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15 kg of air per minute is delivered by a centrifugal compressor. The


inlet and outlet conditions of air are :


C1 = 10 m/s, p1 = 1 bar, v1 = 0.5 m3/kg and C2 = 80 m/s, p2 = 7 bar,


v2 = 0.15 m3/kg. The increase in enthalpy of air passing through the


compressor is 160 kJ/kg, and heat loss to the surroundings is 720


kJ/min.


Assuming that inlet and discharge lines are at the same level, find :


(i) Motor power required to drive the compressor.


(ii) Ratio of inlet to outlet pipe diameter.

PART B. Non-Homogenous Linear Differential Equations

7. (D ^ 2 - 3D + 2) * y = (1 + e ^ (- x)) ^ 2

6. (D ^ 2 + 1) * y = x * cos x


PART B. Non-Homogenous Linear Differential Equations

5.(D^ 2 +25)y=sin x+cos 2x

5. (D ^ 2 + 4) * y = tan 2x



Non-Homogenous Linear Differential Equations

1. (2D ^ 2 + 3D + 1) * y = e ^ (- 3x)

2.(D^ 2 -2D+5)y=25x^ 2 +12

4. (D ^ 2 - 3D + 2) * y = 14sin 2x - 18cos 2x


Homogenous Linear Differential Equations

6. (D ^ 3 - 2D ^ 2 - 3D) * y = 0

5. (D ^ 3 - 3D ^ 2 + 4) * y = 0

7. (4D ^ 3 - 3D + 1) * y = 0


Homogenous Linear Differential Equations

1. (D ^ 2 + 3D) * y = 0


2.(D ^ 2 + D - 7) * y = 0


PART A. Homogenous Linear Differential Equations

1. (D + 3) ^ 2 * y = 0


2. (D ^ 2 - 4D + 7) * y = 0 3. (D ^ 2 + 3D) * y = 0


PART A. Homogenous Linear differential Equations

1. (D + 3) ^ 2 * y = 0


2. (D ^ 2 - 4D + 7) * y = 0


6. (D ^ 3 - 2D ^ 2 - 3D) * y = 0


7. (4D ^ 3 - 3D + 1) * y = 0


5. (D ^ 3 - 3D ^ 2 + 4) * y = 0


4. (D ^ 2 + D - 7) * y = 0


3. (D ^ 2 + 3D) * y = 0


Explain the Principles of sustainable design. [


Slider crank mechanism as shown in the figure calculate the i) Acceleration of the slider B ii) Acceleration of the point E iii) Angular acceleration of the link AB OA rotates at (30+X) rad/s in counter clockwise direction (10marks) X is the last digit of the student roll no. for example if the student roll no is A09 then X=9 and ω=30+9=39 rad/s. Draw the neat and clean diagram with proper scale. Rough drawings will not be considered


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