Imagining The Metric System

Mr-Shortcut
Mr Shortcut measuring a board

By The Metric Maven

Bulldog Edition

It has been brought to my attention that the Discovery Channel has a show called Gimme Shelter. It has a person called Mr Short Cut who apparently offers viewers advice on short cut methods for DIY work. In a video: “Mr Short Cut demonstrates the advantages of using the metric system for easy measurements.” Here is what he has to say:

Narrator: Here’s a man who gets eight hours of sleep in five hours. Mr Shortcut.

Mr Shortcut: Hey you remember a few years ago when the big craze the big push was to make everything go metric? Well I gotta tell ya when it comes to carpentry I think they might have been on the right track. Let me show you what I mean. I mean if you have to measure and add some distances with boards for example, just something simple I’ll show ya [Mr Shortcut holds a board and tape measure, he then starts to measure] here’s inches, seven and three-sixteenths and let’s add another distance here. How about eighteen and and an eighth. Ok, so you got your sixteenths you got your eighths you gotta change the denominator leave the numerator add two divide by six carry the one thirty days have September, tipi canoe and Tyler too—and I can’t do it—alright without an abacus and three calculators.

Well, here’s the way to do it, metric—because look here, the tapes you can buy now, come with inches on one side if you gotta do it the old way and centimeters—metric on the other side. So all you have to is put it in like this and you get your nineteen centimeters added to forty six centimeters—that’s easy sixty-five. You can do the math. Metric is cool.

My reaction to this was much like the aftermath I experience following the viewing of an Ed Wood movie—vertigo. Beyond the fact that I don’t recall any big push “a few years ago” for metric, what are the odds that one would always hit integer values when using centimeters for woodworking? I suspect it would be approximately zero. The size of the measured board example appears contrived, and unrealistic. The “metric” example offered by “Mr. Shortcut” has the appearance of how an American, who has never actually used or experienced the metric system, imagines how the metric system might work. Mr. Shortcut (MS), like many U.S. “metric promoters” has not bothered to research the subject.

Mr Shortcut proudly shows that one can purchase a tape measure with both inches and centimeters (aka pseudo-inches). Independent of anything, dual scale instruments are evil. They simply allow the person using them to ignore the metric scale, use the familiar side, and continue to hinder metric adoption. This point is enshrined as Naughtin’s First Law.

When a person actually attempts to use centimeters in construction, they will quickly discover the need to use decimals. This often leads the average US citizen to believe that metric is not necessary and only the introduction of tape measures with decimal inches on them is. The use of decimal centimeters is awkward and leads to unnecessary numerical complication, which in turn leads to errors and scrap. This problem is well-known to the Australian and UK construction industries, and Bangladesh, Cameroon, India, Kenya, Mauritius, Pakistan, South Africa, New Zealand and Zimbabwe, but alas, in the US, we, and Mr Shortcut, are ignorant of their practices and our own U.S. metric construction code. The solution is, of course, to use only millimeters so the numbers measured are all whole numbers and eliminate the decimal point entirely. Decimals are great, they are the next best thing to whole numbers, but one should prefer expressions without decimals if possible. This is Naughtin’s Second Law: Prefer Measures Without Decimals.

Am I being a bit too hard on a person who is trying to promote the metric system? Possibly. His heart is in the right place, just not his tape measure. I spoke with my resident woodworking expert, Pierre, to get his view about the importance of measurement. He reminded me that a number of woodworkers completely eschew measurement of any type and build proportionally by eye. In Pierre’s words:

As we’ve discussed, plenty of woodworkers try not to use any measurement at all if they can help it. They know they can’t read a tape measure, that no two tape measures are identical, and they don’t want to do math, ever. But there’s probably a process here. First I convince them that math can be helpful, then you can show them that math can be easy.

I’m probably not qualified to convince any woodworker to use measures, so I’ll let Pierre work on that. But if they should happen to decide that measurement is useful, I can attempt to guide them away from centimeters and toward millimeters, which will make the math easy. That I do know.

Custom-cabinetry-design.com is a company with a name that describes what it does. They would very much like people to use millimeters and have a page which explains how easy it is. They state:

We know change can be difficult. But, we are confident that if you can count money, then the conversion to the metric system will not only save you time and frustration, it will eliminate costly and time consuming mistakes. Imagine no more fraction math, only dealing with whole numbers and half numbers is much easier than working in fractions.

