10.9 A brass wire 1.8 m long at is held taut with little tension between two rigid…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

10.9 A brass wire 1.8 m long at 27∘C27^{\circ} \mathrm{C} is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of −39∘C-39^{\circ} \mathrm{C}, what is the tension developed in the wire, if its diameter is 2.0 mm ? Co-efficient of linear expansion of brass =2.0×10−5 K−1=2.0 \times 10^{-5} \mathrm{~K}^{-1}; Young's modulus of brass =0.91×1011 Pa=0.91 \times 10^{11} \mathrm{~Pa}.

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