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How=20
Everything Works Home Page 10 =
Most Recent=20
Questions and Answers (out of 1583) |
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1583=
.=20
We were looking at a candle that we have in our kitchen. And =
we we=20
were confused as to why when you burn it, the wax seems to =
get less=20
and less. If the wax is just melting, where does it go? Why =
does it=20
not all just melt when you burn it and harden back up again =
when it=20
isn't burning? =97 MD, Charlottesville, VA |
|
=20
| |
As the candle burns, its wax melts into a =
liquid, that=20
liquid "wicks" up the wick (like water flowing up into a paper =
towel), and=20
then the extreme heat of the flame vaporizes the wax (it is become =
gaseous=20
wax). Once the wax is a gas, it burns in much the same way that =
natural=20
gas burns =97 it reacts with oxygen in the air to become water and =
carbon=20
dioxide. That reaction released chemical potential energy as =
thermal=20
energy.
One important difference between a candle flame and a natural =
gas=20
flame: whereas the flame of a well-adjusted natural gas burner =
emits very=20
little light (a dim blue glow), the flame of a candle is quite =
visible.=20
That's because the wax vapor in a candle flame isn't mixed well =
with air=20
before it begins to burn. Instead of burning quickly and =
completely, as=20
natural gas does in a burner that premixes the gas with air, the =
wax vapor=20
in a candle flame burns gradually as it continues to mix with air. =
The=20
partially burned wax forms tiny carbon particles. Those carbon =
particles=20
are so hot that they glow yellow-hot =97 they emit thermal =
radiation. In=20
other words, they are "incandescent". It's those glowing carbon =
particles=20
that produce the candle's yellowish light. Eventually the carbon =
particles=20
burn away to carbon dioxide.
1582=
.=20
Why does combining red, green, and blue light create white =
light? Is=20
this just an accepted fact? =97 DM, Punta Gorda, =
Florida |
|
=20
| |
Our eyes sense color by measuring the relative =
brightnesses of the red, green, and blue portions of the light =
spectrum.=20
When all three portions of the spectrum are present in the proper =
amounts,=20
we perceive white.
The color sensing cells in our eyes are known as cone cells and =
they=20
can detect only three different bands of color. One type of cone =
cell is=20
sensitive to light in the red portion of the spectrum, the second =
type is=20
sensitive to the green portion of the spectrum, and the third type =
is=20
sensitive to the blue portion of the spectrum.
Their sensitivities overlap somewhat, so light in the yellow =
and orange=20
portions of the spectrum simultaneously affects both the red =
sensitive=20
cone cells and the green sensitive ones. Our brains interpret =
color=20
according to which of three cone cells are being stimulated and to =
what=20
extent. When both our red sensors and our green sensors are being=20
stimulated, we perceive yellow or orange.
That scheme for sensing color is simple and elegant, and it =
allows us=20
to appreciate many of the subtle color variations in our world. =
But it=20
means that we can't distinguish between certain groups of lights. =
For=20
example, we can't distinguish between (1) true yellow light and =
(2) a=20
carefully adjusted mixture of true red plus true green. Both =
stimulate our=20
red and green sensors just enough to make us perceive yellow. =
Those groups=20
of lights look exactly the same to us.
Similarly, we can't distinguish between (3) the full spectrum =
of=20
sunlight and (4) a carefully adjusted mixture of true red, true =
green, and=20
true blue. Those two groups stimulate all three types of cone =
cells and=20
make us perceive white. They look identical to us.
That the primary colors of light are red, green, and blue is =
the result=20
of our human physiology and the fact that our eyes divide the =
spectrum of=20
light into those three color regions. If our eyes were different, =
the=20
primary colors of light would be different, too.
