Max Mass Supported by 5.6-Diameter Suction Cup

In summary, the conversation discusses the maximum weight that can be supported by a 5.6-diameter suction cup on a vertical wall, with a coefficient of friction of 0.65 and assuming normal atmospheric pressure. The solution involves calculating the maximum force and considering the forces that will act on the cup when weight is added.
  • #1
savva
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Homework Statement


How massive an object can be supported by a 5.6 -diameter suction cup mounted on a vertical wall, if the coefficient of friction between cup and wall is 0.65? Assume normal atmospheric pressure.

Homework Equations


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The Attempt at a Solution


I calculated the maximum force which I realized was when the pressure inside the suction =0
Therefore Fmax=pA=101.3*10^3(pi(0.028^2))= 250N.

I don't know how to find the how much mass can be supported by the suction cup. I tried a number of answers and they were all wrong.
 
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  • #2


If you hook up some mass m to the cup, what forces will be acting on the cup?
 
  • #3


Turn the experiment 90 degrees in your mind so that the suction cup is resting horizontally atop the wall instead of vertically against it.
 

What is the maximum mass that can be supported by a 5.6-diameter suction cup?

The maximum mass supported by a 5.6-diameter suction cup depends on various factors such as the material of the suction cup, the surface it is being attached to, and the force of the suction. However, on average, a 5.6-diameter suction cup can support a maximum mass of approximately 2 pounds.

What is the role of the diameter in determining the maximum mass supported by a suction cup?

The diameter of a suction cup plays a crucial role in determining the maximum mass it can support. A larger diameter means a larger surface area for the suction cup to create a vacuum, resulting in a stronger hold and the ability to support more weight.

Can a 5.6-diameter suction cup support more weight than a smaller suction cup?

Yes, a 5.6-diameter suction cup can typically support more weight than a smaller suction cup due to its larger surface area and stronger hold. However, the specific weight it can support also depends on other factors such as the material and surface it is attached to.

What are some common applications of a 5.6-diameter suction cup?

A 5.6-diameter suction cup can be used in various applications, such as hanging lightweight objects on smooth surfaces, attaching hooks or holders in bathrooms or kitchens, and as a tool in scientific experiments for holding small items in place.

Are there any safety precautions to consider when using a 5.6-diameter suction cup?

Yes, there are a few safety precautions to keep in mind when using a 5.6-diameter suction cup. It is important to ensure that the surface it is being attached to is clean and smooth for maximum suction. Additionally, always test the suction cup's strength before placing valuable or delicate items on it to avoid any accidents.

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