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Calculate the time period of the waveform y(t)=87cos(πt+289π÷4).

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Calculate the time period of the waveform y(t)=87cos(πt+289π÷4).

(a) 2 sec

(b) 37 sec

(c) 3 sec

(d) 1 sec

The question was asked during a job interview.

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

1 Answer

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Correct choice is (a) 2 sec

Easiest explanation: The fundamental time period of the cosine wave is 2π. The time period of y(t) is a 2π÷π=2 sec. The time period is independent of phase shifting and time shifting.

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