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The following measured data with a given nominal length for two gauge blocks of the same material are presented below: Measurements: z1 = (100 +
The following measured data with a given nominal length for two gauge blocks of the same material are presented below:
- Measurements:z1= (100 + 9 x 10-5) mm,z2= (100 + 5 x 10-5) mm;
- Uncertainty of measurements:u(z1) =u(z2)= u(z) = 5 x 10-5mm;
- Temperatures:t1= 20.5?C,t2= ?C;
- Uncertainty of temperatures:u(t1) =u(t2) =u(t) = 0.1?C;
- c= 10-5m/k;u(c) = 10-6m/k.
What can a variance matrixVLassociated with their lengthsL= (L1,L2)Tfor the given data tell us? What are the dimensions of this variance matrixVL? Discuss the uncertainties associated withL1+-L2
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