Newton's Law of Cooling and Resonance Phenomena

In summary, the conversation discusses the concept of natural frequency and its relevance to water molecules. It is mentioned that natural frequency is the frequency at which a system oscillates without any external force, and that it is affected by temperature and pressure. The process of calculating the natural frequency of a single water molecule is also mentioned, with the suggestion that quantum chemistry calculations or a simplified model may be used. However, it is noted that discussing the natural frequency of a single molecule may not be a meaningful concept.
  • #1
Gh. Soleimani
44
1
Can we find the natural frequency of water's molecules by using of Newton's law of cooling and resonance phenomena?
 
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  • #2
Please define "the natural frequency" of a molecule of water.
 
  • #3
Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force. Free vibrations of an elastic body are called natural vibrations and occur at a frequency called the natural frequency.

Now, assume we want to calculate the natural frequency of a single molecule of water in normal conditions: T = 25 °C and P = 1 atm

What is the procedure of the solution?
 
  • #4
Gh. Soleimani said:
Now, assume we want to calculate the natural frequency of a single molecule of water in normal conditions: T = 25 °C and P = 1 atm
For starters, it does not make sense to talk about a single molecule at a given temperature and pressure.

If you are talking about about the vibrational frequencies of a molecule, then you would have to do quantum chemistry calculations or use a simplified mass-and-spring model.

But I have the feeling that this is not what you are after.
 

1. What is Newton's Law of Cooling?

Newton's Law of Cooling is a scientific principle that describes the rate at which an object loses heat to its surroundings. It states that the rate of heat loss is directly proportional to the temperature difference between the object and its surroundings.

2. How is Newton's Law of Cooling applied in real life?

Newton's Law of Cooling has many practical applications, such as predicting the cooling rate of hot beverages, determining the time of death in forensic science, and designing cooling systems for electronic devices.

3. What is resonance phenomena?

Resonance phenomena is a phenomenon in which an object vibrates at its natural frequency when subjected to an external force at the same frequency. This results in a large amplitude of vibration and can be observed in musical instruments and bridges.

4. How does resonance phenomena relate to Newton's Law of Cooling?

In some cases, Newton's Law of Cooling can exhibit resonance phenomena. For example, when a hot object is placed in an environment with a varying temperature, it can experience resonance at certain frequencies, resulting in larger heat transfer rates.

5. Can Newton's Law of Cooling be applied to all objects?

Newton's Law of Cooling is a general principle that can be applied to most objects, as long as they are in contact with a surrounding medium. However, it may not accurately predict the cooling rate for objects with complex shapes or in extreme conditions.

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