Doubling the frequency of a wave

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SUMMARY

Doubling the frequency of a wave on a string while maintaining constant speed and amplitude results in an increase in the rate of energy delivered by the wave. The misconception that power is solely dependent on amplitude squared is clarified; power is influenced by both frequency and amplitude. The correct understanding of the power equation is essential for accurately determining energy delivery in wave mechanics.

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  • Understanding of wave mechanics
  • Familiarity with the power equation in physics
  • Knowledge of frequency and amplitude concepts
  • Basic mathematical skills for manipulating equations
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  • Study the power equation in wave mechanics
  • Explore the relationship between frequency, amplitude, and energy delivery
  • Learn about wave speed and its effects on energy transmission
  • Investigate practical applications of wave energy in real-world scenarios
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Students of physics, educators teaching wave mechanics, and anyone interested in understanding the dynamics of wave energy delivery.

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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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