Solved: A sinusoidal wave can be described by a cosine

Chapter 15, Problem 13DQ

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QUESTION:

Problem 13DQ

A sinusoidal wave can be described by a cosine function, which is negative just as often as positive. So why isn’t the average power delivered by this wave zero?

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QUESTION:

Problem 13DQ

A sinusoidal wave can be described by a cosine function, which is negative just as often as positive. So why isn’t the average power delivered by this wave zero?

ANSWER:

Step 1 of 2

The expression for average power of sinusoidal wave is given by,

 ,

where  is linear mass density,  is force in the string, is angular frequency and A is the amplitude.

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