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

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In a pressurized cylinder containing a sphere, the sphere can spin against the wall due to zero friction. If air friction is present and a valve is opened, the sphere is expected to spin clockwise if positioned on the left side of the valve and counterclockwise if on the right. If the sphere perfectly plugs the cylinder, it will experience unequal pressure as gas is released, potentially causing it to be pushed to the opposite side or block the hole. The sphere is constrained to spin about its axis and cannot roll, but it will spin if it feels a consistent force from the gas. Overall, the dynamics of air friction and pressure differentials play a crucial role in the sphere's motion.
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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