Being able to take measurements using common items of instrumentation is an expected skill for A-Level Physics and can be tested in examinations using diagrams or photographs.

This post is the first in a short series that will look at measurement skills, starting with a piece of equipment that often causes difficulties; the micrometer. To be more exact, we are looking at the type of micrometer that is used to make external measurements between flat surfaces, or of wire diameters, up to a maximum thickness of 25 mm.

The traditional design, shown in the picture below, has a manual scale and a maximum resolution of 0.01 mm. Using the usual convention of taking half the interval range, this micrometer has an uncertainty of +/- 0.005 mm. (Digital micrometers are a bit different so they will be covered in a separate post.)

Analogue micrometer, sometimes known as an outside micrometer (as it is used for measuring external dimensions) or a C-type micrometer (on account of the shape of the measurement jaws).

To determine a measurement using an analogue micrometer it is necessary to read three separate scales and to sum their values to obtain the correct reading.

  1. Read the value on the linear numbered scale
  2. Read the value indicated by the dashes on the unnumbered scale
  3. Read the value on the rotating numbered scale

These three scales are identified in the photograph below, where the entire linear scale has been made visible for clarity – although this would never be the case when taking actual measurements.

To make a measurement, first read the value on the linear number scale, then the value on the linear dash scale and, finally, the value on the rotating number scale. These readings are then combined using the method explained in the text below.

To combine these values correctly it essential to understand what each scale indicates. We will cover the general method first then look at some examples.

1. The linear numbered scale measures whole millimetres. The right-most visible mark indicates the number of whole millimetres in the measurement so it gives the value that is to the left of the decimal point. Only every fifth mark is numbered so you must count up from the closest numbered value to determine the value corresponding to the mark that is closest to the rotating collar.

2. The linear dash scale indicates half-millimetres. It only comes into play when there is a visible dash that is closer to the rotating collar than the last whole-millimetre mark. A visible dash indicates that the measurement is in the second half-millimetre. For example, if the right-most whole millimetre mark is “5” and there is also a dash clearly visible then the measurement will be equal to or greater than 5.5 mm.

3. The rotating scale provides the detail for the half-millimetre range. It is marked from 0 to 49 and is read by taking the value that lines-up with the axis line separating the two linear scales. When there is no dash visible immediately to the right of the number mark, the rotating scale gives the figures that come after the decimal point. If there is a dash visible then the number on the rotating scale must be added to 50 to give the value after the decimal point. For example, if we have our 5.5 from the two linear scales and the rotating scale has 45 against the axis line then the value after the decimal point will be 50 + 45 = 95, giving a final measurement of 5.95 mm.

So much for the theory: let’s look at some examples.

Only the first marker, corresponding to 0 mm, is visible on the linear number scale and there are no visible marks on the dashed scale. The rotating number scale has 20 aligned against the axis line so the measurement is 0.20 mm.
The only visible marker on the linear number scale is zero, so the measurement has a zero to the left of the decimal point. There is a dash marker clearly visible between the number marker and the rotating scale so we know the measurement is greater than 0.5 mm. The rotating scale has 17 aligned against the axis line so we need to add 17 to 50, which represents half a millimetre, giving a final measurement of 0.67 mm.
The fourth mark after zero is visible on the number scale so our measurement has four to the left of the decimal point. There is a dash marker visible between the number marker and the rotating scale BUT it isn’t clearly visible, so we don’t count it. The rotating scale has 43 aligned against the axis line so our final measurement is 4.43 mm.

Note that if we had (wrongly) included the half-millimetre mark in the last example then our measurement would have been 4.93 mm. This is very nearly 5 mm – and that clearly doesn’t match with having the half-millimetre mark only JUST visible. You need to be very careful when dealing with the half-millimetre mark as it is easy to misinterpret the values.

To test your understanding, I have created two self-marking online tasks that are hosted at liveworksheets.com. The first task just involves reading displayed values, as explained above. The second worksheet requires you to take account of the micrometer’s zero reading before you determine the true measurement.

To enter an answer, just click on the box and type away. You can check your answers privately or you can submit your work to me (you will also get to see the results yourself immediately). When submitting work to me, use the code bs3L6RTopb instead of my usual email address.

To access the first worksheet, click here or enter the following address in your browser’s address field… https://www.liveworksheets.com/c?a=a&sr=n&l=kp&i=oznffcx&r=qm&f=dzdfzczn&ms=uz&cd=dlchjgleekmtvngnegkglxg&mw=hs

To access the second worksheet, click here or enter the following address in your browser’s address field… https://www.liveworksheets.com/c?a=a&sr=n&l=vt&i=oznfssu&r=oz&f=dzdfzczn&ms=uz&cd=dlyzjgleppxjgngnegkglxg&mw=hs

Don’t forget to use the code bs3L6RTopb if you choose to submit your work to me.

2 thoughts on “How to read a micrometer

Leave a comment