A micrometer allows a measurement of the size of a body. It is one
of the most accurate mechanical devices in common use. This
document introduces this instrument.
If you are a student in the Physics laboratory at the University
of Toronto, the material discussed here is also covered in the
Commonly Used Instruments section of the First Year Laboratory
Manual.
Because of the mechanical advantage due to the fine pitch of the
screw threads that move the thimble and the right-hand measuring
rod, it is easy to use enough force in closing the rods on the
object being measured to deform either the rods or the object. In
the diagram you can see a Friction Screw, which applies "just
enough" torque to rotate the thimble in a gentle manner.
Some micrometers implement the friction mechanism as a
"barrel" attached to the thimble: it serves the same
purpose.
You should always use the Friction Screw or its equivalent to
close the rods on an object. Otherwise incorrect measurements will
result!
There is also a Locking Lever which fixes the position of the
thimble and right-hand measuring rod.
The diagram to the right is a close-up of the micrometer showing
the thimble. The thimble rotates around a cylinder which has
markings every one-half millimeter.
The left-hand side of the thimble has markings all around it. The
line labelled 0 is the primary pointer. When it lines up with the
central horizontal line on the cylinder, as shown, then the
distance between the measuring rods is exactly an integral or
half-integral number of millimeters.
In this case, then, the distance between the measuring rods is
7.000 mm. The upward line on the cylinder corresponding to 7 mm is
barely visible under the thimble.
If we rotate the thimble one complete revolution so it moves to
the right, it will look as shown.
Now the distance between the measuring rods is 7.500 mm. The
downward line on the cylinder corresponding to 7.5 mm is barely
visible.
Note that this is all consistent with the fact that the markings
on the cylinder correspond to fifty divisions for a complete
revolution. Thus the numbers on the thimble correspond to
hundredths of a millimeter.
One more complete revolution takes the distance to 8.000 mm, as
shown.
Now imagine we turn the thimble just a little bit more, and end up
with the situation shown.
We have increased the distance by 0.120 mm from 8.000, so the
distance between the measuring rods is now 8.120 mm.
If we give the thimble one complete further rotation, we end up
with the micrometer as shown to the right.
Now the distance is 0.120 mm greater than 8.500 mm, so the
distance is 8.620 mm.
Finally, if we turn the thimble a tiny bit further, it might end
up like the figure to the right.
Now the distance is greater than 8.620 mm, but clearly less than
8.630 mm. We might estimate this reading to be 8.624 mm.
Depending on your eyes and screen resolution, you might be fairly
confident that the reading is less than, say, 8.627 mm and
similarly confident that it is greater than 8.621 mm. Thus you
might assign a Reading Error to this measurement of 0.003 mm
So, we would report the distance as 8.624 ± 0.003 mm.
Depending on your eyes and the particular micrometer that you use,
assigning a Reading Error of ± 0.003 mm is probably reasonable.
This is 3 micro-meters!
There is an animation of reading the micrometer. You may access
the animation by clicking on the red button to the right. It will
appear in a separate window, and has a file size of 31k.
In the animation, as opposed to a real micrometer, we only do
readings of the distance to the nearest hundredth of a
millimeter.