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AIM:- Part A: Search and list out the total weight of various types of aircraft. Is there any difference between ground speed and airspeed? Why is it not recommended to use aircraft engine power to move it on the ground at the Airport? How an aircraft is pushed to the runway when it's ready…
Monish Sivanesan
updated on 29 Dec 2022
AIM:-
Part A:
Part B:
(Hint: DC7 Block)
Part A:
QUESTION 1
a)Aircraft Gross Weight:
b)Manufacturer's Empty Weight (MEW):
It is the carrying capacity of an aircraft. It includes cargo, people, extra fuel. In the case of a commercial airliner, it may refer only to revenue-generating cargo or paying passengers.
The following image depicts Takeoff Weight Components:
h Types of aircraft
There are several ways to identify aircraft by type. the primary distinction is between those that are lighter than air and those that are heavier than air
Type |
MTOW [kg] |
MLW [tonnes] |
TOR [m] |
LR [m] |
||
640,000 |
591.7 |
3500 |
|
Heavy |
Super |
|
589,670 |
|
3660 |
|
Heavy |
Super |
|
447,700 |
346.091 |
3100 |
1800 |
Heavy |
Heavy |
|
443,613 |
306.175 |
3100 |
|
Heavy |
Heavy |
|
412,770 |
295.742 |
3090 |
|
Heavy |
Heavy |
|
Antonov An-124-100M |
405,060 |
330 |
2520 |
900 |
Heavy |
Heavy |
396,900 |
295.742 |
3018 |
2179 |
Heavy |
Heavy |
|
381,000 |
288.417 |
2530 |
1494 |
Heavy |
Heavy |
|
377,840 |
285.700 |
3338 |
2109 |
Heavy |
Heavy |
|
377,840 |
260.320 |
3222 |
1905 |
Heavy |
Heavy |
|
371,950 |
240 |
3050 |
2010 |
Heavy |
Heavy |
|
367,400 |
256 |
3100 |
2100 |
Heavy |
Heavy |
|
347,800 |
260.816 |
2830 |
|
Heavy |
Heavy |
|
352,000 |
251.5 |
3100 |
|
Heavy |
Heavy |
|
351,800 |
251.29 |
3100 |
|
Heavy |
Heavy |
|
347,450 |
223.168 |
3000 |
|
Heavy |
Heavy |
|
340,200 |
265.300 |
|
|
Heavy |
Heavy |
|
308,000 |
233.5 |
|
|
Heavy |
Heavy |
|
299,370 |
237.683 |
3380 |
|
Heavy |
Heavy |
|
297,550 |
213.00 |
3380 |
1550 |
Heavy |
Heavy |
|
276,700 |
190 |
3000 |
1926 |
Heavy |
Heavy |
|
273,300 |
185 |
2990 |
1890 |
Heavy |
Heavy |
|
270,000 |
175 |
2670 |
1860 |
Heavy |
Heavy |
|
270,000 |
195.04 |
3115 |
2118 |
Heavy |
Heavy |
|
256,280 |
183 |
2990 |
1890 |
Heavy |
Heavy |
|
254,000 |
192.777 |
2900 |
|
Heavy |
Heavy |
|
254,000 |
201.849 |
|
|
Heavy |
Heavy |
|
253,500 |
181 |
2990 |
|
Heavy |
Heavy |
|
250,000 |
175 |
2600 |
1980 |
Heavy |
Heavy |
|
242,000 |
185 |
2500 |
1750 |
Heavy |
Heavy |
|
242,000 |
180 |
2220 |
1750 |
Heavy |
Heavy |
|
231,300 |
166.92 |
2636 |
|
Heavy |
Heavy |
|
228,000 |
172.365 |
3300 |
1695 |
Heavy |
Heavy |
|
211,400 |
|
|
|
Heavy |
Heavy |
|
208,000 |
175 |
|
|
Heavy |
Heavy |
|
204,000 |
158.758 |
3414 |
|
Heavy |
Heavy |
|
192,000 |
140 |
2385 |
1555 |
Heavy |
Heavy |
|
187,000 |
136.08 |
2713 |
1676 |
Heavy |
Heavy |
|
185,000 |
111.1 |
3440 |
2220 |
Heavy |
Heavy |
|
163,000 |
138 |
2324 |
1536 |
Heavy |
Heavy |
|
159,000 |
136.078 |
2713 |
1676 |
Heavy |
Heavy |
|
157,000 |
124 |
2290 |
1490 |
Heavy |
Heavy |
|
152,000 |
151.9 |
|
|
Heavy |
Heavy |
|
151,000 |
97.5 |
|
|
Heavy |
Heavy |
|
151,000 |
112.1 |
|
|
Heavy |
Heavy |
|
147,000 |
|
|
|
Heavy |
Heavy |
|
142,000 |
123 |
1860 |
1480 |
Heavy |
Heavy |
|
141,000 |
122 |
980 |
770 |
Heavy |
Heavy |
|
140,000 |
|
|
|
Heavy |
Heavy |
|
4,800 |
4.43 |
975 |
