Royal Air Force Aircraft Data:-
Key For Colours
= Training
= Reconnaissance
= Front Line Attack/Defence
= Transport/ Tanker
United States Air Force Aircraft Data:-
Key For Colours
= Training
= Reconnaissance
= Front Line Attack/Defence
= Transport/ Tanker
RAF Aircraft Calculations
Training aircraft average speed: (621 + 572 + 645) /3 = 613 mph
Training aircraft average Range: (1852 + 1864 + 1829) /3 = 1848 miles
Training aircraft average Wingspan: (9.39 + 9.11 + 9.42) /3 = 9.31m
Training aircraft average Length: (11.17 + 13.23 + 12.65) /3 = 12.35m
Reconnaissance aircraft Average speed: (1452+580) /2 = 1016 mph
Reconnaissance aircraft Average range: (3765+3630) /2 = 3697 miles
Reconnaissance aircraft Average wingspan: (13.9+19.5) /2 = 16.7m
Reconnaissance aircraft Average length: (16.7+19.95) /2 = 18.33m
Frontline aircraft average speed: (1255+1317+690+1056) /4 = 1082 mph
Frontline aircraft average range: (2299+3001+1766+2876) /4 = 2485 miles
Frontline aircraft average wingspan: (10.95+13.91+9.25+9.45) /4 = 10.89m
Frontline aircraft average length: (15.96+16.72+11.78+13.88) /4 = 14.59m
Transport/Tanker aircraft average speed: (374+580+545+469) /4 = 492 mph
Transport/Tanker aircraft average range: (5781+4720+4201+3880) /4 = 4646 miles
Transport/Tanker aircraft average wingspan: (40.4+44.55+50.14+39.7) /4 = 43.7m
Transport/Tanker aircraft average length: (34.37+52.23+50.4+44.81) /4 = 45.45m
With this information I will now be able to draw speed, length, range and wingspan bar graphs, I will also be able to take the averages of this data to answer the questions on the previous page.
USAF Aircraft Calculations
Training aircraft average speed: (648+1340+812) /3 = 933 mph
Training aircraft average Range: (1011+920+1093) /3 = 1008 miles
Training aircraft average Wingspan: (16.1+13.3+7.7) /3 = 12.4m
Training aircraft average Length: (17.2+18.56+13.9) /3 = 16.6m
Reconnaissance aircraft Average speed: (454+2001) /2 = 1228 mph
Reconnaissance aircraft Average Range (4540 +2981) /2 = 3761 miles
Reconnaissance aircraft Average Wingspan: (35.41+16.94) /2 = 26.18m
Reconnaissance aircraft Average Length (13.5+32.74) /2 = 23.12m
Frontline aircraft average speed: (1190+1333+1518+1451) /4 = 1373 mph
Frontline aircraft average range: (2254+2431+3570+3165) /4 = 2855 miles
Frontline aircraft average wingspan: (11.43+9.45+13.05+19.2) /4 = 13.3m
Frontline aircraft average length: (17.07+15.03+19.43+22.4) /4 = 18.5m
Transport/Tanker aircraft average speed: (430+508+571+435) /4 = 486 mph
Transport/Tanker aircraft average range: (6245+3225+6850+6598) /4 = 5730 miles
Transport/Tanker aircraft average wingspan: (31.39+50.29+67.88+49.85) /4 = 49.85m
Transport/Tanker aircraft average length: (19.03+53.04+75.53+52.88) /4 = 50.12m
Speed:
This chart compares the average speeds of the aircraft from both forces; we can see that in three of the roles there is a significant difference in speeds. The USAF has a higher average speed in three out of the four roles.
I can use this graph and the calculations on the previous page to answer question 1, who has the fastest air force?
USAF
(933+1228+1373+486) /4 = 1005 mph
RAF
(613+1016+1082+492) /4 = 801 mph
- The fastest air force is the United States Air Force, I found this by taking averages of the aircraft in the four groups, I then took an average of those speeds and my answers are shown on the previous page in a graph and as sums.
RAF
USAF
Stem & Leaf Diagram For Speed
Range:
I used this graph to show the comparison of the two forces range, as you can see this time their a lot more even than the Speed results, this may be because both forces use very similar aircraft, for example the C130K (RAF) Hercules is made by Lockheed-Martin as is the C130J (USAF).
But to answer question 2 I must take an average of all four roles:
RAF
(1848+3697+2485+4646) /4 = 3169 miles
USAF
(1008+3761+2855+5730) /4 = 3339 miles
- Using the calculations and the graph above you can see that the USAF has a greater overall range; this answers Question 2 and tells us that the USAF can fly further than the RAF.
RAF
USAF
Wingspan:
This graph shows us the average wingspans of the RAF and USAF, comparing them with each other. Once again the USAF have higher averages, this tells us that they will have a higher overall average that I will calculate:
RAF
(9.31+16.7+10.89+43.7) /4 = 20.15m
USAF
(12.4+26.18+13.3+49.85) /4 = 29.88m
- We can now answer question 3 accurately, the USAF have a higher wingspan average than the RAF but in war this doesn’t really affect the air force but if an aircraft has a larger wingspan it has the space to carry more weapons or more engines if it is a large aircraft.
RAF
USAF
Length
The length of an aeroplane along with its wingspan determine the manoeuvrability of the aircraft, if an aircraft is manoeuvrable than it can attack accurately whilst dodging enemy fire which makes it a good aircraft, the USAF have a higher average (again!) than the RAF and therefore the answer to question 4 is the USAF.
RAF
(12.35+18.33+14.59+45.45) /4 = 22.68m
USAF
(16.6+23.12+18.5+50.12) /4 = 28.21m
To answer question 5 I need to find the cumulative frequency (see table below), I will use this to make a cumulative frequency graph from which I can then find the median, upper quartile, lower quartile and finally the Inter-Quartile range.
RAF
USAF
Evaluation
I felt overall my project was a success, I think I have achieved the goals I set out to do, i.e. presentation, standards of mathematics. There were some things I would have changed; I would make the questions I set myself more specific, I would have done the Box &Whisker diagrams on computer and I would have liked to use more data.
I believe the weaknesses in my project were the short/brief explanations this was because I found it hard to explain the graphs/ charts and diagrams I used. I also believe the prediction wasn’t as detailed as it should have been, there was no real math used in the prediction.
Next time I would improve on all the things I have mentioned and I would try to obtain more aircraft data so that it can be more accurate, but this is difficult as there is a limited amount of data available.