Thank you so much! That's incredibly helpful. Could you point me towards your source for further reading on the topic?
And as you said, the tapering will modify these calculations. Will it essentially be a change of the moment of inertia, or is it more complex than that?
We use glass for these applications all the time. The issue is that the stiffness of a non-tapered glass pipette is too great to perform contact-mode measurements.
I'm using it as a cantilever tip in some atomic force microscopy experiments. Usually we fabricate our own cantilevers using optical fiber with a spring constant of ~100 Newtons/metre. Now we want to use a pipette as the cantilever tip. As such, we need the pipette to have a spring constant...
Homework Statement
I require the a means to theoretically calculate the spring constant of a hollow tube.
Essentially, I need to find the diameter of the glass pipette which will have a spring constant of 100 Newtons/metre. If someone could point me towards relevant information on...