How to find Speed of sound using Mass density and Youngs Modulus?

Question

beryllium density = 1.85 gm/ cm^3

Young's Modulus = 287 Gpa

also whats the formula to find density and Young's Modulus using the information given along with the speed of sound

Answer 1

Density of the beryllium, ρ = 1.85 gm/ cm³

                                           =1.85×10^-3 /10^-6  kg/ m³

                                           =1.85×10³ kg/ m³

Young's Modulus of the material , Y =287 GPa

                                                          =287×10⁹  Pa

Calculate the speed of the sound by using the following formula:

C =√((287×10⁹) /(1.85×10³ ))

    =12.455×10³ m/s

Therefore, the speed of the sound is 12.455×10³ m/s