741 |
Light |
Small |
|
125,000 |
|
|
|
Medium |
Large |
|
124,000 |
101.6 |
2550 |
1750 |
Medium |
Large |
|
117,000 |
86.3 |
|
|
Medium |
Large |
|
116,000 |
89.9 |
2347 |
1555 |
Medium |
Large |
|
106,000 |
79.5 |
|
|
Medium |
Large |
|
104,000 |
79.5 |
|
|
Medium |
Large |
|
104,000 |
80 |
|
|
Medium |
Large |
|
104,000 |
87.5 |
2250 |
|
Medium |
Large |
|
87,500 |
|
|
|
Medium |
Large |
|
85,000 |
66.36 |
2500 |
1704 |
Medium |
Large |
|
85,000 |
71.35 |
2804 |
1829 |
Medium |
Large |
|
84,000 |
70.1 |
|
|
Medium |
Large |
|
Airbus A321-100 |
83,000 |
77.8 |
2200 |
1540 |
Medium |
Large |
79,000 |
65.32 |
2308 |
1634 |
Medium |
Large |
|
78,000 |
68.1 |
|
|
Medium |
Large |
|
73,000 |
63.28 |
|
|
Medium |
Large |
|
72,500 |
62.4 |
|
|
Medium |
Large |
|
72,500 |
62.4 |
|
|
Medium |
Large |
|
71,000 |
64.41 |
2165 |
1520 |
Medium |
Large |
|
70,700 |
|
|
|
Medium |
Large |
|
70,000 |
58.06 |
1921 |
1415 |
Medium |
Large |
|
Airbus A320-100 |
68,000 |
66 |
1955 |
1490 |
Medium |
Large |
68,000 |
54.9 |
2540 |
1540 |
Medium |
Large |
|
68,000 |
|
|
|
Medium |
Large |
|
67,000 |
|
|
|
Medium |
Large |
|
66,000 |
54.66 |
1796 |
1340 |
Medium |
Large |
|
65,000 |
57.61 |
1890 |
1494 |
Medium |
Large |
|
65,000 |
|
|
|
Medium |
Large |
|
64,000 |
62.5 |
1850 |
1470 |
Medium |
Large |
|
63,000 |
51.7 |
1939 |
1396 |
Medium |
Large |
|
60,000 |
49.9 |
1832 |
1360 |
Medium |
Large |
|
59,000 |
50.80 |
1463 |
1356 |
Medium |
Large |
|
59,000 |
57.5 |
1375 |
1340 |
Medium |
Large |
|
55,000 |
47.174 |
1950 |
|
Medium |
Large |
|
55,000 |
|
|
|
Medium |
Large |
|
54,000 |
|
|
|
Medium |
Large |
|
50,000 |
46.265 |
1950 |
|
Medium |
Large |
|
50,000 |
|
|
|
Medium |
Large |
|
48,600 |
|
|
|
Medium |
Large |
|
48,500 |
|
|
|
Medium |
Large |
|
48,000 |
43 |
2056 |
1323 |
Medium |
Large |
|
46,000 |
|
|
|
Medium |
Large |
|
46,000 |
39.95 |
1621 |
1350 |
Medium |
Large |
|
44,000 |
|
|
|
Medium |
Large |
|
42,000 |
36.74 |
|
|
Medium |
Large |
|
39,000 |
|
|
|
Medium |
Large |
|
37,500 |
32.8 |
2244 |
1304 |
Medium |
Large |
|
36,500 |
33.345 |
1778 |
1596 |
Medium |
Large |
|
36,000 |
32.8 |
1644 |
1274 |
Medium |
Large |
|
33,000 |
30.39 |
1564 |
1478 |
Medium |
Large |
|
33,000 |
|
|
|
Medium |
Large |
|
30,400 |
|
|
|
Medium |
Large |
|
28,000 |
28.01 |
1219 |
1295 |
Medium |
Large |
|
23,000 |
21.319 |
1918 |
1479 |
Medium |
Large |
|
22,800 |
22.35 |
1333 |
914 |
Medium |
Large |
|
22,800 |
21.5 |
1300 |
|
Medium |
Large |
|
22,000 |
19.3 |
2270 |
1380 |
Medium |
Large |
|
18,600 |
18.3 |
1165 |
1126 |
Medium |
Small |
|
13,150 |
12.930 |
1300 |
1030 |
Medium |
Small |
|
11,500 |
11.25 |
1560 |
1380 |
Medium |
Small |
|
10,890 |
10.570 |
1493 |
826 |
Medium |
Small |
|
9,752 |
8.709 |
1353 |
811 |
Medium |
Small |
|
8,300 |
7.665 |
893 |
724 |
Medium |
Small |
|
8,150 |
7.65 |
956 |
677 |
Medium |
Small |
|
7,765 |
7.605 |
1036 |
853 |
Medium |
Small |
|
7,761 |
7.103 |
1039 |
896 |
Medium |
Small |
|
7,000 |
|
|
|
Medium |
Small |
|
575,000 |
394 |
3100 |
1930 |
Super |
Super |
Question 2
difference between ground speed and airspeed
Wind Speed
