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Calculate the amplitude of the sinusoidal waveform z(t)=.27sin(.369πt+.142π÷4.25).

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Calculate the amplitude of the sinusoidal waveform z(t)=.27sin(.369πt+.142π÷4.25).

(a) .287

(b) .270

(c) .216

(d) .287

I have been asked this question in examination.

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

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Right answer is (b) .270

The best I can explain: Sinusoidal waveform is generally expressed in the form of V=Vmsin(ωt+α) where Vm represents peak value, ω represents angular frequency, α represents a phase difference. By comparing the waveform z(t) with the generalized sinusoidal expression we can see Vm=.27 and ω=.369π rad/s.

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