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The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At no-load, the motor speed can be approximated to the synchronous speed.  The no-load lagging power factor of the motor is __________ (up to $3$ decimal places).

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