Write the vector F in the cylindrical coordinate system (r, 0, 2) system by defining x...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Write the vector F in the cylindrical coordinate system (r, 0, 2) system by defining x = r cos 0, y = r sin 0, and z = z. Note that the vector function in the cylindrical coordinate system is obtained as F (r, 0, z) = Fer+Foeo + F₂ez. The vectors er, eg, ez are the unit vectors in the cylindrical coordinate system. The relation between unit vectors in the Cartesian coordinate system and the cylindrical coordinate system is shown in the following figure. eg Ө er Compute V F (r, 0, 2) in the cylindrical coordinate system with the following definition. 10 (rF) 10 (Fo) (F₂) 20 дz + + T ər V.F (r, 0, 2) Hint: The value you obtained from this computation must be equal to the value you obtained from part (a). The divergence of a vector function does not depend on the coordinate system. F(x, y, z)=ri+2yj+3z k be a vector function in the Cartesian coordinate system. Write the vector F in the cylindrical coordinate system (r, 0, 2) system by defining x = r cos 0, y = r sin 0, and z = z. Note that the vector function in the cylindrical coordinate system is obtained as F (r, 0, z) = Fer+Foeo + F₂ez. The vectors er, eg, ez are the unit vectors in the cylindrical coordinate system. The relation between unit vectors in the Cartesian coordinate system and the cylindrical coordinate system is shown in the following figure. eg Ө er Compute V F (r, 0, 2) in the cylindrical coordinate system with the following definition. 10 (rF) 10 (Fo) (F₂) 20 дz + + T ər V.F (r, 0, 2) Hint: The value you obtained from this computation must be equal to the value you obtained from part (a). The divergence of a vector function does not depend on the coordinate system. F(x, y, z)=ri+2yj+3z k be a vector function in the Cartesian coordinate system.
Expert Answer:
Answer rating: 100% (QA)
Given Fx y z 10x 10y zk a Writing F in cylindrical coordinates x rcos y rsin z ... View the full answer
Related Book For
Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
Posted Date:
Students also viewed these accounting questions
-
Show that the value of the determinant does not depend on θ, using the method of this section. Sin -cos sin _ cos cos8 0 sin + cos 1
-
x = t sin t y = t 2 + t
-
The coordinate vector of a vector v with respect to an orthonormal basis If Find all possible vectors v. IR2 2 34
-
Perpetual inventory using FIFO Beginning inventory, purchases, and sales for Item Zeta9 are as follows: Oct. 1 Inventory 37 units @ $19 Oct. 7 Sale Oct. 15 Purchase Oct. 24 Sale Assuming a perpetual...
-
List several audit procedures that the auditor can use to determine whether all cash received was recorded.
-
Conduct a SWOT analysis by analyzing the strengths, weaknesses, application opportunities, and threats from competitors of Web3.0
-
The HARA (for hyperbolic absolute risk aversion) class of utility functions is defined by \[U(x)=\frac{1-\gamma}{\gamma}\left(\frac{a x}{1-\gamma}+b ight)^{\gamma}, \quad b>0\] The functions are...
-
Martin and Carrie Jones insured their home and personal property under an unendorsed Homeowners 3 policy. The home has a current replacement cost of $300,000. The policy contains the following...
-
Maslow's hierarchy of needs provide a useful framework for understanding how and why local products and brands can be extended beyond home-country borders. How can Maslow's needs hierarchy be used in...
-
Figure P3.14 shows three physical situations; show the possible process in a Pv diagram. Po m, "p R-410a (a) (b) (c) FIGURE P3.14
-
Perform the appropriate hypothesis test for determining whether there is a difference in the proportion of large retailers that use advanced statistical forecasting techniques and small retailers...
-
How many axes of reflection symmetry does a cube have? How many axes of rotational symmetry?
-
The Sun is approximately 93 million miles from Earth. (a) What is this distance in millimeters? (b) How many Earths could fit side by side in this distance? (The radius of Earth is about 4000 mi, or...
-
(a) What is the speed of light in vacuum expressed to three significant digits? (b) What is the square of the speed of light in vacuum expressed to three significant digits? (c) Is the numerical...
-
You hear a peal of thunder and go to the window. You then see a flash of lightning. Is it reasonable to assume that the thunder caused the lightning?
-
Cube 1 has side \(\ell_{1}\) and volume \(V_{1}\). Cube 2 has side \(\ell_{2}=2 \ell_{1}\). (a) When making order-of-magnitude estimates, by how many orders of magnitude is the volume of the second...
-
Be the matrix b, resolve the determinant: B= -2 4 0 1 0 3 4 2 3 1 3 2 -2 4 0 5
-
Assume a simple Keynesian depression economy with a multiplier of 4 and an initial equilibrium income of $3,000. Saving and investment equal $400, and assume full employment income is $4,000. a. What...
-
Find the Maclaurin series expansion of the function (6,2) tl 6-6+ =(2)/
-
Use definition (1), Sec. 33, of zc to show that (1 + 3i)3/2 = 2 2. Use definition (1) zc = ec log z, where log z denotes the multiple-valued logarithmic function. Equation (1) provides a consistent...
-
Use a residue and the contour shown in Fig. 95, where R > 1, to establish the integration formula dx 2 1 33
-
What is the genetic code? a. The relationship between a three-base codon sequence and an amino acid or the end of translation b. The entire base sequence of an mRNA molecule c. The entire sequence...
-
Lets suppose a researcher mixed together nucleotides with the following percentages of bases: 30% G, 30% C, and 40% A. If RNA was made via polynucleotide phosphorylase, what percentage of the codons...
-
If a tRNA has an anticodon with the sequence 3-GAC-5, which amino acid does it carry? a. Aspartic acid c. Leucine b. Valine d. Glutamine
Study smarter with the SolutionInn App