College Physics ›› 2021, Vol. 40 ›› Issue (11): 48-.doi: 10.16854 / j.cnki.1000-0712.210079

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Measurement of rigid body inertia tensor using gyroscope sensor on a mobile phone

LOU Chen-xuan,ZHOU Jing-lin,ZHENG Xue-yao,LIU Ke-wei,LUO Dan-nan,BAI Zai-qiao   

  1. Department of Physics,Beijing Normal University,Beijing 100875,China
  • Received:2021-02-17 Revised:2021-03-30 Online:2021-11-20 Published:2021-11-15

Abstract: By using a gyroscope sensor and phyphox software,the angular velocity curve of a free

falling mo- bile phone is recorded. Then,up to a scale constant,the inertia tensor of the

phone is determined based on the conservation of orbital angular momentum and kinetic energy

in the center-of-mass reference frame. Depending on whether vanishing off-diagonal elements is or

not assumed,two algorithms are proposed to calculate the inertia ten- sor. The results are

confirmed by substituting it into the Euler equation for recoded trajectories.

Key words: rotation inertia, phyphox, gyroscope, euler equation