = (- 4.9)(rz cos-(0)) e, +(-6.8) (sin (0) + rz) eg +(5.8) (rz + sin()) ez at the point P =( 6.1, 0.4. - 4.3). (Round your answer...
calculate the apex of projectile relative to the ground if the initial vertical velocity of the object was 3m/s and the height of release was
Question 3 4-73 Solution For a given velocity field we are to calculate the vorticity Analysis The velocity field is V = (u, v, w)-(3.0+ 2.Ox-y)--(2.0-2.01.) j+10.5ryk Question 4 4-97 Solution For a given velocity field we are to determine if the flow is rotational or irrotational. 1 The flow is steady. 2 The flow is two-dimensional in the r-eplane. The velocity components for flow over a circular cylinder of radiur are Assumptions Analysis 11,--r sin θ| 1 +
Calculate v? f where f = 2e" +5x^y+cos(yz) IV-f=V (vf), the divergence of the gradient of fl [2e' +10y-z cos(yz) – y cos(yz)]
(a) Sketch the set V given in spherical coordinates. Also include a sketch of a vertical cross- section passing through the origin 2θ (b) Calculate the volume of V.
(a) Sketch the set V given in spherical coordinates. Also include a sketch of a vertical cross- section passing through the origin 2θ (b) Calculate the volume of V.
(a) Sketch the set V given in spherical coordinates. Also include a sketch of a vertical cross- section passing through the origin. 20 (b) Calculate the volume of V.
(a) Sketch the set V given in spherical coordinates. Also include a sketch of a vertical cross- section passing through the origin. 20 (b) Calculate the volume of V.
Using the divergence theorem, show that .
. (Here V is volume and v is velocity.)
3. Divergence Find the divergence of: a) Ē(x, y, z)=(-2y x 0] b) F(x,y,z)= (y2 – 2x 5x’y x+37] c) v =[3y–2yx xy? -62?x]
I'll ask again, Please DON'T use the divergence
theroem, I cant do the surface integral.
(7) Let V be the region in R3 enclosed by the surfaces ++22,0 and1. Let S denote the closed surface of V and let n denote the outward unit normal. Calculate the flux of the vector field Fx, y, z)(2 - 2)j 22k out of V and verify Gauss' Divergence Theorem holds for this case. That is, calculate the flux directly as a surface integral...