Chapter 9, Problem 9.117EP

alpha 1 is not zero alpha 1 can equal alpha 2 use velocity triangle to solve for alpha 1   USE MATLAB ONLY provide typed code   solve for velocity triangle and dont provide copied answer  Turbomachienery .   GIven:  vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow)  R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3   Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram     Use this code for plot      % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3)   S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)];   S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)];   U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)];   S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)];   U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)];   plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',...…

3. Find a basis of eigenvectors and diagonalize. 4 0 -19 7 a. b. 1-42 16 12-20 [21-61

2. Find the eigenvalues. Find the corresponding eigenvectors. 6 2 -21 [0 -3 1 3 31 a. 2 5 0 b. 3 0 -6 C. 1 1 0 -2 0 7 L6 6 0 1 1 2. (Hint: λ = = 3)