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Physics
Reading Vernier Scales
MS&T Physics 1135 and 2135 Labs
Physics
Vernier Scales: Background
 Invented in 1631 by Pierre Vernier, Vernier scales allow very accurate
measurement of lengths and angles through the use of two scales.
 One scale (the primary or data scale) provides the base measurement, with
the other (the secondary, indicating, or Vernier scale) increasing precision.
 The reading on the Vernier scale is added to the reading on the primary scale
to increase the precision. A typical Vernier adds one or two significant figures
to a given measurement.
 In Physics 1135 and 2135 labs, we use three main devices with Vernier scales:
calipers, torsion lathes, and spectrometers. Each is covered in turn in the
following slides.
MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 2/6
Physics
Measurement Basics: the Meterstick
 A typical meterstick with divisions
spaced 1 mm apart is accurate give
or take a millimeter. In this
example, x = 33 ± 1 mm
 To increase precision, we could add
more lines, which would be very
difficult to read.
 Next, we’ll measure the same object
with calipers to see how Vernier
scales circumvent this obstacle.
MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 3/6
Physics
Vernier Calipers
 The base measurement is given by
the primary marking just left of the
zero on the Vernier (green arrow):
3.3 cm, or 33 mm
 Next, find the Vernier marking that
best aligns with a primary marking
(red arrow): the 9th division.
 Our measurement is 33 + 9*0.02 mm,
or 33.18 mm
 This is accurate give or take one
division: x = 33.18 ± 0.02 mm
MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 4/6
Physics
Vernier Scale on a Torsion Lathe
 Our torsion lathes use a Vernier to
measure angles.
 The outer rim is marked in degrees,
and there are ten divisions on the
Vernier.
 Thus, this device is accurate to
±0.1°
 The reading shown is 9.2 ± 0.1°
MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 5/6
Physics
Vernier Scale on a Spectrometer
 Our spectrometers also use a Vernier
to measure angles.
 The outer ring is marked in half-
degrees, and there are 30 divisions
on the Vernier. This divides 1° into
60 increments, so this device is
accurate to ±(1/60)°, or ±1 minute
of arc.
 The reading shown is 245.5 + 12/60°
or 245.7°
MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 6/6

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Common_Verniers.pptx

  • 1. Physics Reading Vernier Scales MS&T Physics 1135 and 2135 Labs
  • 2. Physics Vernier Scales: Background  Invented in 1631 by Pierre Vernier, Vernier scales allow very accurate measurement of lengths and angles through the use of two scales.  One scale (the primary or data scale) provides the base measurement, with the other (the secondary, indicating, or Vernier scale) increasing precision.  The reading on the Vernier scale is added to the reading on the primary scale to increase the precision. A typical Vernier adds one or two significant figures to a given measurement.  In Physics 1135 and 2135 labs, we use three main devices with Vernier scales: calipers, torsion lathes, and spectrometers. Each is covered in turn in the following slides. MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 2/6
  • 3. Physics Measurement Basics: the Meterstick  A typical meterstick with divisions spaced 1 mm apart is accurate give or take a millimeter. In this example, x = 33 ± 1 mm  To increase precision, we could add more lines, which would be very difficult to read.  Next, we’ll measure the same object with calipers to see how Vernier scales circumvent this obstacle. MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 3/6
  • 4. Physics Vernier Calipers  The base measurement is given by the primary marking just left of the zero on the Vernier (green arrow): 3.3 cm, or 33 mm  Next, find the Vernier marking that best aligns with a primary marking (red arrow): the 9th division.  Our measurement is 33 + 9*0.02 mm, or 33.18 mm  This is accurate give or take one division: x = 33.18 ± 0.02 mm MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 4/6
  • 5. Physics Vernier Scale on a Torsion Lathe  Our torsion lathes use a Vernier to measure angles.  The outer rim is marked in degrees, and there are ten divisions on the Vernier.  Thus, this device is accurate to ±0.1°  The reading shown is 9.2 ± 0.1° MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 5/6
  • 6. Physics Vernier Scale on a Spectrometer  Our spectrometers also use a Vernier to measure angles.  The outer ring is marked in half- degrees, and there are 30 divisions on the Vernier. This divides 1° into 60 increments, so this device is accurate to ±(1/60)°, or ±1 minute of arc.  The reading shown is 245.5 + 12/60° or 245.7° MS&T Physics 1135 and 2135 Labs: Reading Vernier Scales Slide 6/6