Many things in our technological world exploit mixtures of =
those three=20
primary colors to make us see every possible color. Computer =
monitors,=20
televisions, photographs, and color printing all make us see what =
they=20
want us to see without actually reproducing the full light =
spectrum of the=20
original. For example, if you used a light spectrum analyzer to =
study a=20
flower and a photograph of that flower, you'd discover that their =
light=20
spectra are different. Those spectra stimulate our eyes the same =
way, but=20
the details of the spectra are different. We can't tell them =
apart.=20
1581=
.=20
Does the power consumption drop when a four-tube fluorescent =
fixture=20
has either two tubes missing or two tubes that are burned =
out. If=20
there is a drop in consumption, how significant is it? Is it =
cost=20
effective to remove two tubes if you don't need the lumens =
of four=20
tubes? =97 M, Connecticut |
|
=20
| |
Most four-tube fluorescent fixtures are =
effectively two=20
separate two-tube units. They share the same ballast, but =
otherwise each=20
pair of tubes is independent of the other. Removing one of those =
pairs=20
from the fixture will save nearly half the energy and expense, and =
is a=20
good idea if you don't need the extra illumination.
The two tubes within a pair operate in series: current flowing =
as a=20
discharge through the gas in one tube also flows through the gas =
in the=20
other tube. That's why they both go out simultaneously. Only one =
of them=20
is actually dead, but since the dead one has lost its ability to =
sustain a=20
discharge, it can't pass any current on to its partner. Replacing =
the dead=20
tube is usually enough to get the pair working again, at least for =
while.
Leaving dead tubes in a fixture isn't the same as removing =
unnecessary=20
tubes. Tubes often die slow, lingering deaths during which they =
sustain=20
weak or flickering discharges that consume some energy without =
providing=20
much light. Also, most fluorescent fixtures heat the electrodes at =
the=20
ends of the tubes to start the discharge. During startup, the =
ballast runs=20
an electric current through each electrode (hence the two metal =
contacts=20
at each end of the tube) and the heated electrodes introduces =
electric=20
charges into the gas so the discharge can start.
That heating current is only necessary during starting, but if =
the=20
discharge never starts then the ballast may continue to heat the=20
electrodes for days, weeks, or years. If you look at the ends of a =
tube=20
that fails to start, you may see the electrodes glowing red hot. =
Because=20
of that heater current, leaving a failed fluorescent tube in a =
fixture can=20
be waste of energy and money. Be careful removing those tubes from =
the=20
fixture=97although they produce no light, they can still be hot at =
their=20
ends.
1580=
.=20
How can I describe a polymer to a group of 4th grade =
students? =97 M,=20
Hanover, Massachusetts |
|
=20
| |
Polymers are simply giant molecules that were =
formed by=20
sticking together a great many small molecules. The properties of =
a given=20
polymer depend on which small molecules it contains and how those=20
molecules were assembled. To help your students visualize this =
idea, I'd=20
go right to two familiar models: snap-together beads ("pop beads") =
and=20
spaghetti.
Snap-together beads are a perfect model for many polymers. As=20
individual beads, you can pour them like a liquid and move your =
hand=20
through them easily. But once you begin snapping them together =
into long=20
chains, they develop new properties that weren't present in the =
beads=20
themselves. For example, they get tangled together and don't flow =
so=20
easily any more.
That emergence of new properties is exactly what happens in =
many=20
polymers. For example, ethylene is a simple gas molecule, but if =
you stick=20
ethylene molecules together to form enormous chains, you get =
polyethylene=20
(more specifically, high-density polyethylene, recycling number 2, =
milk-jug plastic). Ethylene molecules are called "monomers" and =
the giant=20
chains that are made from them are called "polymers".
Polyethylene retains some of the chemical properties of its =
monomer=20
units, namely that it doesn't react with most other chemicals and =
almost=20
nothing sticks to it. But polyethylene also has properties that =
the=20
monomer units didn't have: polyethylene is a sturdy, flexible =
solid. You=20
can stretch it without breaking it. That happens because you can =
make its=20
polymer molecules slide across one another, but you can't untangle =
the=20
tangles.
