The bulk modulus of aluminum is 7.1 $\times$ 10¹⁰ N/m².If the density of aluminum is 2.7 $\times$ 10³ kg/m³,then what is the speed of sound in aluminum? A) 4,500 m/s B) 4,700 m/s C) 4,900 m/s D) 5,100 m/s E) 5,500 m/s

Question

Quizplus · Accepted Answer

The formula for the speed of sound in a given material is:
v = √(K/ρ)
where v is the speed of sound, K is the bulk modulus, and ρ is the density.
Substituting the values given in the problem, we get:
v = √(7.1 x 10^10 N/m^2 / 2.7 x 10^3 kg/m^3) = 5,097 m/s
Therefore, the closest option is D) 5,100 m/s.

The Bulk Modulus of Aluminum Is 7 ×\times× 1010 N/m2 ×\times× 103 Kg/m3,then What Is the Speed of Sound in Aluminum

The Bulk Modulus of Aluminum Is 7 $\times$ 10¹⁰ N/m² $\times$ 10³ Kg/m³,then What Is the Speed of Sound in Aluminum