Showing posts with label measurement. Show all posts
Showing posts with label measurement. Show all posts

February 5 - Measurements and Records Day

Posted on February 5, 2021

This is an update of my post published on February 5, 2010:


This is a fine day to think about all sorts of measurements and records. Don't get hung up thinking measurement is all about how many cups in a quart, or how many kilometers equals 10 miles...As for records, it's not just “longest river” and “tallest man.” Here are a few of the measurement- and record-related events that occurred today:

February 5, 1897 – Measurement of circles (almost) imperiled by lawmakers! The Indiana state house unanimously passed a law decreeing that the value of pi (the ratio of a circle's circumference to its diameter) is exactly 3.2. Since pi is actually an irrational number (a decimal that doesn't end or repeat) that starts with the digits 3.141592 but then goes on and on, the value mandated by this law wasn't even terribly close. And the fact that this law was passed in the 1800s isn't any kind of excuse; a much better estimate of the value of pi has been known since ancient times. The bill never became law, luckily, because a Purdue University professor happened to be in town and coached some Indiana senators about the math involved. The bill was postponed indefinitely in the senate. 

The entire idea of legislating scientific or mathematical truth is what was really out of whack here!

February 5, 1901 – Patent for an ellipse-shaped looping roller coaster (called “centrifugal railway”) awarded to Edwin Prescott. 


Called “Loop the Loop,” this roller coaster was not the first with vertical loop, but it was the first with the ellipse shape, and therefore it was more comfortable and safer to ride. (The first two coasters with vertical loops—of the circular variety—were shut down due to accidents and injuries.) We can count this as a great success in roller coaster history! 

Unfortunately, more people wanted to watch it than to ride it, so much so that a viewing area was built and people were charged admission just to watch. Even with the viewing fees, Loop the Loop didn't make enough money to keep running, and it went bankrupt around the time of World War I. 

That had to be a record for the most unsuccessful successful roller coaster!

February 5, 1915 – Richard Hofstadter born in New York City. Hofstadter went on to become a physicist; he won a Nobel prize for his work, which included “measuring” the sizes of the neutron and proton in the nuclei of atoms. Of course, these particles are really, really small.

Like REALLY small! Imagine taking one and a half yardsticks or meter sticks. Then cut the sticks into 1,000,000,000,000,000 pieces. That's one quadrillion (also known as one thousand million million) pieces. That's...well, pretty d
arned small!




February 5, 1934 – Hank Aaron was born in Mobile, Alabama. Aaron grew up to be one of the greatest baseball players of all time. He played from 1954 to 1976, and he held the Major League Baseball (MLB) record for most career home runs, with 755 homers, for 33 years. 

Even now that his record has been broken by Barry Bonds, I have noticed that Bonds' alleged steroid use has prevented him from being elected to the National Baseball Hall of Fame, and I assume has tainted the record at least for some. 

Aaron still holds other records because of his high-level consistency over the years: he shares the record of hitting 30 or more homers in a season, for 15 seasons; he is in a tie for most All-Star games with 24; he has the most career runs batted in (2,297); he has the most career extra base hits (1,477); and he has the most career total bases (6,856). He's near the top in lots more statistical categories: he's third in career hits (3,771); he's tied for fourth (with Babe Ruth) in with career runs (2,174); he's second in at-bats (12,364); he's third in games played (3,298). 

Pant, pant! There are an awful lot of numbers in baseball—and these don't even involve averaging!


Measuring Everything in the Universe

New Grounds has an interesting “interactive diagram” about the size of things. When you first enter, you can see the size of things at a human scale, such as an adult human (1.7) meters, giant earthworm (an amazing 7 meters!), and a large beach ball (1 meter). Slide the little slider button to the right, and you can see huger and huger objects, including planets, starts, and galaxies. Slide the button to the left, and you can see tinier and tinier objects—going down to atoms, protons, and even to the as-yet undetected “strings” that may make up quarks.




It's Rational to Like Irrational Numbers
There are some pretty fun books about numbers. Have you read Math Curse, by Jon Scieszka? How Much is a Million? by David M. Schwartz and Steven Kellogg?

For older readers, how about A Gebra Named Al, by Wendy Isdell? I haven't read it, but Sir Cumference and the Dragon of Pi, by Cindy Neuschwander, sounds really fun! (This author has a whole slew of math storybooks!)