To get an idea of what it's like to work with molecules that =
can slide=20
through each other but may not be able to untangle themselves, =
shift over=20
to cooked and drained spaghetti. If you dice the spaghetti up into =
tiny=20
pieces, it's like the monomers=97nothing to tangle. You can pour =
the tiny=20
pieces like a liquid. But trying doing that with a bowl of long =
spaghetti=20
noddles. They're so tangled up that they can't do much. In fact, =
if you=20
let the water dry up to some extent, the stuff will become a =
sturdy,=20
flexible solid, just like HDPE!
There is much more to say about polymers, for example, they're =
not all=20
simple straight chains and some of them cross-link so that they =
can't=20
untangle no matter what you do. But this should be a good start. =
Polymer=20
molecules are everywhere, including in paper and hair. Paper is =
primarily=20
cellulose, giant molecules built out of sugar molecules. Hair is =
protein=20
polymer, giant molecules built out of protein monomer units. =
They're both=20
sturdy, stretchy, flexible solids and they're both softened by =
water=97which=20
acts as a molecular lubricant for the polymer molecules. Not all =
polymers=20
are sturdy, or stretchy, or flexible, but a good many are. =
1579=
.=20
If microwaves are reflected by the door on a microwave oven, =
how are=20
they able to pass tens of miles from mobile phone =
transmitters=20
through solid walls and into our mobile phones? =97 JW, =
Belfast,=20
Northern Ireland |
|
=20
| |
The door of a microwave oven is carefully =
designed to=20
reflect microwaves so that they can't escape from the oven. That =
mesh that=20
you see in the door isn't plastic, it's metal. Metal surfaces =
reflect=20
microwaves and, even though the mesh has holes in it to allow you =
to=20
observe the food, it acts as a perfect mirror for the microwaves.=20
Basically, the holes are so much smaller than the 12.2-cm =
wavelength of=20
the 2.45-GHz microwave that the microwave cannot propagate through =
the=20
holes. Electric currents flow through the metal mesh as the =
microwave hits=20
it and those currents re-radiate the microwave in the reflected =
direction.=20
Since the holes aren't big enough to disrupt that current flow, =
the mesh=20
reflects the microwaves as effectively as a solid metal surface =
would.
As for how your cell phone and the cell tower can communicate =
for miles=20
despite all the intervening stuff, it's actually a challenge. The=20
microwaves from your phone and the tower are partly absorbed and =
partly=20
reflected each time they encounter something in your environment, =
so they=20
end up bouncing their way through an urban landscape. That's why =
cell=20
towers have multiple antennas and extraordinarily sophisticated=20
transmitting and receiving equipment. They are working like crazy =
to=20
direct their microwaves at your phone as effectively as possible =
and to=20
receive the microwaves from your phone even though those waves are =
very=20
weak and arrive in bits and pieces due to all the scattering =
events they=20
experience during their passage. Indoor cell phone reception is =
typically=20
pretty poor unless the building has its own internal repeaters or=20
microcells.
There are times when you don't get any reception because the =
microwaves=20
from the cell phone and tower are almost completely absorbed or =
reflected.=20
For example, if you were to stand in a metalized box, the =
microwaves from=20
your cell phone would be trapped in the box and would not reach =
the cell=20
tower. Similarly, the microwaves from the cell tower would not =
reach you.=20
Moreover, the box doesn't have to be fully metalized; a metal mesh =
or a=20
transparent conductor is enough to reflect the microwaves. =
Transparent=20
conductors are materials that conduct relatively low-frequency =
currents=20
but don't conduct currents at the higher frequencies associated =
with=20
visible light. They're used in electronic displays (e.g., computer =
monitors and digital watches) and in energy-conserving low-E =
windows. I=20
haven't experimented with cell phone reception near low-E windows, =
but I'm=20
eager to give it a try. I suspect that a room entirely walled by =
low-E=20
windows will have lousy cell phone reception.
1578=
.=20
I have been told, that incandescent light bulbs are being =
phased out=20
to be replaced by fluorescent bulbs that use less energy. =
This will=20
happen I think next year? Is that true? =97 CD, Abilene, =
Texas |
|
=20
| |
Incandescent lightbulbs will be phased out =
beginning=20
with 100-watt bulbs in 2012 and ending with 40-watt bulbs in 2014. =
The=20
reason for this phase out is simple: incandescent lightbulbs are =
horribly=20
energy inefficient.
