Question

In: Other

Velocity field for this system is: V=[X^2-(yz^1/2/t)]i-[zy^3+(x^1/3z^2/t^1/2)j+[-x^1/3t^2/z*y^1/2]k find the components of acceleration for the system.

Velocity field for this system is:

V=[X^2-(y*z^1/2/t)]i-[z*y^3+(x^1/3*z^2/t^1/2)j+[-x^1/3*t^2/z*y^1/2]k

find the components of acceleration for the system.

Expert Solution

V = Vxi + Vyj + Vzk

Therefore,

Substituting,

Similarly,

Substituting,

Similarly,

can also be calculated.

Amanda K answered 3 years ago

Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find the...

Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 29 that lies above the plane z = 4 and is oriented upward.

The velocity components of an incompressible, two-dimensional velocity field are given by the equations u=y^2-x(1+x) v=y(2x+1)...

The velocity components of an incompressible, two-dimensional velocity field are given by the equations u=y^2-x(1+x) v=y(2x+1) (a)Show that the flow satisfies continuity. (b) Determine the corresponding stream function for this flow field. (c) Determine if the flow is irrotational.

Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k

The streamlines of the velocity field v(x,y,z)=xlnzi+ylnzj+xk have equations:

Let f(x,y)= (3/2)(x^2+y^2 ) in 0≤x≤1, 0≤y≤1. (a) Find V(X) (b) Find V(Y)

Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k...

Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k at the point P ( 1, (2/3) , 1)

A fluid flow field is given by v = x^2yi + y^2zj-(2xyz + z^2)k. Prove that...

A fluid flow field is given by v = x^2yi + y^2zj-(2xyz + z^2)k. Prove that it is a case of possible steady in compressible flow. Calculate the velocity and acceleration at the point (2,1,3).

Find the flux of the vector field F = x i + e2x j + z ...

Find the flux of the vector field F = x i + e2x j + z k through the surface S given by that portion of the plane 2x + y + 8z = 7 in the first octant, oriented upward.

Find the flux of the vector field V(x, y, z) = 7xy2i + 2x2yj + z3k...

Find the flux of the vector field V(x, y, z) = 7xy2i + 2x2yj + z3k out of the unit sphere.

Question

Velocity field for this system is: V=[X^2-(yz^1/2/t)]i-[zy^3+(x^1/3z^2/t^1/2)j+[-x^1/3t^2/z*y^1/2]k find the components of acceleration for the system.

Solutions

Expert Solution

Related Solutions

Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find the...

The velocity components of an incompressible, two-dimensional velocity field are given by the equations u=y^2-x(1+x) v=y(2x+1)...

Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k

Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k

The streamlines of the velocity field v(x,y,z)=xlnzi+ylnzj+xk have equations:

Let f(x,y)= (3/2)(x^2+y^2 ) in 0≤x≤1, 0≤y≤1. (a) Find V(X) (b) Find V(Y)

Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k...

A fluid flow field is given by v = x^2yi + y^2zj-(2xyz + z^2)k. Prove that...

Find the flux of the vector field F = x i + e2x j + z ...

Find the flux of the vector field V(x, y, z) = 7xy2i + 2x2yj + z3k...