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Electricity and Magnetism

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Difficult

Oscillations Formed by Products of Sine and Cosine

EANDM-CLZ0EY

A particle is undergoing a displacement, $y$, in the form of an oscillation given by:

$$y=sin(2\pi f t)\times cos(2\pi f t)$$

What is the average value of this oscillation over 1 complete cycle?

A

Average = $(A\pi)\,m.$

B

Average=$(A\pi)^2 \,m.$

C

Average=$0\,m.$

D

Average=$(A/\sqrt{2})\,m.$

E

Average=$(\sqrt{2}A)\,m$