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BAROMETER AS
ANOTHER MEASURING TOOL
A few years ago
some cyberspace creativity friends took on a traditional engineering
school challenge.
If the only tool
you have is a barometer how many different ways might you be able to
measure the height of a building?
The following have
been categorized into groups. The following list took about 72 hours
and the ideas came from around the world via the internet.
Art Ok, I can
approach this from a point of complete ignorance, so I'll give it a
humble try and prepare to eat my humble pie. My first thought is
that you can measure the building in proportion to some other object
for which the height is known. In drawing class we would hold a
pencil at arms length to measure objects in proportion to one
another. So enlist a perfect 5 or 6 foot tall friend to stand in
front of the building. Now, figure out how many stories the building
has and where the division between stories occurs on the building's
facade. Walk far enough away from the building so that when you hold
the barometer at arms length it subtends the height of the first
story. From that position, measure the height of your friend on the
barometer and mark it in some way (hmmm no tools, pencils, or
tape...hold your finger there). Now figure out the proportion
between your friends height and the story height and calculate the
height of each story, multiply by the number of stories and you
should come pretty close. If you know the exact size of the
barometer and the exact height of the friend, you can probably work
out proportions for any extras like observation towers and flagpoles.
Are barometers always the same size? Do casings vary? pamela J.
Shapiro
Chall - 5) Have a
challenge like this, so that many other people can give you ideas
Eunice T.
Competition -
Offer the barometer as first prize in a 'guess the height of the
building' competition. David Weeks
Const - a
surveyers transit to measure the angle..Chris Barlow
Const - heck, hire
a local surveyer to measure it for you..Chris Barlow
Const - knock down
the building on its side and walk along and measure it in barometers.
then multiply it times the length of the barometer..Chris Barlow
Const - My .02:
Get a barometer that is as large as the building. look in the
maker's catalog to verify height! Ron Yurman
Const - sell the
barometer, rent a Ryder truck, buy some fertilizer, change the
building height to zero...Chris Barlow
Contest - 2.
Gather together a group of first graders or kindergarden students and
ask them how they would measure the height of the building and give
the "winner" the barometer as a prize. Bob Carr
Geom - 1. I know
from the barometer in my parents house some 20 years ago, that there
is a rotatable indocator to mark the actual airpressure. With the aid
of this indicator, a baromater can be used as a trigonometric
instrument - angles can be measured. And thus it becomes a classical
geodetic instrument and in an easy way heights of buildings can be
calculated (with a tangantial table). B.T.W. the same technique is
aplicable with an ordinary wrist watch (analogue). Leo Minnigh
Geom
- 2. Measuring the angle between the horizontal and the half height
of the building (the middle of the building can be determined be the
stetched arm-finger-method. Leo Minnigh
Geom - 2. Shadow.
On a sunny day, measure the shadow the high-rise building casts
beside the shaddow of the barometer, factoring in the angle of the
sun and the time of day. Theoretically,at a certain spot at noon
they would each cast the same shaddow...directly beneath them. Bob
Carr
Geom - 3. Another
one is using the difference between the angle of the shadow and the
angle from another position to the top of the building. Leo Minnigh
Geom - 3. Measure
the length of the shadows of the barometer and the building,
calculate the proportional ratio Rolf Smith
Geom - 3. Use math
of triangles - from a measured distance from the building - first
measure baronmeter then building - wha they call 'smimilar
triangles.' George Torok
Geom - As we would
know the height of the barometer .. we place it in the sun and
measure it's shadow .. we need to be careful to record both the
height and length of the shadow on a piece of paper we do not lose.
