A purely resistive heater is connected to an a.c. mains supply whose instantaneous voltage is given by v(t)=2002sin(314t)V.
a. (i) Identify the angular frequency of the supply and hence calculate its frequency.
b. (ii) Determine the period of the supply voltage.
c. (iii) Calculate the number of complete cycles that occur in a time interval of 0.040s.