Maximum speed of a transverse wave???

Question

The elastic limit of a piece of steel wire is 2.05 109 Pa . What is the maximum speed at which transverse wave pulses can propagate along this wire without exceeding the stress? (The density of steel is 7.86 103 kg/m3.)____________m/s

Answer 1

Wave speed v = sqrt(T / (m/L)) (see ref.), where T=tension force, L=length, m=mass.
T = stress * wire cross-section area A.
m/L = density * A.
T / (m/L) = stress/density (you don't need to know A!)
So v = sqrt(stress/density)
Go figure.
I hope those numbers you cited are in the form x*10^y or they don't pass the sanity check. Use of the "*" and "^" symbols would make that clearer.