We then measure the length of the tower's shadow and using simple
ratios come up with the height. Dan Hayes
Geom - Keep the
barometer along the line of sight of the point on the ground from the
top of the building and measure the angle between the building and
the barometer. Trignometrically the height of the building could be
found. Venkat Ramani
Geom - measure its
shadow and its height. measure the building's shadow. Calculate
using ratios. Tim Erin
Geom - measure its
shadow and the shadow of the building and use ratio and proportion
Gary Noseworthy
Geom - Scout - The
Scout method: Stand back a sufficient distance. Hold the barometer
in your hand at arm's length, looking at the building. Mark the peak
of the building on the barometer. Now turn the barometer as if
laying the length of the building down, and determine a landmark from
the building that is that same distance away from it as the building
is tall. Note the landmark carefully. Go pace off the distance. Ed
Darr
Geom - Use the
barometer to find a sunny day :-). Stand next to the building and
wait till your shadow is as long as you are yourself (or for that
matter, twice as long or half as long). Now watch the shadow of the
building. It is as long as it's height (or double or half). Your
answer lies on the ground. Thomas de Boer
Geom
- you could take the barometer out on a sunny day and measure the
height of the barometer, the length of its shadow, and the length of
the shadow of the building, and by the use of simple proportions,
determine the height of the building. Alice Macpherson based on
letter
Gift - 1. Tell the
building custodian "Hey! I'll give you this nifty barometer if
you'll tell me how tall the building is." Rolf Smith
Gift - a) Go to
the caretaker of the building and ask him (or her) what the height of
the building is. Offer the barometer in exchange for the important
piece of knowledge. Charles Cave
Gift - besides
trading the barometer to the janitor for telling the height,..Chris
Barlow
Gift - offer it to
the superintendent as payment for telling you how tall the building
is Gary Noseworthy
Gift - Probably
the best is to take the barometer to the basement and knock on the
superintendent's door. When the superintendent answers, you speak to
him as follows: 'Mr. Superintendent, here is a fine barometer. If
you will tell me the height of the building, I will give you this
barometer.' Alice Macpherson based on letter
Gift - something
nice for the professor to bribe him or her to allow you to pass the
test..Chris Barlow
Gift - something
nice for your classmate so you can copy their answer..Chris Barlow
Gift - Tell the
owner you are from the city councils quality of envirinment
committee.[snip] You give him at the same time, looking intelligently
at your barometer, a random estimate that of course is way too high,
so that he can see the trouble coming. I'am sure he will immediately
respond with the exact height to avoid that. Cor Kurpershoek
Gift - trade it
to:-the architect..Chris Barlow
Gift - trade it
to:-the city plans office to get access to the plans..Chris Barlow
Gift - trade it
to:-the construction firm that built it..Chris Barlow
Gift - trade it
to:-the engineering firm that built it..Chris Barlow
Gift - trade it
to:-the FAA records (if it is tall enough)..Chris Barlow
Info - 3) Stand in
front of the building, wonder out aloud, " Hmm..I wonder how
high this building is...." Then wait for someone to give u the
answer. meanwhile, exchange the barometer for a drink in case u're
thirsty Eunice T.
Info - 4. Ask the
engineer who designed the building George Torok
Info
- 4. Blue prints. consult the blue prints to see what the original
design called for. Bob Carr
Info - 5. Ask the
builder/designer. Hopefully they knew what they wanted when they
started. Bob Carr
Info - 5. Check
the blueprints. George Torok
Info - 6. Ask the
owner or the person who paid to have the building built. Did he/she
get what he wanted? Bob Carr
Info - call your
local cell phone company probably already knows the height because
they want to put an antenna on top..Chris Barlow
Info - Contact the
owner of the building, give her the barometer as a present and ask
the height. Thomas de Boer
Info - Gift Whole
brain: swap the barometer for a Good cuppa java, go to the town
hall, look up the building permit specs. Donald P. Gauger
Info - gift - ask
someone how high the building is in exchange for the barometer Paul
Rousseau
Info - sell the
barometer and buy:-satellite photos with shadows that will allow you
to determine the height..Chris Barlow
Info - sell the
barometer, go to the local casio, run it up to a few million dollars,
buy the building, then look at the sales contract. or donate the
money to your school for a new building and the president will make
sure you graduate with honors...Chris Barlow
Info - the local
fire department who has determined if they can get on top for a
fire..Chris Barlow
Info - the US
Georgraphic and mapping service topographical maps should show a
height of a decent sized building..Chris Barlow
Info - Threat 1-Go
to the top of the building with your barometer. 2-Wait for the mayor
or some celebrity to go past on the street below. 3-Hurl the
barometer at them. (Black-hat - if your aim is good you can go
through a lot of politicians) John Trevithick
Info - Threat
Second attempt. 1-sneak into the boiler room. 2-shut off all the
safety valves, and crank up the pressure. 3-replace the pressure
gauge with the barometer, so no-one will notice. 4 & 5- as above
4-Escape with your hide intact. 5-Read the papers the following day.