For a reference point picked on the ground, the air moves relative to the reference point at the wind speed. Notice that the wind speed is a vector quantity and has both a magnitude and a direction. Direction is important. A 20 mph wind from the west is different from a 20 mph wind from the east. The wind has components in all three primary directions (north-south, east-west, and up-down). In this figure, we are considering only velocities along the aircraft's flight path. A positive velocity is defined to be in the direction of the aircraft's motion. We are neglecting crosswinds, which occur perpendicular to the flight path but parallel to the ground, and updrafts and downdrafts, which occur perpendicular to the ground.
Ground Speed
For a reference point picked on the ground, the aircraft moves relative to the reference point at the ground speed. Ground speed is also a vector quantity so a comparison of the ground speed to the wind speed must be done according to rules for vector comparisons.
Airspeed
The important quantity in the generation of lift is the relative velocity between the object and the air, which is called the airspeed. Airspeed cannot be directly measured from a ground position but must be computed from the ground speed and the wind speed. Airspeed is the vector difference between the ground speed and the wind speed.
Airspeed = Ground Speed - Wind Speed
On a perfectly still day, the airspeed is equal to the ground speed. But if the wind is blowing in the same direction that the aircraft is moving, the airspeed will be less than the ground speed.
Examples
Suppose we had an aeroplane that could take off on a windless day at 100 mph (liftoff airspeed is 100 mph). We are at an airport with an east-west runway that is 1 mile long. The wind is blowing 20 mph towards the west and the aeroplane takes off going east. The wind is blowing towards the aircraft which we call a headwind. Since we have defined a positive velocity to be in the direction of the aircraft's motion, a headwind is a negative velocity. While the plane is sitting still on the runway, it has a ground speed of 0 and an airspeed of 20 mph:
Airspeed = Ground Speed (0) - Wind Speed (-20) = 20 mph
The aeroplane starts its takeoff roll and has a constant acceleration a. From Newton's second law of motion, the ground speed V at any time t is:
V = a * t
and the distance d down the runway at any time is:
d = 1/2 * a * t^2
For a fixed-length runway, this specifies the time to be used in the velocity equation. Let's assume that at 5000 feet down the runway, the velocity is 80 mph. Then the airspeed is given by
Airspeed = Ground Speed (80) - Wind Speed (-20) = 100 mph
and the aeroplane begins to fly. Now another pilot, with the same aeroplane decides to take off to the west. The wind is now in the same direction as the motion and this is called a tailwind. The sign on the wind speed is now positive, not negative as with the headwind. The acceleration along the ground is the same, so at 5000 feet down the runway, the ground speed is again 80 mph. The airspeed is then given by:
Airspeed = Ground Speed (80) - Wind Speed (20) = 60 mph
QUESTION 3
Aircraft Engine Power is Not Recommended to be Used to Move It on The Ground at Airport
Unwanted consequences mainly arise from the unintended movement of during engine is running
Although most aircraft are capable of moving themselves on the ground. it is not typically done due to the following reasons.
