The Screw Gauge


This is device for the measurement of radius of wire of this cylinders and small length. It

consists of a u-shaped still frame F (1.3).

Fig 1.3 Screw Gauge
The rod with plane end is permanently fixed with the plane surface A of one arm. The
other arm has a hollow cylinder C. A linear scale graduated in millimeter is marked on
the cylinder and a screw with a cylindrical cap T is fitted with it. The screw can moved
through the hollow cylinder C. The end of the cylindrical cap T is graduated 0 to 50 or
100. When the Jaws are closed, that is, then the head of the screw B touches the plane
end of the fixed rod A, the zero of the circular scale coincides with the zero of the linear
scale. If the zero marks of the two scales do not coincide, then there is instrumental
error.
The distance through which the screw advances along the linear scale when the cap T is
rotated once is called the Pitch of the screw gauge. The distance through which the
screw advances when the circular scale is rotated through only 1 division is called the
least count. The least count is obtained by dividing the pitch by the number of divisions
in the circular scale.
Example : Suppose, the end B of the rod has crossed 12mm mark of the main scale and 7th
vernier mark has coincide with a main scale mark. Then the length of the rod will be
L = 12mm + 7 x 0.1mm (here vernier constant is 0.1mm)
= 12.7mm = 1.27cm.
Physics 17
Therefore, Least count =
Pitch
no. of division of the circular scale.
Usually the circular scale has 100 divisions and the pitch is 1mm.
Least count =
1
100mm = 0.01mm.
Measurement by Screw Gauge :
The wire whose diameter is to be measured or the plate whose thickness is to be
determined is placed between A and B. The wire or the plate should be so placed that it’s
one side touches A and the other side touches B. Now the reading of the linear and
circular scales is to be taken. Suppose the reading of the linear scale 1mm, and the
number of divisions of the circular scale is C. Then the diameter of the wire or the
thickness of the plate will be :
Diameter or thickness = Linear scale reading + no. of divisions of the circular scale x
Least count.
That is, D = L + C x LC
When the head of the screw touches the plane end of the fixed rod A, then the zero of the
circular scale should coincide with the zero of the linear scale, then it means there is an
error. For this reading should be corrected.