Somewhere in the in-depth coverage a journalist is bound mention the
height of the building. . John Trevithick
Info
- threat OK. The "I'm bad at math" method to determine the
correct height of the building using only a barometer: Step 1. Enter
the building. When questioned by the security guard about your
purpose reply in gruff tones "Look bud, if I don't get this
Framistat guage in the boiler (wave barometer in guard's face) you're
gonna' have a whole building full of unhappy people!" March
quickly by and locate the brass information plaque that indicates the
year of construction and the architectural firm that designed the
building. Leave the building. Step 2. Go downtown and enter the City
Records Building. When you encounter the front desk clerk tersely
pointing at the "No Unauthorised Personnel" sign, reply in
gruff tones "Look bud, if I don't get this Framistat guage in
the boiler (wave barometer in guard's face) you're gonna' have a
whole building full of unhappy people!" March quickly by and
locate the drawings for the building in question. Find the height.
Voila. Joseph G. Lansing
Math - Econ - Ask
an economist what the price is for such a building per square metre.
Get the total building cost and the total content in square metres of
the building. Then proceed to calculate the height from that and
check with the other calculation. Economists don't want to be wrong.
Find out the cost of the barometre and you can tell how many
barometres the building is worth. Cor Kurpershoek
Meas - 1) climb
the flights of steps, count the total no. of steps * height of each
step....use the barometer as a walking stick ....Eunice T.
Meas - 1. Tie
the Barometer to a thread. Go to the First Floor and release the
thread through the window until it touches the Ground. Note the
Length. Count the Number of windows and multiply it with the length
noted. Go to the top of the building and again release the thread
until it reaches the bottom end of the top floor window. Add to the
figure You have arrived earlier. Thats the Height of the Building.
Sridhar Vanaparthi
Meas - 2) Stand
some distance away from the building, hold the barometer
horizontally, close to your eyes and try to look for another building
of similar height, then go find out the height of that building from
whoever's responsible Eunice T.
Meas - 2. Ride the
elevator to the top floor and notice how long it takes. Ask the
elevator company (Otis?) how many feet the elevator climbs per
second. Multiply as necessary. Use the barometer to prop open the
elevator door as you do your math. Chris Dehlinger
Meas - 3. Take a
photo of the high-rise and a photo of the barometer from the same
angles, and then compare the two and determine how many barometer
lengths it would take and convert that number into your measurement.
Bob Carr
Meas - 4. Lower it
on a string a measure the length of string. Rolf Smith
Meas - 6. use the
barometer as a meauring stick. George Torok
Meas - a ball of
string long enough to measure the building..Chris Barlow
Meas
- a If the length of the barameter is measurable, use it to size up
the height of each step, create a mulitplication factor-i.e. each
step is 1.2x the length of the barameter.Count the number of step to
each floor. Multiply by the number of floors to get building height.
Walter Derzko
Meas - b) Tie the
barometer onto a piece of string and lower it from the top of the
building. Measure the amount of string used. (You may need a lot of
string). Charles Cave
Meas - Const - 1.
Smash the barometer into small pieces with a large hammer 2.
Collect all the wooden pieces 3. Boil them in water for three
weeks 4. Take the resulting pulp and make a =BD inch wide strip
5. Allow to dry 6. Measure the resulting strip 7.
Stick it on the building 8. Photograph the result 9.
Measure the image of the strip and the image of the building 10.
Building Height =3D length of strip * building image length/strip
image length David Hill
Meas - Cont There
is a very basic measurement method you will like. In this method,
you take the barometer and begin to walk up the stairs. As you climb
the stairs, you mark off the length of the barometer along the wall.
You then count the number of marks, and this will give you the height
of the building in barometer units. Alice Macpherson based on letter
Meas - Exch -
Exchange the barometer for a yardstick. Then measure the height of
one floor (and the thickness of the ceiling), estimate the number of
floors and bingo! Thomas de Boer
Meas - Geom
Measure about 10 AM or 3 PM on a sunny day, measure the shadow of the
barometer and of the building. The ratio of shadow to reality is the
same for both, so calculate the height of the building with simple
ratios...Chris Barlow
Meas - Have
already mentioned the string method? Tie a string to the barometer,
lower it off the top of the building. Measure the length of the
string. Ed Darr
Meas - Helicopter
Get a lift to 10,000 feets (or someway above the building). Drop the
barometer and time the drop. Using the appropriate maths work out
that distance and then calculate the building height. David Weeks
Meas - Left brain:
measure the barometric pressure on top of the building and on
ground level; consult a physical scientist, use the pressure delta
and calc the height. Donald P. Gauger
Meas - Lower it on
a string and measure the length of the string by arm-spans (6 ft?)
