Rabi evolution as a rotation

A qubit starts in $\lvert0\rangle$ and evolves under $H=\tfrac{\omega}{2}X$ (units with $\hbar=1$) for a time $t$ with $\omega t=\pi/2$. The circuit contains one rotation $R_X(\texttt{wt})$; set the parameter $\texttt{wt}$ so that the circuit implements $U(t)=e^{-iHt}$ exactly.

Recall $R_X(\alpha)=e^{-i\alpha X/2}=\cos\tfrac\alpha2\,I-i\sin\tfrac\alpha2\,X$, valid because $X^2=I$. The grader compares the final statevector to the exact solution with tolerance $\lVert\psi-\psi_{\text{target}}\rVert_2\le10^{-6}$.