How Does Mathematics Explain the Mechanism of a Cartesian Diver?

  • Thread starter Thread starter crazykartman69
  • Start date Start date
  • Tags Tags
    Cartesian Works
AI Thread Summary
The Cartesian diver operates based on the principles of pressure and volume as described by the equation P1*V1=P2*V2, reflecting the behavior of gases in a closed system. When pressure is applied to the bottle, it compresses the air inside the diver, causing the volume of air to decrease and the density of the diver to increase. As the density surpasses that of water, the diver sinks. The discussion also raises questions about the relative air pressure inside the container compared to the external environment before pressure is applied. Understanding these mathematical relationships is key to explaining the mechanism of a Cartesian diver.
crazykartman69
Messages
1
Reaction score
0
i would like to know how a cartesian diver works using mathematics. I have found how the diver works using words and explanation but not using equations and math. Please HELP!
 
Physics news on Phys.org
P1*V1=P2*V2 Since you basically have a closed system (the diver plus the water bottle) by applying pressure on the bottle, you are effectively transferring this pressure to the cartesian diver. This is because water is pretty much uncompressible. So, because the pressure is increased, the volume of air must decrease. Because we have a closed system, the water goes into the void created by the compressed air, the density increases until it is greater than that of water and it sinks.
 
Hey I am new here and i also need help on the Cartesian Diver. I was just wondering if The air pressure is the same, less than, much less than, greater or much greater than the air pressure outside of the bottle or container before pressure is applied to the container.
 
The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
Thread 'Beam on an inclined plane'
Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
Back
Top