City Guilds Model Questions Vol1 2019 Engineering Question 45
Practice objective / multiple choice question 45 from the 2019 City Guilds Model Questions Vol1 Engineering examination.
The length \(L\) of a rectangular plate is obtained from the measurements \(L = \dfrac{a\,b}{c}\). The measured values and their standard uncertainties are: \(a = 20.0\ \text{cm},\ u_a = 0.2\ \text{cm};\ b = 30.0\ \text{cm},\ u_b = 0.3\ \text{cm};\ c = 15.0\ \text{cm},\ u_c = 0.15\ \text{cm}\). The correlation coefficient between the measurements of \(a\) and \(b\) is \(\rho_{ab}=0.6\); all other pairs are uncorrelated. Using the law of propagation of uncertainty, calculate the combined standard uncertainty \(u_L\) of the length \(L\). Express your answer in centimetres to two decimal places.
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About This Question
This is City Guilds Model Questions Vol1 2019 Engineering Question 45. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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