The speed of sound in a solid medium is given by the formulae =/‾‾‾‾√ where is the value of Young's modulus for the solid and is the density. A sound wave travels at 5.8×103 m/s in a steel rod of length 1.06 m, diameter 2.0 cm, and mass 7.0 kg. Use the data to determine the value of Young's modulus for steel. Give your answer in giga-pascal (GPa, 109 N per m2).
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