experimental uncertainty examples

Example: Experimental uncertainty analysis Example Given: Quantities A and B are measured, 200 times each: • The sample mean and sample standard deviation for A are A=520. Then the value of Experimental Uncertainties No physical quantity can be measured exactly. the uncertainty associated with a single measurement. Example: Calculate the percentage uncertainty when 24.2 ml are delivered from a burette. If we count eggs in a carton, we know exactly how many eggs the carton contains. Uncertainty in a Scale Measuring Device is equal to the smallest increment divided by 2. Counting is the only type of measurement that is free from uncertainty, provided the number of objects being counted does not change while the counting process is underway. However, many of these efforts have failed because the substructuring calculations can be very sensitive to experimental uncertainty and truncation of the subcomponent models. Example When your equipment is calibrated by an ISO/IEC 17025:2005 accredited laboratory or a national metrology institute, you receive a report with measurement results and estimates of uncertainty in measurement. Submit a Laboratory Report through Moodle, as shown in the last section of this outline. Your uncertainty in M is σ=±.4 g . The result of such a counting measurement is an example of an exact number. The number that we quote as ‘experimental error’ might be more accurately described as ‘experimental precision’. 4 USES OF UNCERTAINTY ANALYSIS (I) • Assess experimental procedure including identification of potential difficulties – Definition of necessary steps – Gaps • Advise what procedures need to be put in place for measurement • Identify instruments and procedures that control accuracy and precision – Usually one, or at most a small number, out of the large set of A good example is a determination of work done by pulling a cart on an incline that requires measuring the force and the distance independently. Other properties do not; the diameter of a planet, for example, although quoted in tables of data, is a mean value. This fact can be expressed in the standard form X ± dX. This means X is between ... example above, the relative uncertainty in … You will have uncertainties associated with your mass measurement and your length measurement. The temperature of a system, or its mass, for example, has particular values which can be determined to acceptable degrees of uncertainty with suitable care. • Quantity C is not measured directly, but it is calculated as CA= 2 +3B. M= 30.1 ± .4 g . Find the reported estimate of measurement uncertainty. It is an estimate of the inherent uncertainty associated with our experimental procedure, and is not dependent on any presumed ‘right answer’. L= 1.6 ± .05 cm. The following general rules of thumb are often used to determine the uncertainty in a single measurement when using a scale or digital measuring device. To do: Report C in standard engineering format. The burette requires two readings, the initial reading and the final reading. One can only know its value with a certain range of uncertainty. Lab Exercise 1: Experimental Errors and Uncertainty Follow the instructions and directions below for this lab. The volume delivered is obtained by subtraction of the initial reading from the final reading. • The sample mean and sample standard deviation for B are B =22 32. and 105 B S.= . Read this document entirely before starting your work. 1. i.e. Example:Suppose we are asked to measure the length of a block of glass. Experimental Uncertainty (Experimental Error) for a Product of Two Measurements: Sometimes it is necessary to combine two (or even more than two) measurements to get a needed result. Do not forget to record your measurements and partial results. Experimental-analytical substructuring methods have long been explored to expedite testing and analysis of built up systems in various fields. In this example, you are calculating the density of the cube by measuring its mass and the length of a side. 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