Eponymous Measurement Units and Planet George

— NASA

By The Metric Maven

The first planet discovered using a telescope was Uranus. There have been many sophomoric jokes made at the expense of this planet’s name—but I would never argue that its name be changed.  The name Uranus was not in fact, the original name proposed for this celestial body. Its discoverer, William Herschel (1738-1822), named it George. The official Latin euphemism for this title was Georgium Sidus, or George’s Star for King George III. This might strike a contemporary person as the scientific equivalent of A Boy Named Sue.  A planet named after a person?—that’s all messed up. The names had been chosen, up to that point, in a manner which eschewed modern, or even real persons, by using the names of classical gods. George is immediately seen as not comporting with this nomenclature.

What strikes me is that the metric system also began this way by using names which were as decanted from humans as possible. The meter, the liter, the gram, and such were all words designed to be as neutral as possible. This began to fork when derived units appeared. Both the cgs and mks systems began to use the names of famous scientists for the names of derived units, but not always. The cgs system used erg (which derives from a Greek word meaning “work”). I like the name erg, it is derived from a word descriptive of what it is trying to represent, while SI adopted the name joule after the English physicist James Prescott Joule (1818-1889) who did pioneering work on energy.

In my view, naming a measurement unit after a person opened a Pandora’s box, much like allowing a newly discovered planet to be named George would have been in astronomy. Eponymous measurement units interjected a potential political, nationalistic and geocentric aspect to the metric system which in my view has not served it well. Clearly, the choices could easily become (and in my view have been) scientific popularity contests, where the idea of measurement unit names, which compactly describe units, was abandoned. In its place was the idea of further “honoring” persons, who are already immortalized in the history of engineering and science, by using the names of measurement units. This choice would immediately lead to political pressure, which could indirectly lead to unit proliferation. After all, we would want to include everyone—right? It becomes Celsius vs Fahrenheit vs Kelvin and the question of who “objectively” did more to further that unit’s development (or should it be the first who did work on it?).  Is it Gauss (cgs) or Tesla (SI)? that contributed the most to (electro)magnetism—I will keep to myself which of these two clearly did more in my view. I will however comment that people who appear of paramount importance to their contemporary history, when judged years later are sometimes no longer seen as towering, or even very important, when closely examined in hindsight. It would be best not to create eponymous measurement units in the first place.

One person I have in mind which exemplifies this is William Henry Preece (1834-1913). Preece rose through the ranks of industry with very little education, and had almost no theoretical insight into the nature of electricity. He saw electricity as similar to water flowing through a pipe. He would never master AC circuit theory, let alone have any understanding of Maxwell’s equations. Even when it was clear that his view of electricity was wrong, he steadfastly refused to budge. He dismissed theory with disdain. He also had all the political connections to make him a formidable adversary—independent of his meager knowledge.[1]

Preece reviled Oliver Heaviside (1850-1925) who was an amazing autodidact. Heaviside would recast Maxwell’s equations into the vector form which is used by engineers and scientists to this day. Heaviside coined the terms inductance, and impedance, admittance and conductance, permeability and reluctance. These are all used in modern electrical engineering. He invented transmission line theory. Despite Heaviside’s towering contributions to electrical engineering, it was Preece who had a unit named for him. A preece is 1013 ohm-meters. I’ve never actually seen this unit used, but he managed to get one named for him non-the-less. It is a perfect example of why measurement units should not be named after people.

Another issue is that a choice of words with the least number of syllables would probably be of utility. Why is it ok to take the name Volta and reduce it to volt, but not take Ampere and change it to amp?  (A professor once chastised a student in a class for this by asking if he worked at a garage?—the unit is an ampere!). Why doesn’t George Westinghouse get his own electrical unit?—too many syllables?

