Purpose:
The purpose of this lab was to find a relationship between mass and period on an inertial balance. The relationship should be expressed in the form of an equation that is able to predict values accurately.
Apparatus:
The apparatus was an inertial balance clamped to a table. There was tape on one end, which was used to pass through the photogate in order to measure the period. Various masses were placed on the balance to measure the different periods.
Theory:
If the Mtray measured is correct, the slope should be straight. A straight slope means that the correlation coefficient should be as close to 1 as possible.
Data:
Calculations/Graph:
Analysis:
The graphs and data table show that between the masses of 300 and 320 g, the correlation coefficient is the closest to 1, meaning that the slope is a straight line. From that, the values of the slope and y-intercept, which coincides with the unknown values of A and n, are found. From that, we have all of the unknown variables in the equation of the power law. This can be used to determine masses of a variety of objects, as long as we can measure the period of the item.
Conclusion:
The relationship found between the mass and the period shows that a greater mass results in a longer period. The calculated mass of the calculator and the actual measured mass of the calculator varies greatly, but the calculated mass of the phone and the actual measured mass of the phone match up quite nicely. I think the error of the calculator may be due to an error in the measuring of the period of the balance, as it may have been not properly centered.
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