Interested in torsional modes of vibration? Me too!
PhyPhox has a Gyroscope tool that allows the measurement of the rotation rate (radians/second) in three axes. Similar to the other measurement methods explored on this site, you can place your phone on an appropriate model structure to determine the natural period of vibration for further analysis.
This patio table provides an excellent example of a structure with low torsional flexibility. I placed my phone on the surface and twisted and released the table top.
Examining the z-axis gyroscope measurement, 5 cycles takes 0.4616 seconds, for a natural period of 0.0923 seconds. This is a natural frequency of 10.8 Hz. Now we can get to work exploring mass moments of inertia and torsional stiffness!
You might also compare the results from the gyroscope to an x-axis acceleration measurement with the phone placed away from the twisting axis.