The density of aluminum is 2.7 × 10³kg/m³. The speed of longitudinal waves in an aluminum rod is measured to be 5.1 × 103 m/s. What is the value of Young's modulus for this aluminum? A) 7.0 × 10¹⁰ N/m² B) 7.0 × 10⁷N/m² C) 2.2 × 10¹¹ N/m² D) 2.2 × 10⁹ N/m² E) 1.4 × 10⁷ N/m²

Question

Quizplus · Accepted Answer

Young's modulus is given by Y = ρv^2, where ρ is the density and v is the speed of the wave. Plugging in the given values, we get Y = (2.7 × 10^3 kg/m^3)(5.1 × 10^3 m/s)^2 = 7.0 × 10^10 N/m^2.

The Density of Aluminum Is 2