Re: Thermometer - Today's Math Challenge

Apr 05, 2009 10 Replies

Jim Thompson wrote in news: snipped-for-privacy@4ax.com:


Stone cut face of outdoor thermometer has...
>
>180° rotational degrees for 130°F temperature change.
>
>Bimetal thermometer element has...
>
>180° rotational degrees for 90°F temperature change.
>
>Bimetal is 9-1/4 turns (labeled Truflex P675RTM2), inner diameter is
>1/4", outer diameter is 1-1/16"
>
>How many (partial) turns to remove from outer bimetal to match
>physical requirement with bimetal movement ?:-)
>
> ...Jim Thompson

remove 2.846 turns. (?)

Please show calculation method. It's a spiral. My take is the spiral should be 30.7% less LENGTH, not turns.

Anyone remember how to calculate spiral LENGTH ?:-)

...Jim Thompson

| James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC\'s and Discrete Systems | manus | | Phoenix, Arizona 85048 Skype: Contacts Only | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | I love to cook with wine Sometimes I even put it in the food

Working ...

reduce sensitivity from 180 degrees per 90 degrees F to 180 degrees per 130 degrees F

ie multiply sensitivity by 9/13 therefore remove (1 -9/13) * 9.25 turns ie remove (4/13) * (37/4) turns ie remove 37/4 turns = 2.846 turns

If the scale is linear (equal angular change per degree temperature change) then this would work.

Analogy might be a spiral tube with compressed air following Hooks law.

Not convinced that you are right. I would say that there is a greater angular deviation for the inner turns.

then this would work.

deviation for the inner turns.

Which is why simple math calculations will not work. Nipping it back until the desired result is found is the best way to get there, AND have it be calibrated for the range ends when you are done.

then this would work.

deviation for the inner turns.

1'st the question is interesting in its own right. (But your solution isn't I feel) 2'nd I doubt it would be convenient to repeatedly snip and calibrate (130 degrees temperature swing ?)

Practically, one makes a calculation, then makes a mark on the bimetalic strip, then calibrates - and if it is ok snips ONCE.

I think that your aesthetic sense is challenged.

feel)

degrees temperature swing ?)

The ONLY way to make the thermometer reliably and reasonably 'correct' is full swing calibration cycles. Sorry. Only in mass production can one zero in on a reasonably close nip point to make a repeatable mass producible product that does not require a full swing calibration. They still get tested and certified functional in one though.

Based on questionable field measurements? I don't think so.

snips ONCE.

This prior calibration step method interests me. I know of a couple of ways, but all would be subsequently tested AGAIN after any cut is made, so you are not saving anything. The time the extra cut cycle or two takes is unimportant when accuracy is the goal. The true calibration is the placement of the indicator.

I think your common sense doesn't exist.

I worked in thermometry... you?

s ok snips ONCE.

e of

rectal no doubt ?

snips ONCE.

No. If one wants a fully corrected, calibrated-across-its-range scale, it would be the last job on the list to be done. The simple beginning and end point method I gave by nipping back incrementally will get you there quicker.

The beginning of range and end of range has already been specified at

180 degrees. That is radial degrees, not temperature. The beginning of range and end of range for the temperatures read was not given, but the span of change for a 180 radial degree movement was.

snips ONCE.

Not quite. Jim needs to modify the degrees rotation per degrees temperature multiplier adjusted first. After that, setting the indicator to the correct position for a single temp is trivially easy.

Paul Hovnanian mailto:Paul@Hovnanian.com ------------------------------------------------------------------ The large print giveth and the small print taketh away. -- Tom Waits

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