A force exerted on a plastic ball in a rubber tube

In summary, the force needed to remove a plastic ball from a rubber tube depends on the elasticity of the materials and the coefficient of friction between them. The size of the hole is not as important as the properties of the rubber. Engineering diagrams and detailed information about material moduli and coefficients of friction are necessary to accurately determine the force needed. The diameter of the tube can expand when compressed and shrink when stretched, making it easier to push a ball through than to pull it out.
  • #1
Lidor
3
0
Hello,
How can I calculate the force that must be exerted on a ball inside a rubber tube?

Thanks
 
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  • #2
With a problem specification that vague, you can't. Is this a homework question? If so, repost in the homework section and answer the questions in the template (provide the exact question, for starters). If not, explain what you want to do with the ball.
 
  • #3
Diameter plastic ball - 11mm
Diameter rubber tube - 10.5mm
Length rubber tube - 15mm

the plastic ball is stack in the rubber tube,
What is the force you need to exert to get the plastic ball out of the rubber tube?
 
  • #4
Depends on how elastic the rubber tube and ball are, what the coefficient of friction between the two is, how far in the ball is, and probably other things I haven't thought of. It probably also matters how you are planning to apply the force - blowing into the other end of the pipe, squeezing it out like peristalsis or just grabbing the thing and pulling.

I suspect this is one of those situations that's way too complex to model with basic physics. I'd suggest reporting your opening post (there'a a link at the bottom of it) and asking for the thread to be moved to one of the engineering forums. This is the kind of thing they might have data tables for, compiled from practical experience rather than derived from physical theory.
 
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Likes russ_watters
  • #5
Put some soapy water in the tube to try to reduce the friction.
 
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Likes russ_watters and sophiecentaur
  • #6
@Lidor This could be a very hard problem because any force on the tube will change its bore size - whether you are pushing or pulling it. Have you tried any experimentation?
 
  • #7
sophiecentaur said:
experimentation

yes indeed,
I'll be more precise
Suppose I have a circular gasket with a ball bearing and between them there is a minimum friction (for example, a 11 mm diameter ball and an inner diameter gasket of 10.5 mm)
What force do I have to exert in order for the ball to pass through the gasket?
I would also love to have guidance on what study material I should read

Thanks
 
  • #8
Lidor said:
yes indeed,
I'll be more precise
Suppose I have a circular gasket with a ball bearing and between them there is a minimum friction (for example, a 11 mm diameter ball and an inner diameter gasket of 10.5 mm)
What force do I have to exert in order for the ball to pass through the gasket?
I would also love to have guidance on what study material I should read

Thanks
It depends as @Ibix said. The ball has to get smaller or the gasket bigger. That depends on elasticity: how much force to you need to make it smaller or bigger? That depends on the rubber. Soft rubber needs little force. Hard rubber needs a lot of force.

So the size of the hole is not as important as the properties of your rubber.
 
  • #9
. . . . . and the materials and dimensions of the tube; how much is the gasket compressed in order to accommodate the ball?
Engineering diagram required plus a lot of details about the moduli of the materials and the coefficient of friction between the two surfaces.
 
  • #10
Lidor said:
What is the force you need to exert to get the plastic ball out of the rubber tube?
Notice how a plastic or rubber hose can be pushed onto a hard tube connector, but cannot be pulled off as easily. That is because the tube diameter expands when compressed and shrinks when stretched length-ways. The opposite is true when the soft tube passes inside a restriction, it cannot be pushed in easily, but it is easy to pull the tube out.

You can blow a ball through a tight tube as the pressure expands the tube away from the ball as the ball moves forward, But you cannot suck the ball through, as the tube shrinks against the front of the ball.
 
  • Informative
Likes anorlunda

1. What is the force exerted on a plastic ball in a rubber tube?

The force exerted on a plastic ball in a rubber tube is the result of the pressure exerted by the rubber tube on the surface of the ball. This force is caused by the elastic properties of the rubber material and can be calculated using the formula F = kx, where k is the spring constant and x is the displacement of the rubber tube.

2. How does the force exerted on a plastic ball in a rubber tube affect the ball's motion?

The force exerted on the plastic ball in the rubber tube will cause the ball to accelerate in the direction of the force. This acceleration will depend on the magnitude of the force and the mass of the ball. The ball will continue to move in this direction until the force is removed or balanced by an equal and opposite force.

3. Can the force exerted on a plastic ball in a rubber tube be changed?

Yes, the force exerted on the plastic ball in the rubber tube can be changed by altering the properties of the rubber tube, such as its thickness or elasticity. The force can also be changed by adjusting the displacement of the rubber tube.

4. What factors can affect the force exerted on a plastic ball in a rubber tube?

The force exerted on the plastic ball in the rubber tube can be affected by several factors, including the properties of the rubber material, the displacement of the rubber tube, and the mass of the ball. Other factors such as temperature and external forces may also have an impact on the force exerted on the ball.

5. What are some real-world applications of the force exerted on a plastic ball in a rubber tube?

The force exerted on a plastic ball in a rubber tube has many practical applications, such as in pneumatic systems, where air pressure is used to move objects. It is also used in sports equipment, such as in the bounce of a basketball or the tension in a tennis racket. Additionally, this force is important in understanding the mechanics of fluid-filled organs in living organisms.

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