Richard Feynman:
Master Teacher
(This 708th Buffalo Sunday News column was first published on October
24, 2004.)
In response to my recent column about Foucault's
pendulum a physicist friend pointed out that my explanation contained an error.
(To assuage my feelings, he added that my explanation was similar to that given
in most museums and that it required graduate work in physics to explain the
shortcoming.)
That
episode has led me to physics books to try to develop the background necessary
to understand not only the pendulum but also the spinning motions of tops and
gyroscopes. My exploration is leading me farther and farther back to the
elements of physics. Although my self-education is far from finished - and, in
fact, will never be in any sense complete - I am enjoying the research and will
share with you here a recent experience.
A
major resource I have been studying is "The Feynman Lectures on
Physics", which records the author's Caltech course given in the early
1960s. Richard Feynman was not only a world-class physicist who was awarded the
1965 Nobel Prize, but he was also a great entertainer and because of these two
qualities a superb lecturer. I never met him but I have watched films of his
teaching. He was a dead ringer for Art Carney in both appearance and actions.
Of course both are lost to us for Feynman died in 1988, Carney just last year.
I
offer here two examples of Feynman's skill as a teacher.
The
first is his tale about Isaac Newton's confirmation of the universality of
gravity. He tells us: "The problem [for Newton] was whether the pull of
the earth on its people was the 'same' as its pull on the moon. If an object on
the earth falls 16 feet in the first second after it is released, how far does
the moon fall in the same time? We might say that the moon does not fall at
all. But if there were no force on the moon, it would go off in a straight
line, whereas it goes in a circle instead, so it really falls in from where it
would have been if there were no force at all. We can calculate how far the
moon moves in its orbit in one second, and can then calculate how far it falls
in one second. This distance turns out to be 1/20 of an inch in a second."
Feynman then shows that calculations by Newton's inverse square law make this
measure fit just right with the 16 feet per second that things fall on the
earth. He then continues, "Wishing to put this theory of gravitation to a
test, Newton made his calculations very carefully and found a discrepancy so
large that he regarded his theory as contradicted by facts, and did not publish
his results. Six years later a new measurement showed that the astronomers had
been using an incorrect distance to the moon. When Newton heard of this, he
made the calculation again, with the corrected figures, and obtained beautiful
agreement."
The
second appears in his discussion of velocity: "In order to get to the
subtleties in a clearer fashion," Feynman says, "we remind you of a
joke which you surely must have heard. At the point where a lady in a car is
caught by a cop, the cop comes up to her and says, 'Lady, you were going 60 miles
an hour!' She says, 'That's impossible, sir, I was traveling only seven
minutes. It is ridiculous - how can I go 60 miles an hour when I wasn't going
an hour?' How would you answer her if you were the cop? Of course, if you were
really the cop, then no subtleties are involved; it is very simple: you say,
'Tell that to the judge!' But let us suppose that we do not have that escape
and we make a more honest, intellectual attack on the problem, and try to
explain to this lady what we mean by the idea that she was going 60 miles an
hour. Just what do we mean? We say, 'What we mean, lady, is this: if you kept
on going the same way as you are going now, in the next hour you would go 60
miles.' She could say, 'Well, my foot was off the accelerator and the car was
slowing down, so if I kept on going that way it would not go 60 miles.' The
lady can also argue this way: "If I kept on going the way I'm going for
one more hour, I would run into that wall at the end of the street!' It is not
so easy to say what we mean."
The
study of physics is a serious undertaking but Richard Feynman worked hard to
make its deep concepts entertaining. He was truly a master
teacher.-- Gerry Rising