Question

Calculate the time period of the waveform v(t)=.6sin(.1πt+8π)+17cos(2πt+π)+ 4tan(.1πt).

(a) 88 sec

(b) 20 sec

(c) 70 sec

(d) 43 sec

This question was posed to me by my school teacher while I was bunking the class.

This interesting question is from Induction Motors in division Speed Control of Direct Current Motors & Induction Motors of Electric Drives

Answer 1

Correct choice is (b) 20 sec

The explanation: The fundamental time period of the sine wave is 2π. The time period of v(t) is L.C.M {20,1,20}=20 sec. The time period is independent of phase shifting and time shifting.