The current I in amperes flowing through an ac alternating c

The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, is shown below. I(t) = 160 sin (50 pi t) t greaterthanorequalto 0 What is the period? What is the amplitude? Graph this function over two periods. What is the period? T =

Solution

period of sin(ax) is 2pi/abs(a)

so the period of given function is 2pi/abs(50)

                                          = 2pi/50

                                          = pi/25