A steel string guitar is strung so that there is negligible tension in the strings at a temperature of 24.9 °C. The guitar is taken to an outdoor winter concert where the temperature of the strings decreases to -15.1 °C. The cross-sectional area of a particular string is 5.5 × 10-6 m2. The distance between the points where the string is attached does not change. For steel, Young's modulus is 2.0 × 1011 N/m2; and the coefficient of linear expansion is 1.2 × 10-5/C°. Use your knowledge of linear thermal expansion and stress to calculate the tension in the string at the concert.
A) 530 N
B) 240 N
C) 120 N
D) 60 N
E) 30 N
Correct Answer:
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