# Natural Frequency of Cantilevered Coil

1. Apr 9, 2009

### Sami Lakka

I would like to calculate the natural frequency of a cantilevered spiral coil. So instead of having a standard beam which is straight, I have a beam which has one end fixed to an axle and the beam is spiralled several times around the axle. The end of the beam comes out of the spiral and runs straight for some length.

I know that I can compute the frequency of the standard beam using:

f=1/(2*pi) * sqrt( (3 * E * I)/(l^3*0.23m))

where E = elastic modulus, I=Inertia, l=length of the beam and m=mass of the beam.

Can I use the same formula by just noting the increased length?