We present a new analysis of Rossi X-ray Timing Explorer observations of the 2002 outburst of the transient X-ray nova 4U 1543-47 . We focus on observations in the High/Soft state , and attempt to measure the ‘ ‘ spin ’ ’ of the black hole by simultaneously fitting the thermal disk continuum and by modeling the broadened iron k-shell emission lines and additional blurred reflection features . Previous works have found that use of these methods individually returns contradictory values for the dimensionless spin parameter a _ { * } = cJ / GM ^ { 2 } . We find that when used in conjunction with each other , a moderate spin is obtained ( a _ { * } = 0.43 ^ { +0.22 } _ { -0.31 } ) that is actually consistent with both other values within errors . We discuss limitations of our analysis , systematic uncertainties , and implications of this measurement , and compare our result to those previously claimed for 4U 1543-47 .