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Solve the Partiol differential equation (D²-D^1²)z= x² + y²
A motor car, of total mass 1400kg, running in top gear at 55km/h, passes on to a rising of 1 in
20 at that speed. The road and other resistances may be taken as constant at 270N/t. With
conditions unchanged, the speed falls uniformly to 40km/h in a distance of 360m. An
intermediate gear is then engaged for which the speed ratio between the engine and the road
wheels is 9:1 and the transmission efficiency is 85%. The engine is then developing a torque
of 85Nm. Determine: (a) The tractive efforts before and after the gear change, given that the
road wheels are 750mm in diameter, (b) The time between the start of retardation and the
recovery of the original speed of 55km/h, and (c) The powers being developed by the engine
when the car is retarding and accelerating through 50km/h, given that the transmission
efficiency in top gear is 94%.
(b) the current flowing in each of the four resistors . R1=15ohms, R2=10ohms, R3=38ohms and R4=Rx.
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).
The current i (in amps) t seconds after closing the switch in the circuit shown is given by: i(t) = V/R(1-e-(R/L)t) Consider the case where V = 120 volts, R = 120 Ohms and L = 0. 1 henry. Find the time tm required for the current to reach 99% of its final value, then use linspace to create a vector t having 10 elements with the first element 0 and maximum value tm. Calculate the current i for each value of t from part (a). The length |u| (magnitude) of a vector u = given by |u| = x2+y2+z2. Given the vector u = 23. 5i - 17j + 6k, determine its length two ways:
State a laplace transform function and explain the meaning
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.
1. Ring the alarm on time 2. Make coffee 3. Heat the water to a suitable temperature 4. Pack your bag 5. Cook breakfast and lunch 6.iron the clothes
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