Designing a Cantilever Beam for Resonance Frequency

[engineer23]

Homework Statement

The problem is to design a cantilever beam with a certain resonant frequency.

Homework Equations

w = sqrt (k/m)

The Attempt at a Solution

I know k for a beam and m can be written as density * volume.

My question deals with the w. If I am given a frequency in Hz, can I plug it in for omega directly? Or do I need to multiply by 2*pi first?

 

[PhanthomJay]

Homework Statement

The problem is to design a cantilever beam with a certain resonant frequency.

Homework Equations

w = sqrt (k/m)

The Attempt at a Solution

I know k for a beam and m can be written as density * volume.

My question deals with the w. If I am given a frequency in Hz, can I plug it in for omega directly?

No.

Or do I need to multiply by 2*pi first?

Yes. The angular frequency w, in radians/sec , is the natural frequency, f , in Hz, multiplied by 2*pi. The equation you note is for the angular frequency.