Gary Noseworthy
Meas - Magnify
ladder (or it may be a small high rise) The gigantic barometer is in
the shape of a ladder. Climb up with a tape measure. David Weeks
Meas
- Magnify Rule Use the gigantic barometer as a rule marked in 1 metre
lengths measure the building by placing the barometer against it.
David Weeks
Meas - Measure the
exact height of the barometer. Then stand the barometer on the
ground and wait until the length of its barometer's shadow matches
the height... at that moment mark the length of the shadow of the
building...it will be the same as the height of the building. Tim
Benoit
Meas - Or, you
could count the number of stories in the building. Measure the
height of the first story and multiply by the number of stories in
the building. The barometer in this case becomes one of those pieces
of irrelevant data that are so popular in this kind of problem. Tim
Benoit
Meas - Right
brain: climb the side of the building measuring the side as you go
with the barometer as a gauge stick; calc. the height. Donald P.
Gauger
Meas - Take the
barometer to the top of the building, attach a long rope to it, lower
it to the street, and then bring it up, measuring the length of the
rope. The length of the rope is the height of the building. Alice
Macpherson based on letter
Meas - Taking dial
of the barometer out and rolling it up the wall to the first window
and then 2*pi*r * number of floors would be fun too, assuming we have
a good eye to estimate the radius correctly. Dimitri Ostapenko
Meas - Tie a
string to it. Lower it from the top of the building and measure the
length of the string. Tim Erin
Meas- Cont 3.
Brick measure. Assumption:that because it is a "high-rise",
it is made of brick. If the height of the barometer is known, then
measure it against the height of a brick; factor in the height of
cement between bricks; count the number of layers of bricks, and
there you have it. The trick is finding someone to count the bricks.
Bob Carr
Meas- lower the
barometer on a string, then measure the string..Chris Barlow
Mech - Melt down
the barometer, make a wire, mark it off in feet, hang it from the top
and read off the measure...Chris Barlow
Military - Perform
a controlled series of test vertical test *launches* of the barometer
with a known explosive, such as C-4; determine the
vertical-height-per-explosive increment, then blast that puppy as
high as the building. Simple division will then yield the height of
the building. Mike Beardsley
Mtn - Climb the
side of the building, using the barometer to measure off "barometer
lengths" .... when you get to the top, you'll know how many
barometers tall the building is. Tom Przybylski
Phys - 1. A
barometer measures pressure - so measure at the base and top -
compare and do some mathemtical formual to caluculate the hieght.
George Torok
Phys
- 1. Gravity. Drop the barometer from the top of the building and
measure the time it takes to hit the bottom...calculate
distance=rate(gravity)x time. Bob Carr
Phys - 2. Drop the
barometer from the top and time it's fall. Do math again. George
Torok
Phys - 2. Throw it
off the top, count the seconds until you hear it hit the bottom,
calculate the the height from the speed of sound. Rolf Smith
Phys - actually,
weighing the pendulum accurately enough -- with a spring scale, not a
balance scale, should give different weights at different distances
from the earth.....Chris Barlow
Phys - Also, that
horse's hair that's inside could be used to suspend the barometer,
while standing on the roof, all the way down to the ground (we could
only hope that said hair is long enough) , time one cycle and then
use pendulum calculations to determine the height. Dimitri Ostapenko
Phys - c) Drop the
barometer from the top of the building and time the fall. I forget
the equations but you can derive the distance falled given the number
of seconds. Charles Cave
Phys - Drop it and
time its fall. Gary Noseworthy
Phys - Drop it
from the top and measure the time to hit the ground. Calculate
taking into account all known sources of error. Tim Erin
Phys - Drop the
barometer from a point of know distance (length) and count how many
seconds it takes to fall that distance. Then, drop the barometer
from the building in question and count the number of seconds it
takes to fall that distance. The height of the building may be
calculated by comparing the drop time and distance to that calculated
in the benchmark exercise. Mike Bixler.
