What is the precision of the vernier caliper? Record your measurements of the ou
ID: 1309649 • Letter: W
Question
What is the precision of the vernier caliper?
Record your measurements of the outer diameter of the washers in the table below.
diameter (d outer)
radius (r outer)
measurement #1
measurement #2
measurement #3
measurement #4
measurement #5
average
Record your measurements of the inner diameter of the washers in the table below.
diameter (d inner)
radius (r inner)
measurement #1
measurement #2
measurement #3
measurement #4
measurement #5
average
Record your measurements of the thickness of the washers in the table below.
thickness (t)
measurement #1
measurement #2
measurement #3
measurement #4
measurement #5
average
What coin did you choose for the next part of the experiment?
Record your measurements of the diameter of the coin in the table below.
diameter (d)
radius (r)
measurement #1
measurement #2
measurement #3
measurement #4
measurement #5
average
Record your measurements of the thickness of the coin in the table below.
thickness(t)
measurement #1
measurement #2
measurement #3
measurement #4
measurement #5
average
Why is it a good idea to average your measurements?
What is the relative precision of your diameter measurements?
What is the relative precision of your thickness measurements?
Use the averages of your measurements and the coin masses listed in the table in the introduction and calculate the volume and density for the washers and your coin. Record your results in the table below. Be sure to use the appropriate number of significant digits and units (cm3 and g/cm3).
Washer
Coin
Volume
Density
How does the density you found for the washers compare with the density of iron? Calculate a percent difference. Is your result reasonable? Explain.
How does the density you measured for the coin compare with the density you found in your research? Calculate a percent difference. Is your result reasonable? Explain.
How many quarters would be required to make a stack as tall as your height? What would the total mass of such a stack be?
Could you use your caliper to measure the thickness of a sheet of paper? To what precision? To what relative precision? Devise a scheme to measure the average thickness of the pages of a book more precisely than using the caliper on a single sheet. Describe and implement your scheme.
***Will give perfect rating and good amount of points for completing this*** Please number your answers so i will know which ones you are answering.
diameter (d outer)
radius (r outer)
measurement #1
measurement #2
measurement #3
measurement #4
measurement #5
average
Explanation / Answer
Vernier Caliper
A vernier caliper consists of a fixed part and a moveable jaw.
The fixed part includes a stem, that has a linear scale (called the main scale) engraved on it. The moveable jaw is free to slide along the fixed stem and has a small auxiliary scale (called the vernier scale) etched on it.
The main scale is 12 cm long, and the numbers etched onto it are in cm unit. For example, the numeral 7 represents 7 cm. Each centimeter interval is divided into 10 smaller divisions. Thus each division is 1 mm long.
The vernier scale, located below the main scale, is 0.9 cm long, and also has ten divisions. Thus each division on the vernier scale is 0.9 mm.
When the jaws of the caliper are closed, the zero line at the left end of the vernier scale (called the index) coincides with the zero line on the main scale. However, the first vernier division is: 1 - 0.9 = 0.1 mm away from the the next main-scale division, the second vernier division is: 2 - 1.8 = 0.2 mm away from the next main-scale division, and so on.
The object to be measured is placed snugly between the jaws. The length to be measured is the distance from the zero line of the main scale to the position of the index. Suppose the reading falls between 5.0 and 5.1 cm marks on the main scale. Because of the relationship between the vernier scale and main scale divisions discussed above, the digit in the second decimal place is accurately read as the vernier-scale mark that lines up with any main-scale mark (it is immaterial which main-scale mark it coincides with). In the present example, suppose the 8-mark on the vernier scale coincides with a main-scale mark. Thus, the reading is 5.080. Notice that a zero is added to the third decimal place as the first doubtful figure. Measurements made with a vernier caliper can therefore be estimated to thousandths of a centimeter.
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