Take a Virtual Roller Coaster Ride!
This one has no loops and is set to music. It's pretty extreme and made me feel like I was really moving for a second or two. This one has roller coaster sounds and crowd response as well as music! This video includes a loop!



December 23 – Metric Conversion Day in the U.S.A.

Posted on December 23, 2019


Did you know that, by law, the metric system is the preferred system of measurement in the United States? That's why all our forecasts are given in Celsius, our road signs in kilometers, and our grocery store scales in grams.

Oh - wait! - That's the rest of the world! None of that is true of the U.S.!

And yet...

In July of 1866, the Metric Act was passed in the U.S. Congress; it legally recognized the metric system in the nation.

In May of 1875, the U.S. was one of 17 nations that signed the Metric Convention.

In April of 1893, the Mendenhall Order was issued to declare the meter and the kilogram as the fundamental standards of length and mass measurement in the United States.

And on this date in 1975, the metric system was formally designated as the preferred standard of measurement in the nation.

We in the U.S. have two liter bottles of soda (liters are a metric unit); our rulers and yardsticks and tape measures have centimeters and meters as well as inches, feet, and yards; photographic equipment, cars, and medicines routinely use the metric system; Americans involved in science and industry almost always use the metric system to be consistent with the scientists and industries around the world. 



Actually, it's surprising that the United States is the ONLY developed nation that still doesn't use the metric system as its predominant system! Especially given the fact that the U.S. has been declaring the metric system as the bees' knees for more than 150 years.

But we are still mostly mired in the old-timey system with all of its complexity, unfriendly numbers, and even confusing doubling up of meanings for the measurement word "ounce."

Confusing?
 Yep! For example: The metric system has one unit for volume - the liter - and then all the same prefixes used with other units (such as centi- and kilo-). All conversions between units are in multiples of tens.


In contrast, the imperial system has LOTS of different volume units, and the numbers used in conversions are varied - except none are as easy to multiply as 10 or multiples of 10! Take a peek:
3 teaspoons = 1 Tablespoon
16 Tablespoons = 1 cup
8 ounces = 1 cup  

(not to be confused with 16 ounces = 1 pound!!)
2 cups = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon

Sadly, NASA lost a very expensive spacecraft because of the fact
that the U.S. still uses two systems of measurement. JPL (like all or
most science-based organizations) used the metric system, but the
company that built the spacecraft (Lockheed) used the imperial or
"English" system!

So the spacecraft was lost in translation.
Or maybe lost because of lack of translation!

 
I'm pretty sure Americans would find math and science easier if we converted whole-heartedly to the metric system, like the entire rest of the world and adults in many professions! It would save money, too, in the long run!


September 13 - 9x13 Day

Posted on September 13, 2019

Oooh, that letter "x"!

It's such a great letter in the middle or end of words - who doesn't like Fox in Socks or Max from Where the Wild Things Are? And taxis and boxes - although I'm not as fond of taxes and waxy build-up!



The letter "x" is more of a problem at the beginning of a word - except X-ray, which is super easy! 




Usually, "x" at the beginning of a word sounds like a "z." So...why don't we just use the letter "z"? (In case you're wondering the same thing, it all comes from Greek root words and the difficulty native English speakers have with pronouncing the initial [ks] sound.)

Moving on from phonics to math - hoo, boy, does "x" ever get a workout!!!??!

Is it the name of an axis?

A variable (something that stands for an unknown number)?


A sign for multiplication?

A way of saying "groups of"?


A way of saying "by" when talking about area or measurements?







That last one - finally! - is the way we use "x" in today's special day. "Nine-by-thirteen" or "9x13" Day is called that because a popular pan size is - for those who use inches rather than centimeters - nine inches wide and thirteen inches long. (Most of these pans are about 2 inches deep, but that's not mentioned in most recipes.)
If you Google 9x13, in addition to learning that 9 times 13 is 117, you will see a LOT of pans on offer - metal, glass, Nordic ware - cake pans, baking dishes - covered pans - pans for lasagna...Eventually you'll find recipes.

Of course, 9x13 Day HAS to be celebrated on 9/13 (September 13) - and how you celebrate it is by cooking, baking, and eating stuff in every 9x13 pan you own. I suggest a breakfast casserole with eggs, cheese, and a few veggies; a pan pizza followed by raspberry pretzel jello at lunchtime; cheese lasagna for dinner; and a yummy sheet cake for dessert.