Will a Sphere Spin in a Pressurized Cylinder with Air Friction?

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    Cylinder Friction
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Discussion Overview

The discussion revolves around the behavior of a sphere spinning in a pressurized cylinder when air friction is present. Participants explore the dynamics of the sphere's motion in relation to the release of gas from the cylinder and the effects of friction between the sphere and the air.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the sphere will spin when the valve is opened, implying a direct relationship between gas release and the sphere's motion.
  • Another participant posits that the direction of spin depends on the sphere's position relative to the valve, indicating it will spin clockwise if on the left side and counterclockwise if on the right side.
  • A different viewpoint emphasizes that if the sphere perfectly plugs the cylinder, it will experience unequal pressure as gas is released, potentially leading to a drag that affects its motion.
  • One participant clarifies that the sphere is constrained to spin about its axis and cannot roll along the x-axis.
  • Another participant notes that while friction against the gas is low, the presence of a one-directional force will still result in the sphere spinning.

Areas of Agreement / Disagreement

Participants express differing views on the conditions under which the sphere will spin, particularly regarding the effects of its position relative to the valve and the nature of friction with the gas. No consensus is reached on the specific outcomes of the scenario.

Contextual Notes

Participants do not fully explore the implications of the frictional forces involved or the precise mechanics of gas dynamics in relation to the sphere's motion. Assumptions about the sphere's interaction with the gas and the nature of the pressurization are not fully defined.

Agnostic
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See the below diagram.



It is a highly pressurized cylinder containg a sphere that does not allow air to escape, but will freely spin against the wall because there is zero friction between the two.

If there is friction between the air and the sphere, will the ball spin clockwise if valve is opened.
 

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Agnostic said:
will the ball spin clockwise if valve is opened.

I think it will spin clockwise if the ball is on the left side of the open valve and counterclockwise if it is on the right side of the valve.
If the ball plugs the cylinder perfectly so that gas cannot travel around it, then you should expect that as gas is released the ball will feel an unequal pressure and will either be pushed to the other side of the valve, at which point it will begin to feel a drag in the opposite direction, or it will plug the hole. (I think the latter is more likely.)
 
The ball is bound about its axis so it can only spin about its axis. It can not roll to change in position on what would be the x-axis.
 
In that case, if you consider it frictionless against the container but frictional against a gas, then yes, it would spin. Keep in mind the friction against a gas is very low, but as long as it feels a one-directional force, it will spin.
 

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