# Transverse and Longitudinal waves in a wire

The question is :

The speed of longitudinal wave is ten times the speed of transverse waves in a tight brass wire. If the Young's Modulus of the wire is Y, then strain in the wire is?

I have read about transverse waves in a wire. I also know that the velocity is equal to $$\sqrt{T/μ}$$ where $$T$$ is the tension in the wire and $$μ$$ is the mass per unit length. My doubt is about longitudinal waves. Are longitudinal waves even possible in a stretched wire? And if they are possible, how can I derive the expression for its velocity?

Note that while this is a homework question, my doubt is about a concept and not the solution of the problem.

• Remember that sound waves are longitudinal waves, which certainly are possible in solid objects. – Bill Watts Apr 8 '19 at 23:48