QUESTION 4
4.1 Phases of A Flight
Image courtesy of Federal Aviation Administration (FAA) 4.1 Taxi
4.2 Take-Off
4.3 Climb
QUESTION 5
The forces involved will be.
where
T=Thrust of propulsion system pushing aircraft along the runway.
D=Aerodynamic Drag of vehicle resisting the aircraft motion
F=Rolling resistance friction due to the contact of wheels or skids on the ground.
D=During take-off runs the imbalance in these forces will produce an acceleration along the runway.
dv/dt =Acceleration along with the runway
m =Mass of the vehicle.
whereas
Power =(T-D-F)*V
Let’s go through some technical aspects of the tyre.
Aircraft tyres must have an approved speed and load rating and have sufficient clearance when retracted through landing gear to allow for tyre growth. Tyre growth is the increase in the size of the tyre due to centrifugal forces at high speed.
Tubeless tyres are more advantageous over tube-type. There is no longer the use of tube-type tyres in recent aviation. Nowadays all airliners are using tubeless tyres. Tubeless that are meant to be used without a tube has the word TUBELESS on the sidewall of the tyre.
Almost all airliners are using Radial tyres. Bias is an older design, and it’s mainly used for road vehicles. Radial tyres have the word RADIAL on the sidewall. Radial tires are more expensive than bias-ply tyres. Radial tires are in demand because of their lower life cycle cost and long term value.
Rolling resistance is the force resisting the motion when a body (such as a ball, tire, or wheel) rolls on a surface.
Rolling resistance can be seen in the aircraft when the aircraft Takes off at the runway with the help of from the runway and while landing its wheels.
The rolling resistance can be expressed
Fr =cW
where
F= rolling resistance or rolling friction
c=rolling resistance coefficient - dimensionless (coefficient of rolling friction-CRF)
W=normal force or weight of the body
W = mag
where
m=mass of the body (kg, lb)
ag =acceleration of gravity (9.81 m/s2.32.174 ft/s²)
The rolling resistance can alternatively be expressed as
Fr=cl W/r
where
cl=rolling resistance coefficient- dimension length (coefficient of rolling friction) (mm, in)
r=radius of the wheel (mm, in)
d)TYRE PRESSURE:
Part B:
QUESTION 6
The Force and Power required to push/pull an Aircraft by a Towing
Vehicle:
Let us Assume:
Weight of the Aircraft =500000kg
Rolling Resistance Coefficient of an aircraft tire =0.005
Wight of the Towing Tractor=50000kg
Rolling Resistance Coefficient of Towing Vehicle =0.002
The Velocity of the Aircraft while Towing=18KMPH=5m/s
The density of Air medium=1.225 kg/m^3
The Frontal area of the Aircraft=20 m^2
The Coefficient of Drag of the Aircraft = 0.26
Towing Tractor Gear ratio(G- for high torque output) = 11
Towing Tractor tyre radius(r) = 0.5 m
The forces that are acting on the aircraft are
Now. Here the Rolling resistance be
Frr =c. mr. ag
Let.
Frr =Rolling resistance
c=coefficient of rolling resistance
mr=mass
ag =Acceleration of gravity
Now Substituting the values in the above formula
Resistance of the Aircraft gives us the Rolling
Fr(aircraft) = 0.005*(500000 kg)*(9.81 m/s^2)
Fr(aircraft)= 24.525 KN.
Therefore the Rolling resistance of the aircraft Fr(aircraft)= 24.525 KN.
Rolling Resistance for the Towing Vehicle
Now let us calculate the rolling resistance for the Towing Vehicle
Frr =c. mr. ag
Fr(towing)=0.002(50000 kg)(9.81 m/s^2)
Fr(towing)=0.981 KN.
Therefore the Rolling resistance of the Towing vehicle Fr(towing)=0.981 KN.
Where.
