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The Purpose of this Minilab

The Purpose of this Minilab . Gain experience in calculating and propagating errors associated with measurements. Gain experience in performing rough estimations. Finding Uncertainties from Repeated Measurements. Repeated measurements can give you different results due to

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The Purpose of this Minilab

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  1. The Purpose of this Minilab • Gain experience in calculating and propagating errors associated with measurements. • Gain experience in performing rough estimations.

  2. Finding Uncertainties from Repeated Measurements • Repeated measurements can give you different results due to • Object variation (e.g., the width of a table may be different at • different positions, or it may vary with temperature or moisture • in the air). • Measurement device or procedure may create scatter in the • result.  Take many (5 or more) measurements and calculate the mean

  3. Mean Standard Deviation A measure of how far individual data scatter. Standard Deviation of the Mean This is the uncertainty/error in the mean value. Result

  4. Error Propagation A general physics formula….. And some measurement with uncertainties….. Plug in x, y, z….. to get value of “ f ” Calculate uncertainty in “ f “: Result

  5. Estimations…an example How many (NT) new car tires are bought in Utah every year? P: Population: 2 Million A: % that are adults and drive a car: 60% M: Number of miles driven per adult per year: 15000 miles N: Number of tires per car: 4 L: Number of miles during life of tire: 45000 miles

  6. What we will look at closely when grading… • Did you make reasonable estimations/calculations of uncertainties? • Did you report significant figures correctly? • Did you propagate your errors without mistakes? • When you performed an estimation, did you perform logical • reasoning to arrive at your estimate.

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