How Do You Calculate the Amplitude of a Standing Wave at a Specific Point?

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To calculate the amplitude of a standing wave at a specific point, one must understand the wave equation and the properties of standing waves. The amplitude at a point near an antinode can be determined using the wave equation, which typically involves parameters such as wavelength and frequency. The amplitude decreases as you move away from the antinode, so knowing the distance from the antinode is crucial. A clear formulation of the standing wave equation will help in finding the amplitude at the desired point. Understanding these concepts will provide the necessary direction for solving the problem.
Joza
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URGENT. Wave Equation question

I have a standing wave and it's various parameters. I need to work out the amplitude at a point 3 cm to the right of an antinode.

I'm stumped as to how to approach it.

A pointer in the right direction would be great!
 
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Can you post the actual question? What's the equation for describing a standing wave?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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