That would be -- 30# + 30# + 30# . . . etc.
124 square inches are needed.
What process was used to get that answer ?
How do these variables "fit" into the concept ? --
from: -- physics begins with an M -- mysteries, magic and myth -- p 130
6.) Why do bicycle tires need to be pumped up to higher pressure than automobile tires when they don't need to support as much weight ?
It is certainly true that bicycle tires do not need to support as much weight as automobile tires.
The difference in weight may be perhaps a factor of 20 or 30.
But,
consider the difference in area of the contact region between the tire and the ground.
Bicycle tires are much thinner ( less wide ) than automobile tires. In addition, there are only two tires
on a bicycle and four on an automobile.
Thus, the total area of contact is much less for a
bicycle than for a car, by a factor of 40 or 50.
So, for the bicycle, even though the required force is less, the force is spread out over a smaller area, which more than com pensates for the smaller force and the resulting pressure must actually be higher.
Bicycle tires will work at lower pressures, of course, but the flatter tire will have more
area in contact with the ground ( more friction -- more work to move ), so that it still provides the same force.
Similarly, we
could pump an automobile tire to a higher pressure. The result would be that the edges of
the tire would lift off the road, resulting in a reduced area.
Leyden note:
since the area of the bike tire is 40-50 times smaller -- and the weight is 20-30 times smaller --- the total lifting effect is about 2 times less than needed. So-o-o-o-o --- the bike tire is inflated to 2 times more pressure as an auto tire in order to compensate. That is why the pressure may be 60 # / sq. in.
The automobile industry, the tire industry, and some independent pollution experts
have long been concerned about what may seem to be a trivial problem. Two specialists
in the chemistry department of the Ford Motor Company have estimated that 600,000
metric tons of tire tread are worn off American vehicles every year. The possibility was
more than remote that all of this material might remain in the air, in suspendable
particles, which could be dangerous to humans. So they sought a way to measure what
happens to the disappearing tread.
Still, the combined results of these experiments did provide quite a lot of information about exactly what happens to tire tread. Whereas the most common substance in exhaust fumes is dangerous lead, the most plentiful tire debris is in the form of styrene- butadiene rubber (SBR), the most common rubber hydrocarbon in treads.
Most of the tread debris is not in the form of gas, but rather in microscopic particles that are heavy enough to fall to the ground.
All road and tunnel tests seem to confirm that particle debris found along roadsides accounted for at least 50 percent of the total missing tire tread, and possibly much more. One study indicated that 2 percent of all roadside dustfall consisted of worn tread material. Another study, in Detroit, found that of the total particulate loading in the air, only 1 percent was tread dust. Even in tunnel tests, tire tread comprised only 1 to 4 percent of the total airborne particulate matter generated-a percentage far less than that of the exhaust emissions of gasoline-and diesel-powered vehicles.
All the tests concur, then, that the vast majority of worn tread in particle form falls on the ground instead of staying in the air.
What happens to the rest of the worn tread ?
Much of it is dissolved through oxidation and
devulcanization ( a chemical reaction that reverses the process used to harden rubber ).
One estimate speculated that devulcanization accounted for 30 percent of the
disappearing SBH. Wind, water runoff, oxygen, and microbial attack all act to help
degrade tread particulates, which degenerate faster than the tread rubber on tires in any
case.
In fact, nobody could get very excited about the possible environmental dangers of worn tire tread. If the tread particulate were light enough to remain airborne, it could cause some harm, but the 95 percent plus that settles into the ground near the roadway poses no health hazard. K. L. Campbell, of Firestone Tire & Rubber Company, points out that "Tire tread rubber is essentially an inert material so it doesn't contribute to acid rain or soil pollution." And because worn tire-tread particles on the ground are in too small a form even to see with the naked eye, we aren't even aware that they are there. Which proves again that what you can't see can't hurt you.
Submitted by Larry Orb in, of Florissant, Missouri.
Thanks also to: Brad Miles, of
Victoria, British Columbia; C. William Foster, Jr., of Tulsa, Oklahoma; and Art
Lombard, of Oakland, California.