UNCERTAINTY CONTRIBUTION IN THE CASE OF COSINE FUNCTION WITH ZERO ESTIMATE – A PROPOSAL

Dirk Röske

Abstract

The model function of the torque generated in a static torque standard machine contains a cosine function for the inclination of the lever against the horizontal plane. An inclined lever has a shorter effective lever arm length, and a smaller torque is generated in this case. The uncertainty analysis of this model function gives a zero sensitivity coefficient for the inclination angle when the estimate of the angle is zero – a mathematical correct, but from the uncertainty point of view, obviously improper result. A method for dealing with this problem is proposed in this paper.

Keywords

uncertainty, cosine function, zero estimate

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IMEKO-TC3-2010-028.pdf

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IMEKO TC

TC3 - Measurement of Force, Mass, Torque, and Gravity

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