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from the runway threshold to the approach
flight track position along the extended
centre line of the runway for which the
position of the aeroplane need no longer be
recorded.
metres
6.3 Flight profile distances
Distance Unit Meaning
AB metres Length of rake-off roll. The distance along
the runway between the start of take-off roll
and lift-off.
7. MATHEMATICAL FORMULATION
OF NOY TABLES
AK metres Take-offmeasurement dktance. The distance
from the start of roll to the take-off noise
measurement station along the extended
centre line of the runway. Note I.- The relationship between soundpressure level and
perceived noisiness given in Table Al-I is illustrated in
Figure AI-3. The variation of SPL with log n for a given
one-third octave band is expressed by either one or two straight
lines depending upon the frequency range. Figure AI-3 a) illustrates
the double line case for frequencies below 400 Hz and
above 6 300 IZz and Figure Al-3 b) iillustrutes the single line
case for all otherfiquencies.
AM metres Take-off flight track distance. The distance
from the start of roll to the take-off flight
track position along the extended centre line
of the runway for which the position of the
aeroplane need no longer be recorded.
KQ metres Memured take-off noise path. The distance
from station K to the measured aeroplane
position Q.
The important aspects of the mathematical formulation are: KQc metres Corrected take-off noise path. The distance
from station K to the corrected aeroplane
position Q,. a) the slopes of the straight lines p(b) and p(c);
KR metres Measured take-off minimum distance. The
b) the intercepts of the lines on the SPL-axis, SPL(b) and
SPL(c); and
distance from station K to point R on the
measured flight path.
APP 1-17 2411 1105
Annex 16 - Environmental Protection Volume I
c) the coordinates of the discontinuity, SPL(a) and log n(a). a) SPL < SPL(a)
Note 2.- Mathematically the r-elationship is expressed as n = antilog M(b) [SPL - SPL(b)]
follows:
Case I: Figure AI-3 a): f < 400 Hz
b) SPL 2 SPL(a)
f > 6 300 Hz n = antilog M(c) [SPL - SPL(c)]
SPL(c) - SPL(b)
log n(a) =
~ ( b-) p( c)
SPL - SPL(b)
n = antilog
~ ( b )
b) SPL > SPL(a)
SPL - SPL(c)
n = antilog
P(c)
c) log n < log n(a)
SPL = p(b) log n + SPL(b)
c) log n < log n(a)
log n
SPL = -Mb) + SpL(b)
4 log n 2 log n(a)
log n
SPL = - + SPL(c)
M(c)
Case 2; Figure AI-3 b): 400 < f < 6 300 Hz
n = antilog M(c) [SPL - SPYc)]
log n
SPL = - + SPL(c)
Mc)
Note 4.- Table A1-4 lists the values of the important
constants necessary to calculate sound pressure level as a
Jicncfion ofperceived noisiness.
4 log n 2 log n(a)
SPL = p(c) log n + SPL(c) 8. SOUND ATTENUATION IN AIR
Case 2: Figure AI-3 b): 400 5 f 5 6 300 Hz 8.1 The atmospheric attenuation of sound shall be determined
in accordance with the procedure presented below.
SPL - SPL(c)
n = antilog 8.2 The relationship between sound attenuation, fi-equency,
P(C) temperature and humidity is expressed by the following
equations:
SPL = p(c) log n + SPL(c)
a(i)= i0[2.05 log (tJ1000) + 1.1394 X 1 0 ~-~ 18.91 69841
Note 3.- Ifthe reciprocals oj'the slopes are dejined as:
+ ,.,(6) lo[log 6)+ 8 .42994 x 1 0 ~-~ 2.1855 6241
M(b) = I/p(b)
the equations in Note 2 can be written,
Case 1: Figure AI-3 a): f < 400 Hz
f > 6 300 Hz
M(b) M(c) [SPL(c) - SPL(b)]
log n(a) =
M(c) - M(b)
where:
q(6) is given by Table AI-5 and& by Table A1-6;
a(i) being the attenuation coefficient in dB/100 m;
0 being the temperature in "C; and
H being the relative humidity.
2411 1/05 APP 1-18
Appendix 1 Annex 16 - Environmental Protection
a)
-1 95
u C
I
I
I
I
I
I
I
I
I
I
I
0 log n fa)
Log perceived noisiness, log n
0
Log perceived noisiness, log n
Figure A1-3. Sound pressure level as a function of perceived noisiness
APP 1-19
Annex 16 - Environmental Protection Volume I
Table A1-4. Constants for mathematically formulated noy values f: f Me) SPL
SPL Mfc)
@! fa) (4
Hz dB dB IdPB L 1
APP 1-20
Appendix 1
Table A1-5
Annex 16 - Environmental Protection
Table A1-6
one-third octave fv one-third octave f ,
centre frequency (Hz) centre frequency (Hz)
50 50 800 800
63 63 1 000 1 000
80 80 1 250 1 250
100 100 1 600 1 600
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