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uncertanity

how to calculate % uncertainty.what is the formula?:confused::confused:
Reply 1
Original post by lopper
how to calculate % uncertainty.what is the formula?:confused::confused:


Do you mean the percentage uncertainty in the value of a measurement due to the apparatus? If you do then it's generally:

percentage uncertainty=smallest graduation of apparatusmeasured value×100percentage \ uncertainty = \dfrac{smallest \ graduation \ of \ apparatus}{measured \ value} \times 100
(edited 11 years ago)
Reply 2
Original post by Star-girl
Do you mean the percentage uncertainty in the value of a measurement due to the apparatus? If you do then it's generally:

percentage uncertainty=smallest graduation of apparatusmeasured value×100percentage \ uncertainty = \dfrac{smallest \ graduation \ of \ apparatus}{measured \ value} \times 100


The engineer obtained three sets of data. The values for the Young modulus were14.2, 14.7 and 15.1 GPa.Determine the average value and state its uncertainty
(edited 11 years ago)
Reply 3
Original post by lopper
The engineer obtained three sets of data. The values for the Young modulus were14.2, 14.7 and 15.1 GPa.Determine the average value and state its uncertainty


Oh, I see - it is uncertainty in the average value of a measurement rather than due to the apparatus.

In that case, have you determined the average value? By how much does the farthest value differ from the average?
(edited 11 years ago)
Reply 4
Original post by Star-girl
Oh, I see - it is uncertainty in the average value of a measurement rather than due to the apparatus.

In that case, have you determined the average value? By how much does the farthest value differ from the average?


14.7 Gpa
Reply 5
Original post by lopper
14.7 Gpa


Yes. Now look at the measured value - which is the one furthest from 14.7 Gpa?
Reply 6
will the uncertanity be + or -1/2 range
Reply 7
14.2 and nice the difference is equal to the uncertainty.
Reply 8
Original post by lopper
14.2 and nice the difference is equal to the uncertainty.


It is indeed. However, you are asked for the percentage uncertainty and this is the difference as a percentage of the mean value. :smile:
Reply 9
Original post by Star-girl
It is indeed. However, you are asked for the percentage uncertainty and this is the difference as a percentage of the mean value. :smile:


thanks:smile:
Original post by lopper
thanks:smile:


You're welcome. :smile:

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