Recently I viewed a clip from a British game show which asked a panel “what is the metric unit for weight.” There was much fumbling, and the presenter had to finally tell them it was a newton. Get it?—Isaac Newton is English—and the British contestants didn’t know the measurement unit for weight was named after the great English scientist. That a measurement unit is coupled with a nationality is almost anthropomorphizing it. Until 1948 temperature could be centigrade, after that it became the eponymous Celsius. In another essay I point out I would have it reintroduced as milligrade. Taking the name of a measurement unit, which has some manner of neutrality, and then re-naming it after Celsius is a disservice to metrology, engineering and science.

One metric measurement unit name that appears to suffer from its lack of a descriptive name is the pascal. When a person in the US hears PSI its immediately translated to pounds per square inch. Every American thinks they know what that means. The very name seems to explain itself. 1000 PSI—wow!—that’s a lot! One PSI—not so much. Because we have not embraced the metric system, and better educated ourselves, most Americans think a kilogram is a force, and a pound could be a mass.  So if you tell them something has a pressure of 6895 Pascals—wow!—that sounds big!—but it’s 1 PSI or 6.895 kilopascals. A US citizen would be confused as as to where the kilograms had gone and how they had become kilopascals. When I recently explained to a technician working on pressure lines, which he was connecting to a “foreign” machine, that a pascal is a newton per square meter—there was an immediate recognition on his face. Should the pascal ever have been defined? Perhaps it could have been left as newtons/square meter?—NSM?  In the cgs system there is the gal for a unit of acceleration, but in SI it’s meters/second squared. The gal is said to be short for galileo, but should it ever have been named and defined? People can envision what a meter per second per second might be, and hiding it inside of an eponym disperses clarity. In the case of a unit like a volt, its base units are: m2·kg·s-3·A-1 which I believe very, very few people can visualize, and a name of some type makes sense. It’s too bad it’s an eponym.

There are frivolous units like the barn, which should long ago have been abandoned, but like the continued use of cgs in the US, people who are used to our polytheistic units see no problem just adding more ways to redundantly describe the world. (FYI cgs and SI are incompatible systems)

In 19th century attacks on the metric system, one will often see the complaint that the units have too many syllables. Most of the examples are cherry-picked, but I believe it should have been a consideration in naming metric units. In cgs the force unit is a dyne (single syllable) and in SI it is a newton (two-syllables). The descriptions should be as simple as possible and no simpler. The names of measurement units should not be based on “honoring” already celebrated scientists, nor uncelebrated ones. The angstrom is a good example of an eponymous unit which only kludges up the metric system and makes it less straightforward. Thankfully nanometers are commonly used these days to describe wavelengths of light. But will those who are from Sweden feel slighted?—and continue to use it in a patriotic protest?  Nanometer tells you directly in words what the value of the unit magnitude is in relation to its base, the Angstrom does not. It should have never been coined for a scientific unit.

I expect the probability is small that the metric unit naming issues I’ve related will ever be addressed by international standards committees. In fact it is likely far, far more remote than that of the US becoming a metric nation like Australia. But that does not mean I will not write about it, and implore that this not be done in the future. Spacecraft will continue to be launched. Continue to use spacecraft names to honor scientists—not measurement units. The first rule of getting out of holes is that when you’re stuck in one, you should first stop digging. Add no more eponymous units.

[1] Oliver Heaviside: Sage in Solitude Paul J. Nahin, IEEE Press 1988


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.

One Hundred is Everywhere!

By The Metric Maven

On March 2nd, 1962 Wilt Chamberlain set the single game scoring record in the NBA. He scored 100 points. This record is an astonishing achievement. The game was not televised, there is no video of it, and only an audio recording of the final quarter exists. The photograph taken by a sports photographer is iconic and succinct. Wilt holds up a piece of paper upon which the photographer has written 100. The closest anyone has come to this record since, was when Kobe Bryant scored 81 on January 22, 2006. Some professions become obsessed by 100. This number is considered a milestone (yes The Metric Maven can use this as a metaphor) for some television programs. The program is then eligible for syndication. Frylock from Aqua Teen Hunger Force becomes obsessed by 100, in their one hundredth episode. This is the 100th essay published at The Metric Maven, and so 100 is the topic.

