Engineering Answers

A pipe, through which water is flowing, is having diameters 20 cm and 10 cm at the cross-section 1and 2 respectively. The velocity of water at section 1 is given 4.0 m/sec. Find the velocity head at section 1 and 2 and also rate of discharge.

. Two bodies A and B in figure are separated by a spring. Their motion down the incline is resisted by a force P = 800 N . The coefficient of kinetic friction is 0.30 under A and 0.10 under under B. a.) compute the acceleration of block A b.) Compute the acceleration of block B c.) Determine the force in the spring.

The total charge entering a terminal is q=(10-10e-2t) mC. Calculate current at t=0.5 s

Air flows steadily at the rate of 0.4 kg/s through an air compressor,

entering at 6 m/s with a pressure of 1 bar and a specific volume of

0.85 m3/kg, and leaving at 4.5 m/s with a pressure of 6.9 bar and a

specific volume of 0.16 m3/kg. The internal energy of air leaving is 88

kJ/kg greater than that of the air entering. Cooling water in a jacket

surrounding the cylinder absorbs heat from the air at the rate of 59

kJ/s. Calculate the power required to drive the compressor and the

inlet and outlet pipe cross-sectional areas.

A turbine operating under steady flow conditions receives steam at the

following state : pressure 13.8 bar ; specific volume 0.143 m3/kg ;

internal energy 2590 kJ/kg ; velocity 30 m/s. The state of the steam

leaving the turbine is : pressure 0.35 bar ; specific volume 4.37 m3/kg

; internal energy 2360

kJ/kg ; velocity 90 m/s. Heat is lost to the surroundings at the rate of

0.25 kJ/s. If the rate of steam flow is 0.38 kg/s, what is the power

developed by the turbine ?

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