The assumed unit of measure is the millimeter. They even offer a nice side by side example of how easy using millimeters is compared with inch-fraction descriptions:

Metric-Cabinets
— click to enlarge

It appears to me that there are those who have actually used metric to construct physical items, and those, such as Mr. Shortcut, who imagine what it might be like to use the metric system to build something. It is quite possible to build with centimeters, and carry along decimals. The path of least intellectual resistance for Americans is to use centimeters as a decimalized pseudo-inch. Or, one can use millimeters, measure with a ubiquitous centimeter rule, and constantly move a decimal point in one’s head as I did to obtain millimeters. I engaged in this unnecessary arithmetic complication until enlightened Australians guffawed at my ignorance and sent me millimeter only rulers and tape measures. This bad practice is encouraged because of the ubiquity of centimeter marked rulers and tape measures in the US and the minimal availability of metric only millimeter only scales here. The invisible metric embargo makes it very difficult to find a millimeter only tape measure in the U.S..  The only known product available is for carpenters, and called the True 32 tape measure. It has a length of 5 meters, and is marked in millimeters. Obtain one and use it. After you have, I suspect you would no more go back to decimal centimeters than you would contemplate using Roman numerals.

Don’t imagine the metric system—use it!

Related essay:

Building a Metric Shed


If you liked this essay and wish to support the work of The Metric Maven, please visit his Patreon Page and contribute. Also purchase his books about the metric system:

The first book is titled: Our Crumbling Invisible Infrastructure. It is a succinct set of essays  that explain why the absence of the metric system in the US is detrimental to our personal heath and our economy. These essays are separately available for free on my website,  but the book has them all in one place in print. The book may be purchased from Amazon here.


The second book is titled The Dimensions of the Cosmos. It takes the metric prefixes from yotta to Yocto and uses each metric prefix to describe a metric world. The book has a considerable number of color images to compliment the prose. It has been receiving good reviews. I think would be a great reference for US science teachers. It has a considerable number of scientific factoids and anecdotes that I believe would be of considerable educational use. It is available from Amazon here.


The third book is called Death By A Thousand Cuts, A Secret History of the Metric System in The United States. This monograph explains how we have been unable to legally deal with weights and measures in the United States from George Washington, to our current day. This book is also available on Amazon here.

Wishing Upon a Star

Alpha-Centauri-Wikimedia-Commons
Alpha Centauri (Wikimedia Commons)

By The Metric Maven

Bulldog Edition

A wish can be a supernatural request which is granted by a supernatural talisman. The song, When You Wish Upon a Star, when modulated onto an electromagnetic (radio/light) wave, that is traveling in a vacuum, moves at 300 Megameters per second. This is only true if the light is traveling in a vacuum (we’ll get back to that), and space is a pretty good vacuum. Einstein was rather clear about the fact that information cannot be propagated faster than the speed of light. This means that any receiving star (other than the Sun) would have to wait years to know that a wish was requested of it.

The Alpha Centauri star system is the closest and it would take light a little over four years for a supernatural request to arrive, so your wish would be delayed by at least that amount of time. Alpha Centauri is also only seen in the U.S. for very short periods of time, and only at latitudes which are south of Houston Texas and is practically invisible. Assuming Alpha Centauri is the ineffective talisman that I expect it is, one would have to wait about eight-years for a non-reply. If you wish on a star that takes light over 75 years or so to arrive, well, then you will not be alive to receive the non-reply. Unless you plan to live to 150 years of age. The odds of that happening are not good.

Astronomers like to conflate time and distance into a strange and exotic sounding description called a light-year. Each of the multitude of stars we view at night has light that emanated at a different time, and so when a star is farther and farther away in distance, we witness how it looked longer and longer ago. Every star has a unique time delay associated with it. The further we look out into the Universe, the farther back in time we see.

When you look at any object or person, you do not see them instantaneously. If a person is 500 mm from you, the light you see has taken about 1.67 nanoseconds to impact your retina. The person is therefore 1.67 light-nanoseconds away from you. If you see an erupting volcano that is 1000 meters distant, the image seen by your eyes has a “distance” of 3.33 light-microseconds. Standing in Denver Colorado, Pike’s Peak (which is visible from Denver), is about 160 Km distant or 533 light-microseconds. Which has more meaning in terms of distance?—160 Kilometers or 533 light-microseconds? This is not really fair one might argue. As far as a person is concerned, this amount of time is instantaneous, and so it makes perfect sense to use distance and forget about the propagation speed of light.

When does a product of the speed of light and time begin to be a distance that makes some sense? There are a lot of choices:

Light-Second 300 Mm (Megameters)

Light-minute 18 Gm (Gigameters)

Light-hour 1.08 Tm (Terameters)

Light-day 25.92 Tm (Terameters)

Light-week 181.44 Tm (Terameters)

Light-month 725.76 Tm (Terameters)

Light-year 9.46 Pm (Petameters)

Light-Century 946 Pm (Petameters)

When the New Horizons probe was near Pluto, it took about four hours for the radio signal to propagate from the Earth to the spacecraft. It was not typically said that the probe was 4 light-hours from the Earth. Why not use light-hours if the conflation of light-speed and distance is so useful? A light second is a 3000 hour long (100 Km/hr) drive, or 3000 car-hours. It is also 7.5 times around the Earth. A light-minute is not enough distance to traverse from one planet to the next in our solar system. The light hour is  a distance from the  Sun to a point between Jupiter and Saturn. The light-day, light week and light month are all well short of our nearest star system, Alpha Centauri. A light century (which no one generally uses) is 100 light years. Betelgeuse is over six times this far, and it can be called a nearby star. The length across the Milky Way galaxy is about 100 000 to 180 000 light-years. Our closest galaxy is Andromeda and it is 2 500 000 light-years distant. The observable universe is about 91 000 000 000 light-years. It is hard to see that this single “unit,” the light-year, is really descriptive over the large dynamic range of the Universe. Enormous numbers cannot be visualized, but they can be categorized, which gives them more intrinsic relative meaning. The metric system is quite useful for accomplishing exactly that.

