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We present a measurement of the time-dependent $CP$-violating
asymmetries in $B^0 \rightarrow K^{*0}\gamma (K^{*0}\rightarrow
K_S^0 \pi^0)$ decays based on 124 million $\Upsilon(4S)\rightarrow
B^0\bar{B}^0$ decays collected with the BaBar detector at the
PEP-II asymmetric-energy $B$ Factory at the Stanford Linear
Accelerator Center. In a sample containing $105\pm 14$ signal
decays, we measure $S_{K^{*0}} = 0.25 \pm 0.63 \pm 0.14$ and
$S_{K^{*0}} = -0.57 \pm 0.32 \pm 0.09$, where the first error is
statistical and the second systematic.
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