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Vernier Caliper and Micrometer

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Submitted By cathburry
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The Vernier Principle. The vernier is an auxiliary scale, invented by Pierre Vernier in 1631, which has graduations that are of different length from those on the main scale but that bear a simple relation to them. The vernier scale has 10 divisions that correspond in length to 9 divisions on the main scale. Each vernier division is therefore shorter than a main-scale division by 1/10 of a main-scale division. The zero mark of the vernier scale coincides with the zero mark of the main scale. The first vernier division is 1/10 main-scale division short of a mark on the main scale, the second division in 2/10 short of the next mark on the main scale, and so on until the tenth vernier division is 10/10, or a whole division, short of a mark on the main scale. It therefore coincides with a mark on the main scale.
The Vernier Caliper. A widely used type of vernier caliper is shown schematically. The instrument has both British and metric scales and is provided with devices to measure internal depths and both inside and outside diameters. The jaws c and d are arranged to measure an outside diameter, jaws e and f to measure an inside diameter, and the blade g to measure an internal depth. The knurled wheel W is used for convenient adjustment of the movable jaw and the latch L to lock the jaw in position. A micrometer screw is another device for measuring very small distances. It consists essentially of a carefully machined screw R, to which is attached a circular scale C. A linear scale S provides for observation of the forward motion of the screw. The distance the 3 screw moves forward for one turn, the pitch of the screw, is known. The circular scale enables one to read the fractions of turns, and the linear scale enables one to record the whole number of turns. The least count of a micrometer screw is the pitch of the screw divided by the number of divisions on the circular scale. The Micrometer Caliper. The micrometer caliper, is used for the precise measurement of small lengths. It consists of a micrometer screw mounted in a strong frame F. The object to be measured is placed between the end of the screw and the projecting end A of the frame, called the anvil. The linear scale S is marked on the arm upon which the screw turns and the circular scale is engraved on the movable sleeve or thimble T.

One type of metric micrometer caliper has the linear scale graduated in millimeters, a screw having a pitch of
0.50 mm, and 50 divisions on the circular scale. The least count of this instrument is 0.50mm/50 = 0.010mm.
Inasmuch as it requires two revolutions of the screw to make it advance a distance of 1 mm, it is necessary to note whether the screw has advanced more or less than one-half of a main-scale division. Various methods are used for marking the half-millimeter distances. The first thing we need to do is to study the vernier caliper. Check if any zero correction is necessary. Study the micrometer caliper. Check if any zero correction is necessary. Then, measure the dimensions of the regularly-shaped objects. Use the vernier caliper for large dimensions and micrometer caliper for small dimensions. Take at least three readings for each dimension. After that, get the theoretical mass of each object using the beam balance.
We compute for the theoretical volume of each object using the equation for density which is mass over volume. We should also determine the density of each of the experimental objects before doing that. These are their constant values(g/cm3): Aluminum 2.7, Brass 8.5, Copper 8.89, Iron (wrought) 7.85, Lead 11.24, Nickel 8.6, Silver 10.6, Silicon 2.42, Steel 7.8.
We should also compute for the experimental volume of each object using the equations by using the formulas: Cube: V= s3, Cylinder: V= (pi)(d2)(h)/4, Disk: V= (pi)(do2-di2)h/4 and Sphere: V= (pi)d3/6.
The last thing we need to do is to compute for the percent error for each object using the equation:
% Error= |Theo- Exptl|/Theo x 100
(c)owner

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