Furthermore, the light-year has a built-in assumption about what year is used. According to Wikipedia: “As defined by the International Astronomical Union (IAU), a light-year is the distance that light travels in vacuum in one Julian year.” My favorite engineering reference for unit definition has this entry:

Buzzed-Light-Year

The options given for a light year length are:

Anomalistic Light Year: 9.460 980 Petameters

Julian Light Year: 9.460 730 Petameters

Siderial Light Year: 9.460 895 Petameters

Tropical Light Year: 9.460 528 Petameters

There are two questions that in my view are rather separate: 1) How far away is an object based on a linear measurement? 2) How long does it take an electromagnetic wave to get from there to here (or vice-versa)? Astronomers might argue that the light-year is really the best description in their view, but when one looks at a star there is no way to really grasp the amount of time or distance. They all look very similar. The first question one probably wants to know is: “how far is that star?” rather than “how long does an electromagnetic wave take to arrive?”

Shimmer

There is another apparent problem. Suppose I were to ask: what is the radius of the Sun? One might immediately say it is 696 000 Kilometers, but I could also argue that it’s about 100 000 light-years, or 1000 light-centuries in extent! Light does not always travel at 300 000 meters/second, it can travel slower than this value when a dielectric medium is present, such as plastic, glass or gas. It takes a photon about 100 000 years to make its way from the Sun’s center to its surface. The photon also loses energy (changes frequency) as it works its way through stellar plasma, but light is a general term for an electromagnetic wave, and its frequency is not specified by astronomers. They just say “light,” so if a photon is just one millimeter inside of the event horizon of a black hole, would its distance to any other body in the universe, in light years, be infinite?—or even possess an imaginary distance?  Is this a legitimate use of a light-year as a “measurement unit?” Well, no, it is not. Astronomers define a light-year in a vacuum, but Wikipedia also calls it an informal unit and claims it is a length, and should not be confused with time—even though time is in the name of the “unit.” The light-year reminds me of Saturday Night Live’s Shimmer Floor Wax, it’s both a floor wax and a dessert topping. Some astronomers have been less than enthusiastic about the light-year as a “unit.” According to Wikipedia:

The light-year unit appeared, however, in 1851 in a German popular astronomical article by Otto Ule.[18] The paradox of a distance unit name ending on year was explained by Ule by comparing it to a hiking road hour (Wegstunde). A contemporary German popular astronomical book also noticed that light-year is an odd name.[19] In 1868 an English journal labelled the light-year as a unit used by the Germans.[20] Eddington called the light-year an inconvenient and irrelevant unit, which had sometimes crept from popular use into technical investigations.[21]

Astronomers define a light year as the distance light travels in a year in a vacuum; but there is another unit which is defined as the distance light travels in a given amount of time in a vacuum. It is the meter, and it’s the base linear measurement value of the metric system. The meter does not have any unit of time in its name, and so it would alleviate the time confusion immediately. Astronomers who might not be familiar with this unit can convert it to 3.33564 light-nanoseconds for clarity. The metric system also has a unique unit of time, the second. One can use metric prefixes with it to describe intervals of time. It’s about time, it’s about space, but only one at a time, unless it’s a relative place.

Postscript: And Then There Were Two? I have been informed that Myanmar has quietly continued to pursue metrication:


If you liked this essay and wish to support the work of The Metric Maven, please visit his Patreon Page and contribute. Also purchase his books about the metric system:

The first book is titled: Our Crumbling Invisible Infrastructure. It is a succinct set of essays  that explain why the absence of the metric system in the US is detrimental to our personal heath and our economy. These essays are separately available for free on my website,  but the book has them all in one place in print. The book may be purchased from Amazon here.


The second book is titled The Dimensions of the Cosmos. It takes the metric prefixes from yotta to Yocto and uses each metric prefix to describe a metric world. The book has a considerable number of color images to compliment the prose. It has been receiving good reviews. I think would be a great reference for US science teachers. It has a considerable number of scientific factoids and anecdotes that I believe would be of considerable educational use. It is available from Amazon here.


The third book is called Death By A Thousand Cuts, A Secret History of the Metric System in The United States. This monograph explains how we have been unable to legally deal with weights and measures in the United States from George Washington, to our current day. This book is also available on Amazon here.