Friday, May 29, 2009

How much wood? Answering the old question

How much wood could a woodchuck chuck, if a woodchuck could chuck wood? Once the fast delivery of this tongue twister has been mastered, have you ever stopped and wondered what the answer to the question is? I hope to find an answer, or at least be able to give a ballpark estimate.
There’s a series of distinctions that need to be made before finding an answer, and here is the order:
1) The definition of “chuck.” Determining what the woodchuck is supposed to be doing is key.
2) “IF.” The word “if” implies that a woodchuck cannot “chuck” so the next step is to decide what must happen in order for the woodchuck to be able to “chuck.”
3) Now that we’ve figured out that “A woodchuck can chuck wood,” we need to decide how effectively it can do so, therefore determining how much. After completing this step, we will hopefully have an estimated answer.

Step 1:

I find it impossible to determine which definition of “chuck” is intended; at least not certainly enough that the margin of error would not throw the accuracy of the answer so far off that it would be rendered irrelevant. So the best option is to get three different answers from the three most likely definitions: a) “to throw or toss,” b) “a device used for holding drill bits,” and c) “food, provisions.” Having chosen three definitions, we proceed to step 2.

Step 2: Let’s define “a piece of wood” as the triangular cut of wood that is typically used for camp fires: about a foot long, and 4-6 inches in diameter.

2a) “To throw or toss.” Now “IF” must be determined. Can a woodchuck throw wood? Woodchucks are solid, tough creatures, but they have short limbs. So while they have the strength required, they lack the proper build. I’m no woodchuck expert, but given their body shape, and most likely lower coordination, throwing firewood is something a woodchuck could do marginally at best. So it needs to be clever. Since all the lists of smartest animals were completely void of woodchucks, I’ll rule out it being able to create any kind of device such as a catapult. Instead, in order to chuck, a woodchuck needs a perch, say, a 20 foot cliff. A woodchuck would be able to apply enough horizontal force on a piece of wood to toss it off a small cliff. Therefore, the woodchuck would be able to chuck.

2b) “A device used for holding drill bits.” This one presents a grammatical problem, as this definition of “chuck” is a noun, and the tongue twister uses “chuck” as a verb. However, given the context, I think we can concede that placing a piece of wood into the chuck could be called “chucking the wood.” It may not be the easiest task for a woodchuck to complete, but I have no doubt it would be capable.

2c) “Food, provisions.” I find this definition to be the least likely due to its specifications. We all know that the only way a woodchuck could chew up wood (food) and use it as its dwelling (provisions) is if there was some beaver in its pedigree. Since woodchuck-beaver cross breeds are few and far between, one has to question whether this was the definition intended by whoever penned the phrase, but the author of a tongue twister is going for functionality, not accuracy, so this possibility cannot be discarded. So what must happen in order for a woodchuck to “chuck?” It must be part beaver.

Step 3: Having previously set “pieces of wood” as a camp fire log, let’s set “chucking effectiveness” at a rate of how many pieces of wood the woodchuck can chuck in an hour.

3a) “How effectively can a woodchuck toss wood?” The act of the woodchuck chucking the wood off of the small cliff will take little time, maybe ten seconds max. This would mean that a woodchuck can chuck wood at a rate of 360 pph (pieces per hour). However, in all likely hood, the wood isn’t already at the top of the cliff, so the woodchuck will have to drag the small log all the way to the top. No easy task, but since we’ve already established woodchucks as strong, sturdy creatures, I’ll estimate that it will take about 8 minutes to drag one log up the hill and throw it off the cliff. So the final answer is: 7.5 pph.

3b) “How effectively can a woodchuck put wood in a chuck?” Since chucking wood in this way takes a bit more coordination, I would guess that it would take a woodchuck about 20 seconds to chuck one piece of wood. But here we run into even more problems. The decided size of the log won’t fit into many chucks if any. It will need cut into let’s say six pieces in order to be able to be chucked. So first, the woodchuck will have to drag the wood to the nearest beaver (unless it is part beaver itself, but not likely). This could be a long way away, or quite close. We’ll say it will take about 20 minutes for the woodchuck to take a piece of wood to the beaver. The beaver will need about three minutes to finish servicing the log, then the woodchuck will have to drag six small pieces of wood back to the chuck. Since the log is now in pieces, it will be more difficult, and will probably take about 30 minutes. After all of this, it will have to chuck each piece of wood, which at 20 seconds per piece will take two more minutes. So the total time is 55 minutes. In this case, a woodchuck can chuck wood at a rate of 1.09 pph.

3c) “How effectively can a woodchuck use wood for food or provision?” Chucking wood is what beavers do best, whether it’s building a house, or chomping down on a tree, but the question is how well a beaver-woodchuck cross breed can chuck wood. Looking specifically at using wood to build a house, a beaver is quite proficient, I would guess it could use a log every minute and a half (giving it time to push the wood from shore, to the dam, put it in place, and swim back to shore for the next one.) Since this prototype cross breed is half beaver, half woodchuck, we’ll say it has only half the effectiveness, therefore taking three minutes per log. Do the easy math: 20 pph.

So how much wood could a woodchuck chuck, if a woodchuck could chuck wood? If you can figure out how long the woodchuck is chucking wood, you can now find three answers.

3 comments:

  1. Yes, I've always found this to be a predictament. However, I have several small problems:

    1) "Provision" means food supply rather than dwelling, so the question is really about eating the wood, which I don't think either woodchucks or beavers do.

    2) what about other definitions of chuck? For example, it is also a cut of meat. And what about the nickname for Charles? More nouns I know, and I understand the grammatical errors, but really...

    3) chuck meaning to throw, is more loosely translated to throw out, as in throw away. From this I would suppose that the wood is coming from the woodchucks dwelling and the woodchuck is tossing the wood over the cliff in the effort to remove its presence. While this may not affect the end pph, I think it is notable, especially when determining how far the woodchuck must drag the wood before chucking it.

    Joshua

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  2. 1)Shhh..I was hoping no one would notice the slight stretch of meaning provision as shelter...

    2)How much wood could a woodchuck Brian? or Tim? The name thing is little too nonsensical for such a nonsensical piece :). Can't really think of a way a woodchuck could turn wood into meat either...so here it seems author's inability chose the definitions...

    3)I think I personally use "chuck" as anything throwing whether it's getting rid of something or not...but good point. I suppose the question here is, does the beaver live above the cliff? If not, I don't think it will have any effect on the situation.

    By the way, thanks for commenting, it's nice to know someone's enjoying this :)

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  3. I realize that I'm a little behind but this is probably the most 'scientifically' sound explanation for this riddle I've heard. Next, if you could address, "How much sump could a sump pump pump if a sump pump could pump sump?"

    Thanks again.

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