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madness
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If the temperature of something is a measure of the average kinetic energy of its particles then why aren't white water rapids hot?
russ_watters said:I think you guys may have misinterpreted: I don't think madness is asking about the white color, but rather the energy of the rapids.
madness - the energy contained in moving water is insignificant compared to the molecular energy of its temperature. It would take a massive waterfall to measure a difference in temperature from the top to the bottom. You can calculate how much if you like: the energy required to raise a gram of water by 1 degree C is 1 joule. Potential energy is mass times height: 1g of water raised 1000m is 1 joule. So a 1000m waterfall will have a temperature in the basin below 1 degree C higher than in the river above.
Well, it certainly neglects air resistance, but regarding conversion of the falling droplet kinetic energy to heat, there is nowhere else that it can go. Besides - air resistance is all converted to heat as well.Integral said:I am not entirely satisfied with this conclusion. I think it over simplifies to much. It totally neglects the fact that there will be energy exchange between water and air. It totally neglects that the velocity of the falling droplet must be transferred to molecular motion, it is not clear to me that this happens with 100% efficiency.
russ_watters said:...the energy required to raise a gram of water by 1 degree C is 1 joule. Potential energy is mass times height: 1g of water raised 1000m is 1 joule...
Oops - I realize that was a coincidence - I thought the SI system was designed that way. In fact, a calorie is 4.2 joule. Thanks for the correction.jdavel said:russ_waters,
That would be quite a coincidence! You meant 1 calorie to raise 1 gm 1 degree.
Gokul43201 said:Temperature is the mean kinetic energy in the rest frame of the body involved. It is defined to be independent of the motion of the body. ...
If the spacecraft were equipped with inertial navigation (all are, afaik), he'd be able to measure his change in velocity.Roger44 said:Like the man in the spacefraft mentioned above, sitting astride a molecule he would not be aware of this velocity increase. But he would feel the energy drop in the random radial motion. Wouldn't he?
madness said:If the temperature of something is a measure of the average kinetic energy of its particles then why aren't white water rapids hot?
russ_watters said:If the spacecraft were equipped with inertial navigation (all are, afaik), he'd be able to measure his change in velocity.
I'm not sure why you think that - it was meant to be and it responded to the new misconception in the post. Maybe I should have cut the part in the quotes, but...Roger44 said:Russ, that's not a serious reply.
Ok... but you did state just the opposite in the previous post: you stated that he would not be aware of the velocity increase. I was correcting that misconception.Of course he would also see the walls of the tube flying past him faster than before...
...I didn't answer that question in that most recent post of mine because I had already answered it in quite a bit of detail in my previous post. The answer is no....but that's not the question. The question is "would the average molecule he's sitting astride feel colder in the Bernoulli restriction?"
To me, "an idealized Bernoulli case" is the one Bernoulli derived and it explicitly discards the effects you are describing. Some of what you are describing is valid for more advanced versions, though. Read the wiki on Bernoulli's principle, paying specific attention to the descriptions of the two forms they describe: the compressible and incompressible flow forms.Roger44 said:Please consider it to be an idealised Bernoulli case...
Temperature is a measure of how much energy is present in the form of motion in a substance. Specifically, it is a measure of the average kinetic energy, or the energy of movement, of the particles that make up the substance.
The temperature of a substance is directly related to the movement of its particles. As the temperature increases, the particles move faster and have more kinetic energy, while a decrease in temperature results in slower particle movement and lower kinetic energy.
Yes, there is a difference between temperature and heat. Temperature is a measure of the average kinetic energy of particles, while heat is the transfer of energy from a higher temperature object to a lower temperature object. In other words, temperature is a measurement of energy, while heat is the transfer of that energy.
Temperature is typically measured using a thermometer. The most common type of thermometer is a liquid-in-glass thermometer, which contains a liquid, such as mercury or alcohol, that expands or contracts as the temperature changes, indicating the temperature on a scale.
Yes, temperature can be negative. In the Celsius and Fahrenheit scales, a temperature below 0 degrees is considered negative. This does not mean that the particles have negative kinetic energy, but rather that their energy is lower than the reference point of 0 degrees on the scale.