  4U 1543-47 is a low mass X-ray binary which harbours a stellar-mass black
hole located in our Milky Way galaxy. In this paper, we revisit 7 data sets
which were in the Steep Power Law state of the 2002 outburst. The spectra were
observed by the Rossi X-ray Timing Explorer. We have carefully modelled the
X-ray reflection spectra, and made a joint-fit to these spectra with relxill,
for the reflected emission. We found a moderate black hole spin, which is
$0.67_{-0.08}^{+0.15}$ at 90% statistical confidence. Negative and low spins (<
0.5) at more than 99% statistical confidence are ruled out. In addition, our
results indicate that the model requires a super-solar iron abundance:
$5.05_{-0.26}^{+1.21}$, and the inclination angle of the inner disc is
$36.3_{-3.4}^{+5.3}$ degrees. This inclination angle is appreciably larger than
the binary orbital inclination angle (~21 degrees); this difference is possibly
a systematic artefact of the artificially low-density employed in the
reflection model for this X-ray binary system.
