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millimetres..
millimetres for each turn of the screw. h19.jpg)
The positioning screw is a 1/4 inch (6 mm.) Whitworth metal thread screw mounted horizontally between two brackets about 50 mm. apart. There is a knob on one end to turn the screw, and a 180º protractor fitted to the adjacent bracket measures fractions of a turn. (Two pointers fitted to the screw shaft, 180º apart, allow readings over 360º ). Locknuts on each end of the screw thread are adjusted to stop lateral movement of the screw, while still allowing it to be turned easily.
One end of the plumb line - a black cotton thread 1.03 mm. in diameter, sold for threading beads - is fastened to the top edge of the board; the line is wound one turn around the positioning screw, then drops vertically to the bob weight, which is an open inverted tin can suspended in water in a larger tin can..(See Re-Thinking the Plumb Line in the Theory Notes).
Turning the screw causes the line and bob to move horizontally at the pitch of the screw - 20 turns/inch; the line stays vertical provided the knob is turned slowly to allow the bob time to follow the movement, until it touches the side of the water container. The clearance between the bob weight and the water container is sufficient to allow enough movement for all ordinary measurements.
Like this:-
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Because the bob is light in weight, the restoring force is small, and several undesirable effects, leading to unwanted deflection of the bob, have been identified. They are:-
a. Surface tension of the water This efffect can be removed by making sure the bob is completely immersed
( i.e. the water level is higher than the top of the bob ). Strangely, adding soap or detergent to the water to lower the surface tension had no effect.
b. Deflection from external magnetic fields. This only showed up when a non magnetic water container was used - e.g. a glass jar. Using a tin can for the container shields the bob from external fields. An aluminium can, like the one used in the Dumpy Plummet, was tried but found to be too small for this purpose.
c. Deflection from electrostatic charge, and buoyancy. Both these effects seemed to occur together, when the bob was made from a plastic pill bottle, and can be avoided by not using plastic.
The target can be used :-
1.As a reference for aligning an instrument when it is mounted vertically.
2.To align tall sights when an instrument is mounted horizontally.
3. To measure the optical resolution of open sights - i.e to find the smallest movement of the line which can be detected by an observer.
4 To check the measuring accuracy of instruments fitted with scales.
5. To measure the parallax error of an instrument.
For 3, the resolution is measured in arcminutes, so we must know the focal length F.L.. - the distance from the instrument backsight to the plumb line. The graph gives the required focal length in metres, for integral values of resolution in arcminutes per single turn of the screw, or it can be found from :-
M., where ø is the selected number of arcminutes per turn.
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For example, for a plumb line position change of 3 arcminutes per screw turn, the required focal length is 1.5 M..
To carry out 4 and 5, it is better to find how far the line has moved for a given rotation of the screw, in millimetres.. One complete turn moves the line 1.27 mm., so the line movement LM for part of a turn is given by:-
, where Nº is the number of degrees of rotation read from the protractor scale. The equation also holds for multiple turns of the screw if 360º is added to the value of Nº for each turn.
These are two mounting brackets with line clamping and straining ability, for use with the end for centre alignment test. The line clamping washers will hold a 30 kgm. breaking strain nylon fishing line tight enough to prevent any discernible sag over a distance of 10 Metres, when looking along the line from one end. The bolt and washer assembly makes a good optical target if something dark is placed behind it as a background. The diagram is self explanatory.
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