Doubling the frequency of a wave

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Doubling the frequency of a wave on a string while maintaining constant speed and amplitude affects the rate of energy delivery. The rate of energy, or power, is not solely dependent on amplitude squared; it also incorporates frequency into its calculation. Understanding the complete power equation clarifies why the initial assumption about energy delivery was incorrect. The discussion highlights the importance of recognizing all variables in wave mechanics. This insight is crucial for accurately solving related physics problems.
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If you were to double the frequency of a wave on a string while keeping the speed and amplitude of the wave constant, the rate at which energy delivered by the wave would...? I would have thought that the rate at which energy was delivered would stay the same, because Power is directly proportional to Amplitude squared, but it says I'm wrong. Any help would be much appriecated :)
 
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Saxby said:
If you were to double the frequency of a wave on a string while keeping the speed and amplitude of the wave constant, the rate at which energy delivered by the wave would...?


I would have thought that the rate at which energy was delivered would stay the same, because Power is directly proportional to Amplitude squared, but it says I'm wrong. Any help would be much appriecated :)

Power is proportional to more than just amplitude squared. What's the actual equation for power?
 
Ok, I've found the equation and i understand how it works. It's kinda of annoying that i hadn't been introduced to this equation in my lectures before i was given the questions, either way thanks for your help :)
 
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