UNCERTAINTIES Flashcards
How ti find upabsolute uncertainty of a Custer value using gradient?
Find percentage uncertainty first
- this is done by finding gradient, then line of worse fit
- this is either the STEEPEST IR SHALLOWEST LINE (top of top through bottom of bottom error bar)
- then subract from good gradient / gradient
Okay now multiply this value by the actual value to get the ABSOLUTE UNCERTAINTY
How ti draw line of worse fit
Draw steepest or shallowest line with error bars given
- so must pass throihgh top of top error bar and bottom of bottom for steeper, vice Verca for shallowest
IMPORTANT
What number of decimal places do you leave uncertainty snd calculated value to
That the uncertainty and the calculated value must be given to same number of DECIMAL PLACES
what is reading vs measurement?
Reading is where there is NO ZERO ERROR= the value for zero is perfect
Measurement is when lining up against something twice
What is absolute uncertainty in reading vs measuremtn
In reading, it’s just the RESOLUTION/2 (no zero error)
But in a MEASUREMENT it’s absolute uncertainty = resolution (as there is uncertainty in both readings in measurements so they add up)
Why in a burette is it then x two?
Because now you’re actually doing a MEASUREMENT so they want you to multiply this by2
Examples of measurements vs readings
Measurements = temp, measuring cylinder, digital voltmeter and ammeter (as been calibrated already)
Readings = length, time for stopwatch, vernier calliper micrometer etc
So for dingin absolute uncertainty mostly what it’s gonna be for physics
Just the resolution of the thing
Okay how ti find UNCERTAINTY IN A A MEAN
find mean
Uncertainty = range of mean /2
When adding or subtracting how to find absolute
Absolute = additoj if other absolutes
And then add or subtract original normally
Multiplying or dividing how ti find new absolute
First find percentages, add them
Then multiply by the calcuakted vakue
Then leave to SAME DECIMAL PLACE
IF THERE IS A NON LINEAR TRANSFORMATION SUCH AS E, LN , LOG , SQAURE SQAURE ROOT ETC
how ti find nee absolute uncertainty based in value and absolute unvertwinties before?
CRAZY IMPORTSNT
FUNCTION (CENTRAL) - FUNCTION (LOWER)
basiclaly ocr do it this way, actual way is function upper - function lower /2
But ocr stupid so USE THIS WAY
Uncertainty in gradient
What if one error bar is autistic
Worst fir = highest error bar ti lowest on lowest or just the steepest thst you can draw going through ALL THE ERROR BARS
2) NOW FIND percentage difference between actual gradient
- multiply by calculate value
- leave to same decimal place
If one is autistic can circl and call it an OUTLIER
What does it mean if your absolute uncertainty is bigger than normal value
Then redo experiment trash
Otherwise might have ti add constsnt to attempt to find percentage
How to deem if experiment succeful
If the actual value falls in your value + the uncertainty range it’s success
If not it’s not success and need to redo