Question

Estimate the order of magnitude of the velocity of sound in the metal.

Answer 1

The speed of sound can be expressed in terms of density (order of magnitude 1000) and young's modulus of metal (order of magnitude 10⁹:

$$OM_v=\sqrt\frac{OM_E}{OM_\rho}=\sqrt{\frac{10^9}{1000}}=10^3.$$