Answer:
See the explanation below
Explanation:
The speed of sound waves can be calculated using the following equation:
[tex]v_{s}=\sqrt{\frac{E}{ro} } \\where:\\E = Young's modulus [GPa]\\ro = density of the material [kg/m^3][/tex]
Let's do the exercise of comparing two materials one denser than the other, as is steel and aluminum
ro_steel = 7500 [kg/m^3]
ro_aluminum = 2700 [kg/m^3]
E_steel = 200 [GPa]
E_aluminum = 70 [GPa]
Now replacing the values in the equation for each material.
[tex]v_{steel}=\sqrt{\frac{200*10^9}{7500}}\\ v_{steel}=5163[m/s][/tex]
And for the aluminum
[tex]v_{aluminum}=\sqrt{\frac{70*10^9}{2700} }\\ v_{aluminum}=5091.75[m/s][/tex]
In this way we can see that sound propagates faster in denser materials.
