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A program I wrote years ago for use in my hp 67
card-reading calculator using RPN logic
See it below (also works with hp 97 and
hp 41)
The formula is:
Z= 62900
log10
Po/P
where Z=altitude in feet, P=Pressure at the
upper limit in any units, and
Po=pressure
in same units as above corresponding to zero
altitude.
This works well to 12,000' at middle latitudes, and
assumes a mean temperature of the air column (isothermal
temperature) of 50°f.
Or, to reduce upper station readings to mean sea
level,
use the inverse of the log
Po
= P
[10x
(Z
/
62900)]
Note: This is the old isothermal calibration standard
(Bureau of Standards, Circular No.46). It was used to
calibrate altimeters for airplanes between 1917 and
1925--before airplanes could fly much over 12,000'.
But you haven't got an hp 67--hardly
anybody does anymore except me!
The old card reader calculator is 25 years old!
Alas, I can't update the calculator,
so I am bringing myself (kicking
and screaming) up to date with
Excel!
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I
have used the above formula in an Excel spreadsheet
you can download
email
me if you have trouble downloading--I
will send as email attachment.
for Mac


for Windows
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On February
13, 2003 I received this email from
Australia:
(I have
flipped this 180° for Northern
Hemisphere viewing.)
Bob,
Thanks for the spreadsheet. It works
fine. I had to estimate the height of one
dam above another dam to see if a windmill
could push the water that far uphill.
I borrowed an accurate aneroid
barometer and using your spreadsheet &
the barometer readings I could calculate
that the higher dam is 61 metres above the
lower dam.
Thanks.
Shane Lennard
Mount View
New South Wales
Australia
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You too can use a household barometer to find out the
elevation of a height near you. Just record the inches
indicated at the starting elevation and then the inches at
the upper level; enter them in the above spreadsheet.
Household barometers are good for up to about 4000 to 5000
feet, if they are calibrated to 26" or 25" respectively.
If you want to reduce an upper station elevation reading
(adjust your new barometer to the elevation of your house)
to its sea
level equivalent (which is the way all barometer
readings are reported), here is an online converter that
works with your browser.
It will also calculate the boiling point of water at any
atmospheric pressure, so you will know how to adjust the
time your 2-minute egg.
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In RPN
f LBL A ENTER STO 1 STO 6
29.97984 STO 5 RCL 1 RTN
f LBL B ENTER 32 - RCL 1 x .0001
x CHS RCL 1 + STO 6 RTN
f LBL C ENTER CHS 211.99 + STO
2
10.1184 STO 3
18.8 STO 4
29.97984 STO 5
RCL 2 RCL 4 ÷ RCL 3 x
CHS RCL 5 + STO 6 RTN
f LBL D ENTER STO 5 RTN (always
enter after LBL A)
f LBL E RCL 5 RCL 6 ÷ LOG
62900 x RTN
To
run:
Button
A enters the observed height
of the barometer in "Hg.
Button
B enters the temperature of
the thermometer in °f.
or,
Button
C enters the observed
boiling point of water in °f.
and, if known,
Button
D (optional) modifies the
default mean sea level 29.97984 Hg to a known
value.
Button
E solves for altitude in
feet.
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My 1976 hp67.
If you are using Apple's OS X, you can get a
free virtual hp41CV
RPN calculator (a newer classic hp
model) from nsim.
Looks and works just like the real deal--fully
programable too. And it runs on your computer
desktop!
I use this a lot, now.
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The Frémont expeditions and the
determination of altitude in 1844
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New reductions of Frémont's
1842 barometric register determine the
identity of the 13000' peak climbed in the
Wind River Range.
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Pioneering use of the aneroid
barometer by Goddard and Day in the Sierra
Nevada in 1855.
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