Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- Plot DSa and DSw as functions of Tw on a single graph.
- Plot DSsys [DSsys = DSa +DSw] as functions of Tw on a second graph.
![Consider a 6.0 kg block of pure aluminum and 1.0 kg of water in an insulated container. Initially, the
aluminum is at 55°C and the water at 5°C. The aluminum is placed into the water and eventually comes
to an equilibrium temperature with the water.
1) Use conservation of energy to find the equilibrium temperature of the water and the aluminum
2) Find the temperature of the aluminum, Ta, as a function of the temperature of the water, Tw.
That is: find the functional relationship T3= f(Tw).
3) Find the change in entropy for the water, as a function of Tw [ASy = f(Tw)]
4) Find the change in entropy for the aluminum, as a function of T. [AS, = f(T.)]. as well as a
function of Tw, [AS, = f(Tw)].](https://content.bartleby.com/qna-images/question/802a7042-dca4-4c16-8808-146e7633f86e/c380997f-46a1-4a86-8085-7f2d369fbbf6/ih7vi0i_processed.png)
Transcribed Image Text:Consider a 6.0 kg block of pure aluminum and 1.0 kg of water in an insulated container. Initially, the
aluminum is at 55°C and the water at 5°C. The aluminum is placed into the water and eventually comes
to an equilibrium temperature with the water.
1) Use conservation of energy to find the equilibrium temperature of the water and the aluminum
2) Find the temperature of the aluminum, Ta, as a function of the temperature of the water, Tw.
That is: find the functional relationship T3= f(Tw).
3) Find the change in entropy for the water, as a function of Tw [ASy = f(Tw)]
4) Find the change in entropy for the aluminum, as a function of T. [AS, = f(T.)]. as well as a
function of Tw, [AS, = f(Tw)].
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- I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is a matrix that is transpose of each other. I mean that transpose(EA123toDCM) = E123toDCM. Why is that? Also, for the E123toDCM line, I am using the sequence 'ZYX'. Is that correct or should it be 'XYZ'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'ZYX') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 = @(a)[1 0 0 ; 0 cos(a) -sin(a); 0 sin(a) cos(a)]; R2 = @(a)[cos(a) 0 sin(a) ; 0 1 0 ; -sin(a) 0 cos(a)]; R3 = @(a)[ cos(a) -sin(a) 0; sin(a) cos(a) 0;…arrow_forwardDo not answer in image formatarrow_forwardZVA @ e SIM a A moodle1.du.edu.om Solve the second order homogeneous differential equation y " -6y'-7y = 0 with intial values y(0) = 0; y'(0) = 1 %3D Maximum file size: 200MB, maximum number of files: 1 Files IIarrow_forward
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