Measurement of Newton's constant using a torsion balance with angular acceleration feedback.

@article{Gundlach2000MeasurementON,
  title={Measurement of Newton's constant using a torsion balance with angular acceleration feedback.},
  author={Jens H Gundlach and S. M. Merkowitz},
  journal={Physical review letters},
  year={2000},
  volume={85 14},
  pages={
          2869-72
        }
}
We measured Newton's gravitational constant G using a new torsion balance method. Our technique greatly reduces several sources of uncertainty compared to previous measurements: (1) It is insensitive to anelastic torsion fiber properties; (2) a flat plate pendulum minimizes the sensitivity due to the pendulum density distribution; (3) continuous attractor rotation reduces background noise. We obtain G = (6.674215+/-0.000092) x 10(-11) m3 kg(-1) s(-2); the Earth's mass is, therefore, M = (5… 

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References

SHOWING 1-10 OF 24 REFERENCES
Measurement Techniques セッション
Phys. Rev. D
  • Phys. Rev. D
  • 1994
Armstrong
  • Meas. Sci. Technol
  • 1999
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1997
Beams and Rose similarly servoed angular acceleration of the pendulum platform to the gravitational acceleration
  • Phys. Rev. Lett
  • 1969
Meas. Sci. Technol. Meas. Sci. Technol. Meas. Sci. Technol
  • Meas. Sci. Technol. Meas. Sci. Technol. Meas. Sci. Technol
  • 1999
Rev. Mod. Phys
  • Rev. Mod. Phys
  • 1987
J. Phys. Chem. Ref. Data
  • J. Phys. Chem. Ref. Data
  • 1999
Phys. Lett. A
  • Phys. Lett. A
  • 1998
Meas. Tech
  • Meas. Tech
  • 1993
...
...