Light is a form of energy, so you can compare the visible light =
energy=20
emitted by any lamp to the energy that lamp consumes. According to =
that=20
comparison, an incandescent lightbulb is roughly 5% efficient=97a =
100-watt=20
incandescent bulb emits about 5 watts of visible light. In =
contrast, a=20
fluorescent lamp is typically about 20% energy efficient=97a =
25-watt=20
fluorescent lamp emits about 5 watts of visible light.
Another way to compare incandescent and fluorescent lamps is =
via their=20
lumens per watt. The lumen is a standard unit of usable =
illumination and=20
it incorporates factors such as how sensitive our eyes are to =
various=20
colors of light. If you divide a light source's light output in =
lumens by=20
its power input in watts, you'll obtain its lumens per watt.
For the incandescent lightbulb appearing at the left of the =
photograph,=20
that calculation yields 16.9 lumens/watt. For the "long life" bulb =
at the=20
center of the photograph, it give only 15.3 lumens/watt. And for =
the=20
color-improved bulb on the right of the photograph, the value is =
only 12.6=20
lumens/watt. Our grandchildren will look at this photograph of =
long=20
forgotten incandescent bulbs and be amazed that we could squander =
so much=20
energy on lighting.
The fluorescent lamp in the other photograph is far more =
efficient. It=20
produces more useful illumination than any of the three =
incandescent=20
bulbs, yet it consumes just over a quarter as much power. Dividing =
its=20
light out in lumens by its power consumption in watts yields 64.6=20
lumens/watts. It is 4 times as energy efficient as the best of the =
incandescent lightbulbs. Some fluorescent lamps are even more =
efficient=20
than that.
Another feature to compare is life expectancy. Even the =
so-called "long=20
life" incandescent predicts a 1500 hour life, which is only 15% of =
the=20
predicted life for the fluorescent lamp (10,000 hours). Although =
the=20
fluorescent costs more, it quickly pays for itself in energy use =
and less=20
frequent replacement. You should recycle a fluorescent lamp =
because it=20
does contain a tiny amount of mercury, but overall it's a much =
more=20
environmentally friendly light source.
1577=
.=20
I am a 3rd grade student and would like to do a science =
project for=20
the science fair. My question is why does salt make objects =
float?=20
(small objects like eggs, paperclips) =97 MP, Brooklyn, New =
York |
|
=20
| |
Adding salt to water won't make everything =
float, but it=20
will work for an object that just barely sinks in pure water. A=20
hard-boiled egg is the most famous example: the egg will sink in =
pure=20
water, but float in concentrated salt water. To explain why that =
happens,=20
I need to tell you about the two forces that act on the egg when =
it's in=20
the water.
First, the egg has its weight=97it's being pulled downward by =
gravity.=20
That weight force tends to make the egg sink. Second, the egg is =
being=20
pushed upward by the water around it with a force known as "the =
buoyant=20
force." The buoyant force tends to make the egg float. It's a =
battle=20
between those two forces and the strongest one wins.
The buoyant force exists because the water that is now =
surrounding the=20
egg used to be surrounding an egg-shaped blob of water and it was =
pushing=20
up on that blob of water just hard enough to support the blob's =
weight.=20
Now that the egg has replace the egg-shaped blob of water, the =
surrounding=20
water is still pushing up the same amount as before and that =
upward force=20
on the egg is the buoyant force.
Since the buoyant force on the egg is equal in amount to the =
weight of=20
the water that used to be there, it can support the egg only if =
the egg=20
weighs no more than the egg-shaped blob of water. If the egg is =
heavier=20
than that blob of water, the buoyant force will be too weak to =
support it=20
and the egg will sink.
It so happens that a hard-boiled egg weighs slightly more than =
an=20
egg-shaped blob of pure water, so it sinks in pure water. But that =
egg=20
weighs slightly less than an egg-shaped blob of very salty water. =
Adding=20
salt to the water increases the water's weight significantly while =
having=20
only a small effect on the water's volume. Salt water is heavier, =
cup for=20
cup, than fresh water and it produces stronger buoyant forces.
