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Solve the Partiol differential equation (D²-D^1²)z= x² + y²
In soccer practice Thato runs 74m in a direction of W30°S, he turns around and walks 22m in a direction of 30° North of East. Graphically determine the resultant displacement of Thato by means of addition of vectors
A coal contains 78% carbon, 4% hydrogen, 2% oxygen, 1.8%
sulphur and rest as non-combustibles.
Calculate:
(i) Gross calorific value of the coal in GJ/ton using Dulong’s Formula
337 C + 1442 [H – (O/8)] + 93 S kJ/kg
where C, H, O and S are percentages of carbon, Hydrogen, oxygen and
sulphur respectively.
(ii) Amount of coal needed per day to burn in a 10 MW power plant
working with 32% thermal efficiency (Given 1 kWh = 3.6 MJ).
A fan delivers 4.7 cu.m/sec at a static pressure of 5.08 cm of water when operating at a speed of 500 rpm. The power input required is 2.963 kW. If 7.05 cu.m/sec are desired in the same fan and installation, what is the new angular speed in rpm?
A twin-engine aircraft has an engine failure shortly after takeoff at sea level. The pilot tried to turn back
toward the field by making a left-hand turn but crashes after making a 180-degree turn. The wreckage
diagram shows that the turn radius was 3,800 feet. From the radar tapes, the airspeed is estimated to be 160
knots during the turn. The level, steady stall speed of this aircraft is 135 knots.
What is the steepest allowable bank angle with out the aircraft stalling while performing a turn in the
horizontal plane at 160 knots? Please round your answer rounded to the full degree.
An axial pull of 40000 N is acting on a bar consisting of three sections of length 30 cm, 25 cm, and 20 cm and of diameters 2 cm, 4 cm and 5 cm respectively. If the young’s modulus = 2×105 N/mm2, determine: (i) stress in each section and (ii) total extension of bar.
16. Find the dew point temperature of air whose humidity ratio is 0.0150 kg water/kg dry air. (I NEED THE SOLUTION FOR THE ANSWER PLEASE)
ANSWER: 22.50 oC
In a porter governor the mass of the central load is 18 kg and the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) mm long. The friction of the sleeve is 20 N. If the top arms make 45 degree with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position
Air refrigeration works between 1 bar and 5 bar pressure limits. The temperature of the air entering the compressor and expansion cylinder is 8+A0C and 20+B0C respectively. The expansion and compression follow the law pv1.3=Constant. Find the following: • The theoretical C.O.P of the refrigerating cycle. • If the load on the refrigerating machine is 10 tons, then find the amount of air circulated per minute through the system. Assuming the actual C.O.P is 50% of the theoretical C.O.P. • Length and diameter of the single-acting compressor run at 300 r.p.m and the volumetric efficiency are 85%.
The thin-walled single cell beam shown in Figure has been idealized into a combination of
direct stress carrying booms and shear stress only carrying walls. If the section supports a vertical
shear load of 10 kN acting in a vertical plane through booms 3 and 6, calculate the distribution of
direct stress around the section.
