Stone cut face of outdoor thermometer has...
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> 180=B0 rotational degrees for 130=B0F temperature change.
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> Bimetal thermometer element has...
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> 180=B0 rotational degrees for 90=B0F temperature change.
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> Bimetal ... outer diameter is 1-1/16"
So use the 1-1/16" rotating element to drive (friction, disk- inside-cup style) a pointer-coupled cup of diameter 1.535".