In general, any object that weighs more than the fluid it =
displaces=20
sinks in that fluid. And any object that weighs less than the =
fluid it=20
displaces floats. You are another good example of this: you =
probably sink=20
in fresh water, particularly after letting out all the air in your =
lungs.=20
But you float nicely in extremely salty water. The woman in this=20
photograph is floating like a cork in the ultra-salty water of the =
Dead=20
Sea.
1576=
.=20
I read the letter on your website about being burned from =
water=20
exploding from heating in the microwave. This recently =
happened to=20
me with a cup of coffee. I thought it was because of the =
material of=20
the coffee cup. I too felt ridiculous trying to explain my =
injuries=20
to anyone because it seemed impossible. My question to you =
is: "are=20
microwave makers responsible for advisement of this kind of =
hazard"?=20
=97 JB |
|
=20
| |
When you use a microwave oven to heat water in =
a glass=20
or glazed container, the water will have difficulty boiling =
properly.=20
That's because boiling is an accelerated version of evaporation in =
which=20
water vapor evaporates not only from the water's upper surface, =
but also=20
through the surface of any water vapor bubbles the water happens =
to=20
contain. I use the phrase "happens to contain" because that is =
where all=20
the trouble lies.
Below water's boiling temperature, bubbles of water vapor are=20
unstable=97they are quickly crushed by atmospheric pressure and =
vanish into=20
the liquid. At or above water's boiling temperature, those water =
vapor=20
bubbles are finally dense enough to withstand atmospheric pressure =
and=20
they grow via evaporation, rise to the surface, and pop. At that =
point,=20
I'd probably call the water vapor by its other name: steam. But =
where do=20
those steam or water vapor bubbles come from in the first =
place?
Forming water vapor bubbles in the midst of liquid water, a =
process=20
called nucleation, is surprisingly difficult and it typically =
happens at=20
hot spots or non-wetted defects (places where the water doesn't =
completely=20
coat the surface and there is trapped air). When you boil water in =
a metal=20
pot on the stove, there are hot spots and defects galore and =
nucleating=20
the bubbles is not a problem. When you boil water in a glass or =
glazed=20
container using a microwave oven, however, there are no =
significant hot=20
spots and few non-wetted defects. The water boils fitfully or not =
at all.=20
The "not at all" possibility can lead to disaster.
Water that's being heated in a metal pot on the stove boils so=20
vigorously that the stove is unable to heat it more than tiny bit =
above=20
its boiling temperature. All the heat that's flowing into the =
water is=20
consumed by the process of transforming liquid water into gaseous =
water,=20
so the water temperature doesn't rise. Water that's being heated =
in a=20
glass container in a microwave oven boils so fitfully that you can =
heat it=20
above its boiling temperature. It's simply not able to use up all =
the=20
thermal energy it receives via the microwaves and its temperature =
keeps=20
rising. The water becomes superheated.
Most of the time, there are enough defects around to keep the =
water=20
boiling a bit and it superheats only a small amount. When you =
remove the=20
container of water from the microwave oven and toss in some coffee =
powder=20
or a teabag, thus dragging air bubbles below the surface, the =
superheated=20
water boils into those air bubbles. A stream of bubbles suddenly =
appears=20
on the surface of the water. Most people would assume that those =
bubbles=20
had something to do with the powder or teabag, not with the water =
itself.=20
Make no mistake, however, the water was responsible and those =
bubbles are=20
mostly steam, not air.
Occasionally, though, the water fails to boil at all or stops =
boiling=20
after it manages to wet the last of the defects on the glass or =
glazed=20
surface. I've made this happen deliberately many times and it's =
simply not=20
that hard to do. It can easily happen by accident. With no bubbles =
to=20
assist evaporation, the water's only way to get rid of heat is via =
evaporation from its top surface. If the microwave oven continues =
to add=20
thermal energy to the water while it is having such difficulty =
getting rid=20
of that energy, the water's temperature will skyrocket and it will =
superheat severely.
