given that the voltage of the dimeat8c supply is represented by V=311 Sin 314.2t. calculate the frequency of the AC supply ( takeπ=3.142)

a). 50.0Hz
b). 100.0Hz
c). 311.0Hz
d). 314.2Hz
e). 50.00Hz?

the period of sin(kt) is 2π/k

You have sin(100π t) so its period is 2π/100π = 1/50
So, the frequency = 1/period = 50 Hz, with the appropriate number of significant digits.