Review. A steel guitar string with a diameter of 1.00 mm

Chapter 19, Problem 73

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Review. A steel guitar string with a diameter of 1.00 mm is stretched between supports 80.0 cm apart. The temperature is 0.08C. (a) Find the mass per unit length of this string. (Use the value 7.86 3 103 kg/m3 for the density.) (b) The fundamental frequency of transverse oscillations of the string is 200 Hz. What is the tension in the string? Next, the temperature is raised to 30.08C. Find the resulting values of (c) the tension and (d) the fundamental frequency. Assume both the Youngs modulus of 20.0 3 1010 N/m2 and the average coefficient of expansion a 5 11.0 3 1026 (8C)21 have constant values between 0.08C and 30.08C.

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