Highly superheated water is explosive. If something causes =
nucleation=20
in that water, a significant fraction of the water will flash to =
steam in=20
the blink of an eye and blast the remaining liquid water =
everywhere. That=20
boiling-hot water and steam are a major burn hazard and the blast =
can=20
break the container or blow it across the room. I've heard from a =
good=20
number of people who have been seriously hurt by exploding =
superheated=20
water produced accidentally in microwave ovens. It's a hazard =
people=20
should take seriously.
After that long introduction, it's time to answer your =
question. Yes, I=20
believe that the microwave makers are responsible for advising =
people of=20
this hazard. Moreover, they know that they are responsible for =
doing it.=20
If you look at any modern microwave oven user manual, you will =
find a=20
discussion of superheating or overheating. Look at your manual, =
I'll bet=20
it's in there.
But that discussion will almost certainly be buried in the =
middle of an=20
long list of warnings. For example, in one manual, the discussion =
of=20
overheated water appears as item 17 of 22, after such entries as =
"4.=20
Install or locate this appliance only in accordance with the =
provided=20
installation instructions" and "12. Do not immerse cord or plug in =
water".=20
To be fair to the manufacturer, warning 17 is longest of the bunch =
and it=20
suggests mostly reasonable precautions (although I'm not so happy =
with=20
recommendation 17a: "Do not overheat the liquid."). No Duh.
I think the issue is this: most product warnings are provided =
not out=20
of any sincere concern for the consumer, but out of fear of =
litigation. A=20
manufacturer's goal when providing those warnings is therefore to =
be=20
absolutely comprehensive so that they can point to a line in a =
user manual=20
in court and claim to have fulfilled their responsibility. The =
number and=20
order of the warnings makes no difference; they just have to be in =
there=20
somewhere.
So all those warnings you ignore in product literature aren't =
really=20
about consumer safety, they're about product liability. You ignore =
them=20
because everything now comes with a thousand of them, ranging from =
the=20
reasonable to the ridiculous. For my research, I ordered 99.999% =
pure=20
sodium chloride (i.e., ultrapure table salt). It came with a =
6-page=20
Material Safety Data Sheet that identifies it as an "Xi Irritant", =
noting=20
that it is "Irritating to eyes, respiratory system and skin" and=20
recommending first aid measures that include:
"After inhalation: supply fresh air. If required, =
provide=20
artificial respiration. Keep patient warm. Seek immediate =
medical=20
advice. After skin contact: Immediately wash with water and =
soap and=20
rinse thoroughly. Seek immediate medical advice. After eye =
contact:=20
rinse opened eye for several minutes under running water. Then =
consult a=20
doctor." So much for swimming in the ocean...
By design and by accident, our society has lost the ability to=20
distinguish real risk from imaginary risk. We treat all risks as =
equal and=20
spend way too much time worrying about the wrong ones. If you want =
to be=20
safer around your cell phone, for example, you should worry more =
about=20
driving with it in your hand than about the microwave radiation it =
emits.=20
The current evidence is that your risk of injury or death due to a =
cell-phone related accident far outweighs your risk from =
cell-phone=20
microwave exposure. Even if further research proves that cell =
phone=20
microwave exposure is injurious, we should be acting according to =
our best=20
current assessments of risk, not according to fears and =
beliefs.
That said, I'd like to see product literature rank their =
warnings=20
according to risk and put the real risks in a separate place where =
they=20
can't be overlooked or ignored. Put the real consumer safety stuff =
where=20
the consumers will see it and put the product liability stuff =
somewhere=20
else where the lawyers can find it. For a microwave oven, there =
are=20
probably about half a dozen real risks that people should know =
about.=20
Several of them are relatively obvious (e.g., don't heat sealed=20
containers) and some are not obvious (e.g., liquids heated in the=20
microwave can become superheated and explode).
