Question about objects on waves

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In summary, calculating the motion of an object on a wave, specifically a sine wave in water, involves considering the gravitational and buoyancy forces acting on the object. If the buoyancy force is stronger than gravity, the object will move up and down in place while the waves pass, and if it is weaker, the object will sink. However, the conversation also mentions the interest in understanding the impact of the object's mass on its vertical motion, which may require an equation to calculate.
  • #1
Green Zach
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How would I go about calculating the motion of an object on a wave? For simplicity's sake let's just say its a sine wave. And this is an object on a water wave. Any pointers would be much appreciated. I'm interested in understanding how the mass of the object affect's it's motion in the vertical direction.
 
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In the context of water, gravitational force is m*g, while the water exerts a buoyancy force. If the buoyancy is stronger than gravity, then the object will move up and down in place while the waves in the water pass (keep in mind that objects that are floating don't actually move with the waves). Otherwise the object will sink.
 
  • #3
zcd said:
In the context of water, gravitational force is m*g, while the water exerts a buoyancy force. If the buoyancy is stronger than gravity, then the object will move up and down in place while the waves in the water pass (keep in mind that objects that are floating don't actually move with the waves). Otherwise the object will sink.

Well i know all of these things but what I am interested in is an equation. Thanks for the help :)
 

Related to Question about objects on waves

1. What is the relationship between the amplitude of a wave and the energy of an object on the wave?

The amplitude of a wave is directly proportional to the energy of an object on the wave. This means that the higher the amplitude, the more energy the object has. Conversely, a lower amplitude corresponds to less energy for the object.

2. How does the frequency of a wave affect the motion of an object on the wave?

The frequency of a wave directly impacts the motion of an object on the wave. A higher frequency means that the wave is oscillating more quickly, causing the object to move at a faster rate. A lower frequency results in slower motion for the object.

3. Can objects on waves experience both longitudinal and transverse motion?

Yes, objects on waves can experience both longitudinal and transverse motion. Longitudinal motion occurs when the particles of the wave vibrate in the same direction as the wave is moving, while transverse motion occurs when the particles vibrate perpendicular to the direction of wave motion.

4. How does the density of a medium affect the speed of a wave and the behavior of objects on the wave?

The density of a medium directly affects the speed of a wave, as well as the behavior of objects on the wave. In general, waves travel faster in denser mediums. Objects on the wave will also behave differently depending on the density of the medium, as denser mediums will cause more resistance and slower motion for the object.

5. What factors determine the wavelength of a wave and how does this impact objects on the wave?

The wavelength of a wave is determined by the speed of the wave and its frequency. A higher frequency or faster wave speed will result in a shorter wavelength, while a lower frequency or slower wave speed will result in a longer wavelength. The wavelength can impact objects on the wave by affecting the amplitude and energy of the wave, as well as the motion and behavior of the object.

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