Monday, 6 April 2020

Trying to improve my Foucault's Pendulum

 The first thing I did was to try to reduce the effective area of the pendulum. I tried a marble as a sphere has a smaller drag coefficient but it was much lighter so didn't get as much gravitational potential energy. I then went for the same stack of 1p pieces but with glue so I could do with the cork into which I'd screwed the fixing point.
I also worked on a better mathematical analysis of the work done by drag, as shown below. (A stands for cross-sectional area and a will be amplitude) The size of the drag force varies with displacement from equilibrium because the speed varies with displacement. In my last post, I used an average drag force to get a ball park figure.
 Here I've tried integrating between amplitude and -amplitude, half a time period.
                                      
So to reduce the work done by drag, amplitude is the key factor. A small amplitude is better. But I need an amplitude big enough to be able to tell that the direction has changed. Longer will also be better. That might just be possible if I can attach to the top rafter.