D=Drag force
C=Drag Coefficient
V=Velocity of Towing Vehicle
A=Frontal area
Now Substituting the assumed values in the above the Drag force of the Towing vehicle
Drag Force = 0.5* (0.26*1.225*20*5^2)
Drag Force = 0.079 KN
Therefore the Drag force is 0.079625 KN
Now to get the total force to push the aircraft by the towing vehicle
we add the
=Rolling resistance of Aircraft + Rolling resistance of Towing Vehicle+ Drag Force
= 24.525 KN +0,981 KN+ 0.079625 KN
=25.585625 KN
Therefore the Total force required for a towing vehicle to push the aircraft is=25.585625 KN=25585.625N
Power required to the towing vehicle to pull the aircraft
In this case,
Power=force*velocity
Power=25.585625*5.0
Power=127.928125 KW
Therefore the power required for the towing vehicle to pull the aircraft=127.928125 KW=127928.125 W
Simulink Model for the calculated Force and Power
QUESTION 7
(Hint: DC7 Block)
Let us Assume:
Weight of the Aircraft =500000kg
Rolling Resistance Coefficient of an aircraft tire =0.005
Wight of the Towing Tractor=50000kg
Rolling Resistance Coefficient of Towing Vehicle =0.002
The Velocity of the Aircraft while Towing=18KMPH=5m/s
The density of Air medium=1.225 kg/m^3
The Frontal area of the Aircraft=20 'm^2
The Coefficient of Drag of the Aircraft =0.26
Towing Tractor Gear ratio(G-for high torque output)=11
Towing Tractor tyre radius(r)=0.5 m
Operational time of the Towing for one cycle=0.25 Hours (15min)
Power converters used Bidirectional DC-DC Boost Converter
We taking calculated values from the above equation
The total force required for a towing vehicle to push the aircraft is =25.585625 KN=25585.625N
Power required for the towing vehicle to pull the aircraft=127.928125KW=127928.125 W
Torque Required with the wheels of towing vehicle to push the aircraft
Torque=force *(radius/Gear ratio)
Torque= 25.585 *(0.5/11)
Torque=11629 KN-m
Therefore the Torque required the towing vehicle to push the aircraft =1.1629 KN-m
The Energy requirement for an EV similar to the Towing vehicle to Push/Pull the aircraft is calculated on the Basis of Time
Let
Energy =Power x Time taken by the towing vehicle to push-pull the aircraft
Energy=127.928 x 0.25
Energy =31.982 KWH
Therefore power required for one single towing is=31.982 KWh
Therefore, the battery must store the energy 31.982 KWH and deliver the energy throughout the run time for the motor to produce the 1.1629 KN-m of torque. Thus the storage of energy in batteries with high-performance Ultracapacitors are selected to fulfil the required power delivery.
Motor Selection:
Here we have selected a Permanent-Magnet Synchronous Motor (PMSM) type that has a power rating of 127.928 kw and with the gear ratio and the transmission, it should be able to deliver 1.1629 KN-m of torque instantaneously.
Motor Parameters:
Type=PMSM
Model No.=APEV80-12(16)
Phase=3
Application Electric bus,Truck,passenger,car
AC Voltage=200-750V
Pole=12
Direct Current Voltage (VDC)=540V
Rated current (A)=255
Peak Current (A)=650
Rated Power (kW)-150
Peak Power (kW) =220
Rated Speed (RPM)=1650
Peak Speed (RPM)-3.300
Rated Torque (Nm)-868
Peak Torque (Nm) =3.000
BEMF (VAC)/rpm=660/2401
Insulation Grade-H Protection
Class IP67
Cooling Water
Weight (Kg)=260
The efficiency of motor=90 % (Assumed Parameter)
Duty Cycle:
Here in this case the Duty cycle of the electric power train is calculated by the output power by the input power By this, we get the efficiency of the duty cycle.
Duty Cycle = Output Power /Input Power
We know that.
Output Power=127.92 kW
Input Power =Rated Motor Power / Motor Efficiency-
Input Power =150/0.9
Input Power=166.666kW
Then
Duty Cycle =127.92/166.666
Duty Cycle =0.76
Duty Cycle =76%
Therefore the Efficiency of the Duty cycle that we get for this electric power train is=0 to 76%
BLOCK DIAGRAM OF THE POWERTRAIN
Simulink Model of Aircraft Towing Application Using DC7 Block:
Output Plot:
+
CONCLUSION:
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