FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119803645
Author: Sonntag
Publisher: WILEY
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Chapter 1, Problem 1.66EP
Can you easily carry a
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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)
Chapter 1 Solutions
FUNDAMENTALS OF THERMODYNAMICS
Ch. 1 - Separate the list P,F,V,,T,a,m,L,t, and V into...Ch. 1 - A tray of liquid water is placed in a freezer...Ch. 1 - The overall density of fibers, rock wool...Ch. 1 - Is density a unique measure of mass distribution...Ch. 1 - Water in nature exists in three different phases:...Ch. 1 - What is the approximate mass of 1 L of gasoline?...Ch. 1 - Can you carry 1m3 of liquid water?Ch. 1 - A heavy refrigerator has four height-adjustable...Ch. 1 - A swimming pool has an evenly distributed pressure...Ch. 1 - If something floats in water, what does it say...
Ch. 1 - Two divers swim at a depth of 20 m. One of them...Ch. 1 - An operating room has a positive gage pressure,...Ch. 1 - A water skier does not sink too far down in the...Ch. 1 - What is the lowest temperature in degrees Celsius?...Ch. 1 - How cold can it be on Earth and in empty space?Ch. 1 - A thermometer that indicates the temperature with...Ch. 1 - How can you illustrate the binding energy between...Ch. 1 - One kilopond (1 kp) is the weight of 1 kg in the...Ch. 1 - A stainless steel storage tank contains 5kg of...Ch. 1 - A steel cylinder of mass 4kg contains 4L of water...Ch. 1 - The Rover Explorer has a mass of 185Kg , how much...Ch. 1 - A 1700kg car moving at 80km/h is decelerated at a...Ch. 1 - The elevator in a hotel has a mass of 750kg , and...Ch. 1 - One of the people in the previous problem weighs...Ch. 1 - A 1m3 container is filled with 400kg of granite...Ch. 1 - A power plant that separates carbon dioxide from...Ch. 1 - A 5m3 container is filled with 900kg of granite...Ch. 1 - A 5000kg elephant has a cross-sectional area of...Ch. 1 - A valve in the cylinder shown in Fig. P1.29 has a...Ch. 1 - The piston cylinder in Fig. P1.29 has a diameter...Ch. 1 - A hydraulic lift has a maximum fluid pressure of...Ch. 1 - Ahydraulic cylinder has a 125mm diameter piston...Ch. 1 - A 75kg human total footprint is 0.05m2 when the...Ch. 1 - A piston/cylinder with a cross-sectional area of...Ch. 1 - A 2.5m -tall steel cylinder has a cross-sectional...Ch. 1 - An underwater buoy is anchored at the seabed with...Ch. 1 - A floating oil rig is anchored in the seabed with...Ch. 1 - At the beach, atmospheric pressure is 1025 mbar....Ch. 1 - A steel tank of cross-sectional area 3m2 and...Ch. 1 - A piston mp=5kg , is fitted in a cylinder. A=15cm2...Ch. 1 - A container ship is 240m long and 22m wide. Assume...Ch. 1 - A probe is lowered 16m into a lake. Find the...Ch. 1 - A person, 75kg , wants to fly (hoover) on a 2kg...Ch. 1 - The density of atmospheric air is about 1.15kg/m3...Ch. 1 - A barometer to measure absolute pressure shows a...Ch. 1 - A differential pressure gauge mounted on a vessel...Ch. 1 - What pressure difference a 100-m column of...Ch. 1 - A barometer measures 760mmHg at street level and...Ch. 1 - An exploration submarine should be able to descend...Ch. 1 - The absolute pressure in a tank is 115kPa and the...Ch. 1 - An absolute pressure gauge attached to a steel...Ch. 1 - A pipe flowing light oil has a manometer attached,...Ch. 1 - The difference in height between the columns of a...Ch. 1 - A piece of experimental apparatus. Fig. P1.54. is...Ch. 1 - A 0.2m3 piece of softwood is lifted upto the top...Ch. 1 - A car of mass 1775kg travels with a velocity of...Ch. 1 - What is temperature of 5C in degrees Kelvin?Ch. 1 - A mercury thermometer measures temperature by...Ch. 1 - The density of liquid water is =1008T/2(kg/m3)...Ch. 1 - Repeat Problem 1.54 if the flow inside the...Ch. 1 - Adam retains a lake 6m deep, as shown in Fig, P...Ch. 1 - In the city water tower, water is pumped up to a...Ch. 1 - The main waterline into a tall building has a...Ch. 1 - A mass of 2lbm has an acceleration of 5ft/s2 ....Ch. 1 - How much mass is in 1 gal of gasoline? In helium...Ch. 1 - Can you easily carry a 16m bar of solid gold?Ch. 1 - What is the temperature of 5F in degrees Rankine?Ch. 1 - What is the lowest possible temperature in degrees...Ch. 1 - What is the relative magnitude of degree Rankine...Ch. 1 - The Rover Explorer has a mass of 410Ibm , how much...Ch. 1 - A 2500Ibm car moving at 25mi/h is accelerated at a...Ch. 1 - An escalator brines four people with a total mass...Ch. 1 - A car of mass 4000Ibm travels with a velocity of...Ch. 1 - A power plant that separates carbon dioxide from...Ch. 1 - The piston cylinder in Fig. P1.29 has a diameter...Ch. 1 - A laboratory room keeps a vacuum of oil 1in. of...Ch. 1 - A person, 175Ibm , wants to fly (hoover) on a 4lbm...Ch. 1 - A floating oil rig is anchored in the seabed with...Ch. 1 - A container ship is 790ft long and 72ft wide....Ch. 1 - A manometer shows a pressure difference of 3.5in....Ch. 1 - What pressure difference does a 300-ft column of...Ch. 1 - A piston cylinder with a cross-sectional area of...Ch. 1 - The main waterline into a tall building has a...Ch. 1 - A piston, mp=10lbm , is fitted in a cylinder,...Ch. 1 - The human comfort zone is between 18 and 24C ....
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- 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',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),...…arrow_forwardUSE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, 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',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ...…arrow_forwardThe answer should equal to 1157. Please sent me the solution. Thank you!arrow_forward
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