Maybe we'll get a handle on risk someday. In the meantime, =
inform your=20
friends and children that they should be careful about heating =
liquids in=20
the microwave, particularly in glass or glazed containers. Just =
knowing=20
that superheating is possible would probably halve the number of =
burns and=20
other injuries that result from superheating accidents.
1575=
.=20
My mother used the time cook setting as a timer and after a =
while of=20
running it completely shut off. There was nothing in the =
microwave=20
to cook. So I guess what I would like to know is, did she =
burn up=20
the microwave? =97 JR, Hanford, California |
|
=20
| |
When you run a microwave oven without any food =
inside,=20
there is nothing to absorb the microwaves and they build up inside =
the=20
cooking chamber. Eventually, something has to absorb them and that =
something is the oven's microwave source=97its magnetron. The =
magnetron=20
isn't good at handling excessive power that returns to it from the =
cooking=20
chamber and it can be damaged as a result.
In all my years of experimenting with microwave ovens, I've =
only killed=20
a magnetron once. But then again, I haven't run a microwave oven =
for more=20
than a minute or two without anything inside it. If the oven works =
again=20
after cooling down, then you're probably OK. The oven may have =
thermal=20
interlocks in its microwave source to prevent that source from =
overheating=20
and becoming a fire hazard. If the oven fails to work after an =
hour of=20
cooling off, then you're probably out of luck. The magnetron =
and/or its=20
power supply are likely to be fried and in need of =
replacement.
1574=
.=20
Why do high heels worn by a lady walking on a wooden floor =
leave=20
impressions on the floor? =97 AK, Abbottabad, Pakistan |
|
=20
| |
High heeled shoes can produce enormous =
pressures on a=20
wooden floor and dent it permanently. To understand why that =
happens,=20
let's start with a pair of flat-heeled shoes and consider the =
forces and=20
pressures in that situation.
When a women stands on the floor, the floor must support her =
weight.=20
Specifically, she isn't accelerating so the net force on her must =
equal=20
zero. That implies that the floor must exert an upward force on =
her that=20
exactly cancels her downward weight. She is motionless and stays=20
motionless because there is no overall force on her.
Because the floor is pushing upward on her shoes, her shoes =
must be=20
pushing downward on the floor. It's an example of the famous =
"action and=20
reaction" principle known as Newton's third law: if you push on =
something,=20
it pushes back equally hard in the opposite direction. Anyway, her =
shoes=20
are pushing down hard on the floor. Now for the pressure part =
of the=20
story. Because she is wearing flats, her shoes are pushing against =
a large=20
area of the floor and the pressure=97the force per area=97she =
produces on the=20
floor is relatively small. For example, if she weighs 130 pounds =
(580=20
newtons) and her shoes have a contact area of 10 square inches (65 =
square=20
centimeters), then the pressure she exerts on the floor is about =
13=20
pounds-per-square-inch (9 newtons-per-square-centimeter or 90,000=20
pascals). That's a gentle pressure that won't permanently dent =
most woods.=20
It might dent cork or balsa, but that's about it.
But when she wears high heels, most of her weight is supported =
by a=20
very small area of flooring. If the heels are narrow spikes with a =
contact=20
area of 0.1 square inches (0.65 square centimeters) and she puts =
all of=20
her weight briefly on one of the heels, she may exert a pressure =
of 1300=20
pounds-per-square-inch (9000 newtons-per-square-centimeter or 90 =
million=20
pascals) on the floor. That's an enormous pressure that will =
permanently=20
dent most wooden floors.
You can experiment with these ideas simply by supporting the =
weight of=20
your right hand with the open palm of your left hand. If you lay =
your=20
right fist on your left palm, you won't feel any discomfort in =
your left=20
hand. The pressure on your left palm is very small. But if you =
instead=20
point right index finger into your left palm and use that finger =
to=20
support the entire weight of your right hand, it won't feel so=20
comfortable. If you shift all of the weight to your fingernail, =
it'll=20
start to hurt your left palm. What you're doing is reducing the =
area of=20
your left palm that is supporting your right hand and as that area =
gets=20
smaller, the pressure on your left palm increases. Beyond a =
certain=20
pressure, it feels uncomfortable. Long before your palm dents =
permanently,=20
you'll decide to stop the experimenting.
