What is the frequency of the bobbing raft with a 4990 kg load in fresh water?

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In summary, the question asks for the frequency at which a raft with a mass of 17600 kg and a dropped load of 4990 kg will bob up and down in fresh water. The acceleration of gravity is given as 9.8 m/s2 and the formula for frequency is provided as frequency = \frac{1}{2 \pi} \sqrt{\frac{\rho A g}{m}}.
  • #1
lizzyb
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Hi - I'm not sure where to begin with this question:

Question:
A 4 m by 11 m raft whose mass is 17600 kg floats in fresh water. A 4990 kg load is dropped on the raft.

The acceleration of gravity is 9.8 m/s2 .

With what frequency does the raft bob up and down?

Answer in units of Hz.

Comments:

??
 
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  • #2
ok I can use archimedes' principle regarding buoyancy force to determine how far the raft is depressed from it's initial equilibrium position below the surface to the water to the distance below the water when the load is dropped on it, but what then?
 
  • #3
frequency = [tex]\frac{1}{2 \pi} \sqrt{\frac{\rho A g}{m}}[/tex]
 

1. What is the frequency of bobbing on a raft?

The frequency of bobbing on a raft depends on various factors such as the size and weight of the raft, the force of the waves, and the stability of the water. Generally, it can range from 1-3 times per second.

2. How does the frequency of bobbing change in different types of water?

In calm waters, the frequency of bobbing may be lower due to the lack of strong waves. In rough waters, the frequency may increase due to the stronger force of the waves. The type of water also plays a role, as the density and viscosity of the water can affect the frequency of bobbing.

3. Can the frequency of bobbing be controlled?

The frequency of bobbing on a raft cannot be fully controlled as it is influenced by external factors such as the waves and water conditions. However, the use of stabilizers or changing the weight distribution on the raft can help reduce the frequency of bobbing.

4. What is the relationship between frequency of bobbing and raft design?

The design of the raft can impact the frequency of bobbing. Rafts with a larger surface area or a wider base tend to have a lower frequency of bobbing as they are more stable in the water. However, the shape and weight distribution of the raft also play a role in determining the frequency of bobbing.

5. Does the frequency of bobbing affect motion sickness?

The frequency of bobbing can contribute to motion sickness, especially in individuals who are sensitive to motion. A higher frequency of bobbing can cause feelings of nausea and dizziness. It is important to take breaks and stay hydrated to prevent or alleviate motion sickness while on a bobbing raft.

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