Why do I bring this up? Well I’ve become concerned that people might have the impression I don’t like 100 because I would vanquish centimeters (actually centi-anything). There are many cases where I encourage, in fact almost demand the use of 100. Much like the epiphany about eliminating centimeters, it took me a while to embrace 100, and understand its importance in other metric contexts. Let me begin at the beginning, which involves gas mileage.

I had stumbled across the fact that most Europeans do not compute their fuel efficiency in Liters/kilometer, but in Liters/100 kilometers. I could not see why on earth they would do this. What possible benefit could it have? On my last trip, my car got  32.87 miles to a US gallon, which is 7.16 Liters/100 kilometers. The formula is Liters/100 Km = 235.21/mpg. Here is a quick table:

MPG  L/100 Km

10     23.52
15     15.68
20     11.76
25      9.41
30      7.84
35      6.72
40      5.88
45      5.22
50      4.70

The liters per 100 Km values give a much better intuitive understanding of the actual fuel efficiency. Fearlessly using Naughtin’s Laws, let’s remake the table in terms of milliliters

MPG  mL/100 Km    Gasoline Volume Saved

10     23 520
15     15 680              7840 mL         (10-15)
20     11 760              3920 mL         (15-20)
25      9410                2350 mL         (20-25)
30      7840                1570 mL         (25-30)
35      6720                1120 mL         (30-35)
40      5880                  840 mL         (35-40)
45      5220                  660 mL         (40-45)
50      4700                  520 mL         (45-50)
100    2352                2348 mL         50-100 MPG is close to difference from 20-25 MPG

Rick’s 1968  Roadrunner 10 MPG  23.5 L/100 Km

What this shows us is that going from 45 MPG to 50 MPG saves 520 mL. Bottled water is generally sold in 500 mL bottles. What’s the difference when we go from 20 to 25 MPG?—2350 mL which is over two liters (i.e. a two liter bottle of soda). We can immediately envision the change in fuel economy, and it is large. Going from 10 to 15 MPG saves 7840 mL or almost four 2 liter bottles of soda. Going from 45 to 50 MPG saves only about two aluminum cans of soda. We can see that increasing fuel efficiency from 20-25 MPG (5 MPG increase) saves about the same volume of fuel as going from 50 MPG to 100 MPG (50 MPG increase).

My friend Rick owned a 1968  Plymouth Roadrunner in the 1970s. It was the era of Muscle Cars and Ed “Big Daddy” Roth. Rick’s car had nearly a 3/4 cam and was designed for high performance, but not fuel efficiency. It was the last of the cars from the era defined by the film American Graffitti, which was released in 1973, and proved to be a swan song. Rick’s Roadrunner averaged about 10 miles per gallon or 23.5 L/100 Km. My current car averages about 35 MPG or 6.7 L/100 Km. It takes 16.8 liters less than Rick’s old Roadrunner to traverse 100 Km. Rick’s old car may seem like an anachronistic gas guzzler, but should you happen to drive an M-1 Abrams tank, it has a fuel efficiency of 470 L/100 Km. Now that’s a gas guzzler.

My friend Kat on the other hand, is at the other end of the fuel efficiency spectrum She drives a  2010 Honda SH150i and has a calculated mileage of 114 MPG. Wow, that’s 2.1 liters per 100 kilometers.  While that’s serious fuel efficiency, Kat tells me the 2011 Genuine Scooter Company’s Stella scooter claims 140 MPG or 1.7 L/100 Km!

This is all very interesting, but it didn’t still didn’t make me a 100% 100 convert.

