The Young's modulus of aluminum (density = 2700 kg/m³) is 6.9 × 10¹⁰ N/m². Determine the speed of sound in an aluminum rod. A)1.4 × 10³ m/s B)2.5 × 10³ m/s C)5.1 × 10³ m/s D)6.3 × 10³ m/s E)7.0 × 10³ m/s

Question

Quizplus · Accepted Answer

The speed of sound in a material is given by:
v = sqrt(Y/ρ)
where Y is the Young's modulus and ρ is the density of the material. Substituting the given values, we get:
v = sqrt(6.9 × 10^10 N/m^2 / 2700 kg/m^3) = 5.1 × 10^3 m/s = 5.1 × 10^13 cm/s
Therefore, the answer is C, 5.1 × 10^3 m/s.

The Young's Modulus of Aluminum (Density = 2700 Kg/m3) Is

The Young's Modulus of Aluminum (Density = 2700 Kg/m³) Is