The Young's modulus for aluminum is 7.02 *1010 N/m². If the speed of sound in aluminum is measured to be 5.10 km/s, find its density (in kg/m3). A)11.3 * 103 B)7.80 * 103 C)2.70 *103 D)29.3 * 103 E)1.40 *103

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Quizplus · Accepted Answer

The speed of sound in a material is given by the formula v = sqrt(E/ρ), where v is the speed of sound, E is the Young's modulus, and ρ is the density. Rearranging for density, ρ = E/v^2. Substituting the given values, ρ = (7.02 * 10^10) / (5100^2) = 2.70 * 10^3 kg/m^3.

The Young's Modulus for Aluminum Is 7