We can write down the general equation of alternating current as I(t)=I_0 sin(wt+φ), where I_0 is amplitude or peak value of the current, w is the angular frequency (w=2πf, f is a frequency of the current); φ is the initial phase of oscillation. According to the condition of problem w=100π, hence get equation 100π=2πf → f=50Hz
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