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MT25F Atmospheric Analogues MT25F Atmospheric Analogues

MT25F Atmospheric Analogues - PowerPoint Presentation

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MT25F Atmospheric Analogues - PPT Presentation

Briefing session Monday 2 Feb Overview This is a lab course and the purpose is twofold i t is a complement to the fluid mechanics you learn in MT24A Atmospheric and Ocean Dynamics it gives you experience in laboratory measurement practice data analysis techniques and report writing ID: 462783

abstract error theory slope error abstract slope theory measurement analysis what

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Slide1

MT25F Atmospheric Analogues

Briefing session

Monday

2

FebSlide2

Overview

This is a lab course, and the purpose is twofold:

i

t is a complement to the fluid mechanics you learn in MT24A Atmospheric and Ocean Dynamicsit gives you experience in laboratory measurement practice, data analysis techniques and report writingModule Convenor is Chris Westbrook (me!)email c.d.westbrook@reading.ac.ukmy office is room 502 in Philip Lyle building

Demonstrators are Hannah Parker and

Lenka

Novakova

Lab Technicians are Ian Read and Catherine SnellSlide3

manualSlide4

Some things we are looking for

Intelligent data and

e

rror analysis when using your measurements to test theoryExample:Imagine an experiment where you have a slope and a small ball, mass , at the top of the slope. You let go of the ball and measure the velocity

of the ball when it gets to the bottom of the slope. You make a measurement for several different heights of slope Theory tells you that

So plot

vs

(not

vs ), because you know that theory tells you this plot should be a straight line, with slope of

 

 

 

Need to estimate error in

and

– see manual for manipulating error estimates

Plot error bars on both axes (where appropriate)

Estimate slope of straight line – you can see more than 1 line could be consistent with these large error bars so need to estimate the maximum and minimum possible slope

Compare to theoretical value of

– consistent?

 Slide5

What if errors are very big?

 

 

Consider the case where the error on a single measurement of the quantity

is very big, but random (rather than systematic). We can improve this situation by repeating the measurement several times and taking the mean (average)

The error in the mean of

estimates is less than the error in each of them individually – the manual discusses how to calculate this “standard error”

The error is reduced by a factor of approximately

by averaging

 

 

 

1 measurement of

for each value of

:

 

Average 8 measurements of

for each value of

:

 Slide6

What if my data don’t match theory?

This does not necessarily mean you did the experiment wrong!

Is there a systematic discrepancy , even when you take into account the error bars, then you need to mention it, and discuss possible reasons why. – e.g. in our example we might find that the ball rolled 20% slower than theory

Think about reasons why this might be different to theory. What are we assuming in the theory which might be a poor assumption?

Or is there a measurement problem not accounted for in our error analysis? What might this be?

 

 

Red = theory

Blue = measurementsSlide7

What’s in an abstract?

What is it?

A very short summary of what you did and the main results/conclusions

It should stand alone from the rest of you work. In other words, you can’t assume that the person that reads the abstract has read the rest of the lab report.

Why is it useful?Every article in a scientific journal has an abstractEvery time you go to a scientific conference you have to write an abstract (and usually the abstract determines whether you get to give a talk or not)Your final year dissertation will require you to write an abstract

In general short concise summaries that convey the maximum scientific meaning are something that most research scientists need to produce on a regular basis – and you only get good at it by practicing.Slide8

What’s in an abstract?

- an example from one of my papers

PURPOSE / SPECIFIC QUESTIONS TO ANSWERSlide9

What’s in an abstract?

- an example from one of my papers

MAIN RESULT, INCLUDING RELEVANT QUANTITATIVE INFORMATIONSlide10

What’s in an abstract?

- an example from one of my papers

ANALYSIS OF WHAT RESULT MEANS AND CONCLUSIONSlide11

What I expect you to know already

How to plot a graph with labels, units, and error bars

The material you are covering in MT24A

Basic maths and physics [manipulation of equations, differentiation, simple geometry, relationship between frequency and period; wavelength and wavenumber; etc]How to experiment systematically [change one parameter at a time, think about what quantities to measure, etc]

If you don’t feel confident about these things, please come talk to meSlide12

See you next Monday afternoon!

Any questions?Slide13

What’s in an abstract?

- an example from one of my papers

PURPOSE / SPECIFIC QUESTIONS TO ANSWER

MAIN RESULT, INCLUDING RELEVANT QUANTITATIVE INFORMATION

ANALYSIS OF WHAT RESULT MEANS AND CONCLUSION