Triple beam scale что это
beam scale
Смотреть что такое «beam scale» в других словарях:
beam scale — noun a portable balance consisting of a pivoted bar with arms of unequal length • Syn: ↑steelyard, ↑lever scale • Hypernyms: ↑balance … Useful english dictionary
scale beam — noun The beam of a balance • • • Main Entry: ↑scale … Useful english dictionary
Beam compass — A beam compass is a compass with a beam and sliding sockets or cursors for drawing and dividing circles larger than those made by a regular pair of compasses.[1] The instrument can be as a whole, or made on the spot with individual sockets… … Wikipedia
scale — I n. series of notes arranged in a certain sequence (mus.) 1) to play; sing a scale 2) a chromatic; diatonic; major; minor; natural scale system of classifying in a series of steps 3) a sliding; social scale 4) a pay, salary, wage; union scale… … Combinatory dictionary
scale — I (New American Roget s College Thesaurus) n. balance, steelyard; lamina, flake, scab, incrustation, horny plate, squama, lamella, eschar; degree, graduation, table, ratio, pro portion; gamut. See measurement, layer, covering, music, continuity,… … English dictionary for students
scale — Synonyms and related words: Danish balance, Indian file, Lambert conformal projection, Mercator projection, Miller projection, Roman balance, Weightometer, accommodation ladder, adjust, aeronautical chart, alloy balance, amount, amplitude,… … Moby Thesaurus
scale — I. noun Etymology: Middle English scole, scale bowl, scale of a balance, from Old Norse skāl; akin to Old Norse skel shell more at shell Date: 14th century 1. a. either pan or tray of a balance b. a beam that is supported freely in the center and … New Collegiate Dictionary
scale — 1. A standardized test for measuring psychological, personality, or behavioral characteristics. SEE ALSO: score, test. 2. SYN: squama. 3. A small thin plate of horny epithelium, resembling a fish s., cast off from the skin … Medical dictionary
scale house — noun : a shelter for the beam of an outdoor scale … Useful english dictionary
scale beam — n. lever of a balance to which the equilibrium for weighing is applied; device for weighing having a sliding weight (looks like a steelyard) … English contemporary dictionary
How to Use a Triple Beam Balance Scale
AARON KOPF
20 JUN 2018
CLASS
Most middle school students must learn to use a triple beam balance scale at some point during their science classes. Often used by physics or chemistry teachers to demonstrate the principle of mass, these devices can be used to weigh any object within their weight limitations. Triple beam balance scales function by balancing an object with three counterweights that are attached to the scale to accurately measure the object’s weight. Using one of these devices is not difficult but following these steps consistently will help to ensure accuracy.
Calibrate the scale by sliding all three weight poises (the metal brackets that slide along the three beams) to their leftmost positions. Twist the zeroing screw (usually located below the pan in which you place the object to be weighed) until the balance pointer lines up with the fixed zero mark.
Place the object to be weighed on the center of the pan. Make sure that the scale is not leaning on anything and that the entire object is on the pan.
Slide the 100-gram poise to the right right one notch at a time. When the indicator drops below the fixed mark, move the poise to the left one notch.
For instance, if your object weighs 487 grams, the 100-gram indicator would drop below the fixed mark on the fifth notch (500 grams). Move the poise back to the 400-gram notch.
Slide the 10-gram poise to the right one notch at a time. When the indicator drops below the fixed mark, move the poise to the left one notch.
In the case above, the 10-gram indicator would drop below the fixed mark on the ninth notch (90 grams). Move the poise back to the 80-gram notch.
Slide the 1-gram poise slowly across the third beam. There are no notches, so keep an eye on the pointer as you slide. Stop sliding when the pointer lines up with the fixed mark.
In the case above, the 1-gram poise will cause the pointer to line up with the fixed mark at 7 grams.
Add the values of all three beams to determine the mass of your object.
In the case of our example, add 400 + 80 + 7, resulting in an object mass of 487 grams.
Simplified triple beam scale
What could possibly be simpler than a triple beam scale?
(Ohaus Corp.)
A simplified triple beam scale, of course:
Just one identically spaced pair of notches on each beam, allowing 2 possible weight positions per beam for a total of 2 × 2 × 2 = 8 possible combinations between all three beams. (No gradually sliding weights. No attachment weights to hang onto the balance arm.)
The beams’ weights need not be positive integers. (A helium balloon, for instance, can be a handy negative weight.)
The beams’ weights form an arithmetic progression, where the middle weight is simply the average of the other two weights.
An additional 1-unit free weight is available for calibration but may also be added to the weighing pan during measurement.
(Notes: Two essentially equivalent solutions. No need to be able to measure 0 units of sample. The distance between each arm’s notches equals the pan’s lever arm, so the arms’ weights are as heavy as the amounts of sample they balance. What are called arms’ weights here are also known as poises and riders.)
1 Answer 1
Because the description is a bit messy, I’ll start with my interpretation:
Were it not for point 3, we would just use (doubled) binary numbers: to make the numbers 0-7 by combining 1, 2, and 4 is trivial, so if we make the beams add 2g, 4g, and 8g, we can make all even numbers between 0 and 14. We then use the «zero adjust knob» to skew this by 2 grams (so that the «all weights off» situation needs 2 grams to balance), and we can make all even numbers from 2 to 16. From there we get to the odd weights by adding the 1g extra weight to the pan when necessary.
But point 3 is, of course, what this puzzle is all about. 2g, 4g, and 8g are not allowed, because 4g is closer to 2g than 8g; it needs to be in the middle. How can we make that work?
The answer seems to lie in
That neatly spaces the weights on the beams:
To demonstrate that this works, let’s pick the option with only one helium balloon. (Balloons are nice, but I hate subtraction.)
First, let’s «zero adjust» so that «all beams off» needs 6g to balance. Then, we can measure like this:
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