Interviewer: Now comes the part of the interview where we ask a
question to test your creative thinking ability. Don't think too hard about
it, just apply everyday common sense, and describe your reasoning process.
Here's the question: Why are manhole covers round?
Feynman: They're not. Some manhole covers are square. It's true that
there are SOME round ones, but I've seen square ones, and rectangular ones.
Interviewer: But just considering the round ones, why are they round?
Feynman: If we are just considering the round ones, then they are round
by definition. That statement is a tautology.
Interviewer: I mean, why are there round ones at all? Is there some
particular value to having round ones?
Feynman: Yes. Round covers are used when the hole they are covering up
is also round. It's simplest to cover a round hole with a round cover.
Interviewer: Can you think of a property of round covers that gives
them an advantage over square ones?
Feynman: We have to look at what is under the cover to answer that
question. The hole below the cover is round because a cylinder is the
strongest shape against the compression of the earth around it. Also, the term
"manhole" implies a passage big enough for a man, and a human being
climbing down a ladder is roughly circular in cross-section. So a cylindrical
pipe is the natural shape for manholes. The covers are simply the shape needed
to cover up a cylinder.
Interviewer: Do you believe there is a safety issue? I mean, couldn't
square covers fall into the hole and hurt someone?
Feynman: Not likely. Square covers are sometimes used on prefabricated
vaults where the access passage is also square. The cover is larger than the
passage, and sits on a ledge that supports it along the entire perimeter. The
covers are usually made of solid metal and are very heavy. Let's assume a
two-foot square opening and a ledge width of 1-1/2 inches. In order to get it
to fall in, you would have to lift one side of the cover, then rotate it 30
degrees so that the cover would clear the ledge, and then tilt the cover up
nearly 45 degrees from horizontal before the center of gravity would shift
enough for it to fall in. Yes, it's possible, but very unlikely. The people
authorized to open manhole covers could easily be trained to do it safely.
Applying common engineering sense, the shape of a manhole cover is entirely
determined by the shape of the opening it is intended to cover.
Interviewer (troubled): Excuse me a moment; I have to discuss something
with my management team. (Leaves room.)
(Interviewer returns after 10 minutes)
Interviewer: We are going to recommend you for immediate hiring into
the marketing department.