Not sure how to start this problem hint please

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Homework Help Overview

The problem involves a rubber balloon filled with helium, focusing on the forces acting on it when suspended. The subject area pertains to buoyancy and forces in fluid mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between tension, buoyant force, and gravity. Questions arise regarding the appropriate equations to use and the definitions of the forces involved.

Discussion Status

Participants are exploring the forces acting on the balloon, including gravity, buoyancy, and tension. Some guidance has been offered regarding the buoyant force and its calculation, but multiple interpretations of the setup and equations are still being discussed.

Contextual Notes

There is uncertainty about which volume to use for the buoyant force calculation, and participants are considering the implications of the balloon's density and the surrounding fluid's density.

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An empty rubber balloon has a mass of 0.0135 kg. The balloon is filled with helium at a density of 0.181 kg/m3. At this density the balloon is spherical with a radius of 0.300 m. If the filled balloon is fastened to a vertical line, what is the tension in the line?

I don't even know what equation to use...! AHH
 
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HINT: It's a question about buoyancy.
 
is the tension equal to the force?
 
yes, but there are several forces involved here. ...
all dealing with one Volume.
 
Yes. The buoyant force is balanced by the tension in the string.
 
so would i use the equation B=density(fluid) x volume(fluid) x g?
 
Yes, substitute it in your [itex]\sum F_{y} = 0[/itex]
 
so it would be Density(Helium) x what volume? x 9.81 ?
 
The forces acting on the balloon are gravity force, buoyant force and the tension in the line.

The buoyant force is applied by air of the atmosphere.

Buoyant force is equal to the weight of the displaced volume of the fluid.
 

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