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#question.A strain gauge arrangement is used to measure the applied force of a comnplex shaped civil engineering structure. Theoretical analysis have been round the relationship between the strain gauge deformnation nd force of the structure as af=b^(d-1)+2, where f is applied rorce, d is gauge deformation and a, b are parameters. Experiments are carried out by applying load to the structure. The experimental results are given in the table below.
f(N) 50 100 150 200 250
d(cm)x ?10?^(-2) 1.25 1.73 1.92 2.08 2.15

a] Use appropriate operations to convert the relationship into a linear relationship.
b] Tabulate corresponding values of x andy axes.
c) Plot the relevant linear graph aiid using the graph find the value of a and b.
d] Using an appropriate teclrnique ifhd the values of gauge deformation. d whenfrl25N and 275N
.

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