A separate pendulum experiment gives a best estimate with a combined standard uncertainty

PHYSICS · Multi-part · Fermi University Physics · Scientific Practice & Experimental Methods · Uncertainty in measurement · Uncertainty in measurement

Measurement and Method, Ch Type A, Type B and the uncertainty budget

Problem

A separate pendulum experiment gives a best estimate

\bar g = 9.792\,\mathrm{m\,s^{-2}}

with a combined standard uncertainty

u_{\rm c}(g) = 0.015\,\mathrm{m\,s^{-2}}

, obtained by combining several Type A and Type B rows in quadrature. The spread of the underlying readings is close to Gaussian. ((a)) Write the result as it should be quoted at coverage factor

k=1

, with the one-sentence statement of what that

\pm

promises. ((b)) Write the result at

k=2

, computing the expanded uncertainty

U

and stating the coverage it claims and the sentence that goes with it.

Browse the problem library