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------=_NextPart_000_0412_01CABC42.01FA8860
Content-Type: application/octet-stream
Content-Transfer-Encoding: quoted-printable
Content-Location: http://www.howeverythingworks.org/images/mm_menu.js
/**
* mm_menu 20MAR2002 Version 6.0
* Andy Finnell, March 2002
* Copyright (c) 2000-2002 Macromedia, Inc.
*
* based on menu.js
* by gary smith, July 1997
* Copyright (c) 1997-1999 Netscape Communications Corp.
*
* Netscape grants you a royalty free license to use or modify this
* software provided that this copyright notice appears on all copies.
* This software is provided "AS IS," without a warranty of any kind.
*/
function Menu(label, mw, mh, fnt, fs, fclr, fhclr, bg, bgh, halgn, =
valgn, pad, space, to, sx, sy, srel, opq, vert, idt, aw, ah)=20
{
this.version =3D "020320 [Menu; mm_menu.js]";
this.type =3D "Menu";
this.menuWidth =3D mw;
this.menuItemHeight =3D mh;
this.fontSize =3D fs;
this.fontWeight =3D "plain";
this.fontFamily =3D fnt;
this.fontColor =3D fclr;
this.fontColorHilite =3D fhclr;
this.bgColor =3D "#555555";
this.menuBorder =3D 1;
this.menuBgOpaque=3Dopq;
this.menuItemBorder =3D 1;
this.menuItemIndent =3D idt;
this.menuItemBgColor =3D bg;
this.menuItemVAlign =3D valgn;
this.menuItemHAlign =3D halgn;
this.menuItemPadding =3D pad;
this.menuItemSpacing =3D space;
this.menuLiteBgColor =3D "#ffffff";
this.menuBorderBgColor =3D "#777777";
this.menuHiliteBgColor =3D bgh;
this.menuContainerBgColor =3D "#cccccc";
this.childMenuIcon =3D "arrows.gif";
this.submenuXOffset =3D sx;
this.submenuYOffset =3D sy;
this.submenuRelativeToItem =3D srel;
this.vertical =3D vert;
this.items =3D new Array();
this.actions =3D new Array();
this.childMenus =3D new Array();
this.hideOnMouseOut =3D true;
this.hideTimeout =3D to;
this.addMenuItem =3D addMenuItem;
this.writeMenus =3D writeMenus;
this.MM_showMenu =3D MM_showMenu;
this.onMenuItemOver =3D onMenuItemOver;
this.onMenuItemAction =3D onMenuItemAction;
this.hideMenu =3D hideMenu;
this.hideChildMenu =3D hideChildMenu;
if (!window.menus) window.menus =3D new Array();
this.label =3D " " + label;
window.menus[this.label] =3D this;
window.menus[window.menus.length] =3D this;
if (!window.activeMenus) window.activeMenus =3D new Array();
}
function addMenuItem(label, action) {
this.items[this.items.length] =3D label;
this.actions[this.actions.length] =3D action;
}
function FIND(item) {
if( window.mmIsOpera ) return(document.getElementById(item));
if (document.all) return(document.all[item]);
if (document.getElementById) return(document.getElementById(item));
return(false);
}
function writeMenus(container) {
if (window.triedToWriteMenus) return;
var agt =3D navigator.userAgent.toLowerCase();
window.mmIsOpera =3D agt.indexOf("opera") !=3D -1;
if (!container && document.layers) {
window.delayWriteMenus =3D this.writeMenus;
var timer =3D setTimeout('delayWriteMenus()', 500);
container =3D new Layer(100);
clearTimeout(timer);
} else if (document.all || document.hasChildNodes || window.mmIsOpera) =
{
document.writeln('');
container =3D FIND("menuContainer");
}
window.mmHideMenuTimer =3D null;
if (!container) return;=09
window.triedToWriteMenus =3D true;=20
container.isContainer =3D true;
container.menus =3D new Array();
for (var i=3D0; i |