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05 November 2024 

   

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Measuring inertial mass with Kibble balance  Rajendra P. Gupta
;  Date: 
26 Jun 2022  Abstract:  A Kibble balance measures the $gravitational$ mass (weight) of a test mass
with extreme precision by balancing the gravitational pull on the test mass
against the electromagnetic lift force. The uncertainty in such mass
measurement is currently ~$1 imes 10^{8} $. We show how the same Kibble
balance can be used to measure the $inertial$ mass of a test mass, that too
with potentially 50% better measurement uncertainty, i.e., ~$5 imes 10^{9} $.
For measuring the inertial mass, the weight of the test mass and the assembly
holding it is precisely balanced by a counterweight. The application of the
known electromagnetic force accelerates the test mass. Measuring the velocity
after a controlled elapsed time provides the acceleration and consequently the
inertial mass of the accelerated assembly comprising the Kibble balance coil
and the mass holding pan. Repeating the measurement with the test mass added to
the assembly and taking the difference between the two measurements yields the
inertial mass of the test mass. Thus, the extreme precision inertial and
gravitational mass measurement of a test mass with a Kibble balance could
provide a test of the equivalence principle. We discuss how the two masses are
related to the Planck constant and other coupling constants and how the Kibble
balance could be used to test the dynamic constants theories in Dirac
cosmology.  Source:  arXiv, 2207.02680  Services:  Forum  Review  PDF  Favorites 


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