Phys - Drop the
barometer from the top of the building, time its fall. With a good
physics text you can find the formula to determine the distance of
the fall. Ed Darr
Phys - Drop the
barometer, time the difference between when you see it crash and when
you hear it. For most building heights you can assume that the light
travels instantaneously without seriously affecting your
calculations. Sound travels at about 1100 feet per second; do the
math. Ed Darr
Phys - drop it and
listen for the breakage and calculate the height based on the time
and the 32 ft/sec squared force of gravity...Chris Barlow
Phys - Get someone
to shine a torch (flashlight) from the roof. Reflect it back using
the glass on the front of barometer. Time difference. Practically
very difficult. David Weeks
Phys
- go to the top of the building and drop the barometer and count how
long it took to reach the ground and compare this with standardized
data for objects of similar weight dropped from buildings Paul
Rousseau
Phys - Gravity
Fire it into the air(This is a cannon ball shaped barometer) until it
reaches the building top. Knowing force used and mass calculate the
height. David Weeks
Phys - I didn't
read all the answers, but we certainly could drop barometer from the
roof, time the difference between the moment we see it break into
thousand little barometers and the moment we hear the sound.
Multiplying this time by the speed of sound we could get the height
of the building. Dimitri Ostapenko
Phys - If a
barometer is the tool than the measure is in atmospheres. The ground
measure would be different than the top measure. This would have
meaning to one who would offer a barometer. Indeed an altimeter is
only a moving location barometer. Jack M. Fox
Phys - measure the
barometric pressure differences at known altitudes and derive an
equation using the differences between the ground level pressure and
the roof top pressure. Gary Noseworthy
Phys - Or, you
could take the barometer to the top of the building, get out your
stopwatch and drop the barometer over the side. Start your stopwatch
when the barometer smashes into the sidewalk and stop it when you
hear the crash. The time the sound takes to reach your ear
multiplied by the speed of sound should give you the height of the
building. Tim Benoit
Phys - Take the
barometer to the top of the building and lean over the edge of the
roof. Drop the barometer, timing its fall with a stopwatch, then,
using the formula S=0.5*a*t^^2, calculate the height of the building.
Alice Macpherson based on letter
Phys -
theoretically, but not practically, there is a way to use the
barometer as a pendulum and measure the force of gravity at the top
and the bottom, thus calculating the height...Chris Barlow
Phys - walk up the
building and do mathematical calculation on the changes in
atmospheric pressure Paul Rousseau
Phys - You have a
very sensitive barometer. Get someone to clap their hands at the top
of the building and note when it reaches the base of the building by
detecting the pressure wave. Have some way of timing the transition
and knowing the speed of sound calculate the distance. David Weeks
Phys - you can tie
the barometer to the end of a string, swing it as a pendulum, and
determine the value of g at the street level and at the top of the
building. From the difference between the two values of g, the
height of the building, in principle, can be calculated. Alice
Macpherson based on letter
Pres
- Just thought of one more...just ask the building designer,
architect and give them a present in return for giving you the
height-the barameter. Walter Derzko
Sport - 1. Hold a
contest (perhaps a new olympic event) to see who can throw a
barometer to the exact height of the building. A judge can stand on
top of the building and determine which one was at the exact height,
and then calculate the rate of descent (gravity) and determine the
distance. Bob Carr
Super - 1. Have
Spiderman climb up the side of the building. Estimate the length of
his climbing gait and multiply by the number of steps he took. Give
him the barometer as a reward. Chris Dehlinger
Threat - 4)
threaten to drink the mercury (i think) till somebody gives u the
answer Eunice T.
Threat - Stand on
the roof holding the barometer and when the firemen come to rescue
you ask them how far up the cherry picker has elevated. Gary
Noseworthy
Threat - Third
attempt 1- stick the barometer in your coat pocket. 2- go see the
architect who designed the building. 3- pretend the barometer is a
gun, and force the information out of the sucker. PS. Is it a
requirement of this quiz that we remain out of prison? >:->
John Trevithick
Threat - Threaten
the owner that you will give him a bashing with the barometer, unless
he tells you the height. Cor Kurpershoek
© 1997, 1998, 1999, 2000, 2001, 2002, 2005, 2006 Robert Alan Black, Ph.D. CSP
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