What caused the realization of how useful 100 could be was when I worked on controlling and quantifying my Calorie intake. (I will set aside why I’m not using kilojoules for the moment, with a promise to write about it in the future.) I had begun doing all my cooking with grams and mL. Years ago I had used a now out of print book called The All in One Calorie Counter. It had everything in it. When I looked on line I found an incredible website to help me, which is now gone.

The website allowed one to search for almost any type of food, and the output was in calories/gram and grams/100 calories. Like the fuel efficiency numbers, I could quickly understand how “calorie dense” different foods are at a glance with grams/100 calories. Because I had begun using a scale when I went to metric cooking, I could easily measure the mass of any food in grams. This in turn would allow me to compute the total calories very quickly. Here is a list of some common foods and their grams/ 100 calories.

Selected-Foods-Grams-per-100
(click to enlarge)

One can immediately see that bacon is very calorie dense with 19 grams per 100 Calories. The grams/100 Calories for meats increase up to 125 g/100 Calories for chicken. This table immediately shows one why so much chicken is consumed by people trying to reduce their calorie intake, and hamburger is not. It shows that if you’re given the choice between butter and sour cream on a potato, sour cream has far fewer calories for the same mass. Flour and sugar have equivalent energy densities.

When I would weigh out food, I could quickly halve or double the grams to obtain 50 calories or 200 calories of a food. I was very surprised at the convenience. Measuring the components out of which I make a sandwich, has given me a feeling for the amount of calories in different foods. I never had that intuition when using non-metric methods. The most important aspect for me is that because of US Government food labeling requirements, I can compute the grams/100 calories for any food I purchase. I just use this simple formula:

Formula to convert grams in a serving with known calories to g/100 C
Large Egg Food Label
(click to enlarge)

For instance suppose we use this label from eggs as an example. The egg has a mass of 50 grams (1 serving) and contains 70 Calories of energy. We compute 100*50/70 which gives us 71.4 grams/100 Calories. I would round this to 71 grams/100 Calories. We see immediately from our table that it’s similar to eating Ribeye Steak at 65 grams/100 Calories. It is about two times fewer calories than eating hamburger with the same mass.

This is when I was completely convinced of the utility of 100 in certain instances. You can imagine how hot under the collar I became when I found out that some groups want to take grams off of the nutritional labels on foods and change them to Ye Olde English!  This would screw me up seriously, and once again be a complete retreat from improving our quality of life in the US by adopting the metric system.

The use of 100 has provided options in my Engineering work that I did not previously have. When a radio wave (electromagnetic wave) travels in a coaxial cable transmission line, like the one attached to a television, it slowly loses energy.  One can measure how much energy enters this length of cable, and how much is remains at its end, divide the two values, and create a logarithmic loss “unit” called the decibel. When I measure the losses of electromagnetic waves through materials and transmission lines, it has been traditionally described in decibels/inch. Decibels per meter does not work well for high loss materials and and decibels per inch does not work well for low loss materials. It suddenly struck me one day that perhaps decibels per 100 mm was a good candidate. It was, it works, and I now use it exclusively.

In the 1970s, Australia, early in their metric switchover, pressed for a uniform price per kilogram for foods. Kevin Wilks in his book  Metrication in Australia states:

In hindsight, the decision to press for “per kilogram” only pricing was unfortunate. While pricing on a common unit basis facilitated price comparisons, it gave no guidance to the public on sub kilogram quantity selection…….

***

In Canada and Singapore, fractional pricing based on halves and quarters of the kilogram was forbidden, but prices per kg or per 100 g were permitted. This simple device ensured that in those countries sub unit quantities were obtained as multiples of one tenth of  a kilogram and successive halving was avoided……

For Australia to gain the fullest benefit of conversion to a decimal system of weights and measures, it was inevitable that authorities permitted and encouraged “per 100 g” pricing in addition to “per kg” pricing

I’m not as obsessed with 100 as Frylock, but I’ve realized it can give me a completely different way to look at important quantities. In the proper situation, 100 is the best way to go.


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.