In residential electrical power systems (homes), which type of current is supplied by the utility to wall outlets?

An AC source produces an alternating current in a circuit with the function $i\left(t\right)=\left(1.5A\right)\cos\left\lbrack\left(250s^{-1}\right)t\right\rbrack$. What is the frequency of the source? What is the maximum current in the circuit?

The current in an AC circuit takes 0.02 s to change direction. What is the angular frequency of the AC source?