Simple Harmonic Motion - At which rate will a ball vibrate

[pat666]

A hanging wire is 1.80 m long. When a 60.0 kg ball is suspended from the wire, the wire stretches 2.00 mm. If the ball is pulled down a small additional distance and released, at what frequency will it vibrate? Assume that the stress on the wire is less than the proportional limit.
I have found an answer but it seems too simple and does not take into account the length of the wire but I am pretty sure that it should. any help is appreciated. thanks

Homework Equations

F=kx
T=2pi*sqrt(m/k)
f=1/T

The Attempt at a Solution

Found the spring constant to be 294300n/m

then found the period of oscillation to be 0.0897s
then inverted it to find the frequency to be 11.15hz

 

[rock.freak667]

Yes that is correct.