Calculating Margin of Error

In: Other Topics

Submitted By saragtat
Words 2757
Pages 12
Objective
The purpose for this experiment was to gain a better understanding of the two types of errors that occur in the processes of taking measurements. Also, it explains how the uncertainty level in direct measurements was found, and how the indirect measurements were calculated as well. To do that, dimensions and the mass of the metal block was measured, which were used to calculate the volume and density of the object as well as the margin of error.

Theory
In this lab, there were direct and indirection measurements involved, and several calculations were required in order to calculate the related variables. In part A of this lab, apparent and actual height of the wooden block was recorded with a meter stick. The meter stick has an accuracy of
±0.05 cm and no other calculations were needed. [1] Parallax is the change in the apparent position of an object when the position of the observed changes. It is also a common error in scientific experiments. One must be aware of its existence at all time so that it can be avoided and as a result the true value of the reading is obtained. Due to parallax, the position of the observed block appears to change as well, making the height of the block appear to be different for each measurement. In part B of this lab, measurements were recorded indirectly. A meter stick was used to measure the length of the metal block, with an accuracy of ±0.05 mm. Then the width and height was measured with a caliper with an accuracy of ±0.05 mm. These measurements were taken to calculate the volume of the metal block. The equation v=lwh was used in the calculation, where v = average volume, l = length, w = width, h = height. The average of each measurement was first calculated, and then an average volume was produced. The uncertainty of the volume was calculated using the propagation rule:

where

represents…...

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