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DennisG
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set up a differential equation to represent 2 tons of salt entering a 20 ton tank of water each minute while 2 tons of the mixture are drained each minute
Modelling Salt and Water Flow in a Tank
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A differential equation is established to model the flow of salt and water in a tank, where 2 tons of salt enter a 20-ton tank of water each minute, while 2 tons of the mixture are drained simultaneously. The equation is represented as \frac {d}{dt} \frac {S^2 + W^2}{S+W} = \dot S, with W(t) indicating the water amount and S representing the salt amount, calculated as S = S_0 + \dot S \times t. The discussion also touches on uncertainty regarding the setup, with participants questioning the validity of their approaches. Clarification on the modeling process is sought, emphasizing the importance of accurate representation in differential equations. Overall, the conversation highlights the complexities involved in modeling fluid dynamics in a tank system.
Here is what I tried
This question was actually asked in one of our engineering entrances.
The answer was 1D.
My teachers say that we have to use μₘ/fₘ to get to this answer. I cannot understand why. I'll be really glad if you could tell me the exact definition of power (numerically) that works in all scenarios.
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance)
My thoughts for the first case , one of them must be 12 volt while the other is 0
The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
The answer to this question is statements (ii) and (iv) are correct.
(i) This is FALSE because the speed of water in the tap is greater than speed at the water surface
(ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not?
(iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
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