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Metrologia - simuladores

Simulator: Reading and interpretation of a millimetric (centimeter’s tenth part of metrical sistem) vernier scale, practice with decimal precision (0.1mm)

scroll down and interact
with the simulator
Vernier scale (or nonius)

A Vernier is a technologic device that increases a rule’s sensibility by subdividing it’s smaller division. In this simulator, the vernier has ten spaces between the lines. It divides the millimeter by ten (a tenth of the millimeter), which is the smallest division of the main rule.

  • roll down the page to interact with the “Vernier scale Simulator
  • horizontally drag and release the inferior rule

Millimeter reading

Refer to the upper bar graduations, the main rule (1:100 meter scale – this means that the main rule’s numbers represent the centimeters). Each bar graduation is 1.00mm (1.00cm/10). Every tenth graduation is numbered in sequence – 1cm (10mm), 2cm (20mm), 3cm (30mm) etc. – over the full range of the bar. This provides for direct reading in millimeters.

Vernier scale

In this simulator, the vernier plate is the inferior rule, the one that glides under the main rule.

The vernier’s graduation (dash) that aligns with a main rule’s graduation will give the decimal measure, which must be summed up the main rule’s entire measure (all that intervals between the zero line on the rule and the zero line on the vernier plate)

Observe that when the vernier’s zero is not perfectly aligned with any of the main rule’s markings, we can’t be sure of its position e.g.: 2           †       3 – in this example, we can say that the value indicated by '' is bigger than two and smaller than three; the value itself can only be presumed: 2.4?, 2.5?, 2.6?, 2.7? -figure 1

One possible solution would be to divide the main rule’s divisions, creating more dashes and increasing the odds of the vernier’s zero aligning with one of this divisions.
(eg.: 2 ¡ ¡ ¡ ¡ ¡ † ¡ ¡ ¡ 3 = 2.6!). This solution, however, is restricted to the limitations of human vision, among other things. -figure 2

Technically, the vernier scale increments the sensibility of main rule by subdividing it’s division. -figure 3

Rule without nonius or vernier

figure 1

Rule without nonius or vernier and with excess of divisions

figure 2

Rule divided by a nonius or vernier scale

figure 3

Your monitor’s resolution may not allow a 100% correction.

Simulator: Reading and interpretation of a millimetric (centimeter’s tenth part)
vernier scale (or nonius), practice with decimal precision (0,1mm)

horizontally drag and release the rule below (vernier)

see also:


Tradução para o Inglês: Luíza Cabral

Eduardo J. Stefanelli
Eduardo J. Stefanelli - www.stefanelli.eng.br