Measurement of Mass, Length, and Time

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The objective of this experiment was to determine mathematical relationships between experimentally measured quantities, while also concentrating on taking experimental uncertainties into account when analyzing measurements. Measuring oscillation periods and noting how they changed when varying measurements of the item oscillating accomplished the first goal. Using equipment to measure certain quantities and then determining unknown quantities using mathematical calculations and graphical analysis accomplished the second goal.

In the first lab Period of a Simple Pendulum, each lab team measured oscillation periods of a different length pendulum and then compared our results. We used the formula

(where T=Period and L=Length), to relate the period and lengths to each other. In the second lab "Densities of Aluminum," we used equipment to measure diameter, length, and mass of three aluminum cylinders, so we could then in turn determine their volume, densities, and uncertainty of densities. We used the following equations to related the different sets of measurements

Step 6 Perform a "Linear" fit to the data, and use the slope to determine the density of aluminum. Record this value below. Some graphing programs allow the user to determine the statistical uncertainty in the slope of a plot. This would then enable us to determine the uncertainty in the density. Unfortunately, Excel does not allow for this. We will instead use the average uncertainty calculated in Step 4. This is a reasonable practice since (in most cases) these values will be very close to each other. Record the average uncertainty that you obtained in Step 4.Order College Papers on Measurement of Mass, Length, and Time

The experiment seemed to verify our theory that the length and period of a pendulum are directly related in that the longer the length, the longer the period. We could have shown this idea with even more accuracy had we had more precise tools to measure things with.

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