Finding tension given densities?

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In summary, a filled balloon with a radius of 0.474 m and a density of 0.185 kg/m3 will have a tension in the attached line when the weight of the displaced air is calculated and subtracted from the weight of the balloon. However, this calculation did not work and further assistance is needed.
  • #1
LOannie234
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An empty rubber balloon has a mass of
0.0132 kg . The balloon is filled with helium
at a density of 0.185 kg/m3
At this density .
the balloon has a radius of 0.474 m .
If the filled balloon is fastened to a vertical
line, what is the tension in the line? The
acceleration of gravity is 9.8 m/s^2

I calculated the Weight of the displaced Air = Volume of Sphere shaped balloon x Density of Air x g

AIr Density = 1.29 kg/m^3
Volume of Sphere = (4/3) pi r^3
r= 0.474mand then subtracted the weight of the balloon = Mass of Balloon x g = 0.0132 Kg x 9.8 m/S^2
and it didnt work... :( any help would be awesome!
 
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  • #2
helium has mass.
 

1. What is tension and how is it related to density?

Tension refers to the amount of force applied to an object. It is directly related to density as the amount of tension an object experiences is influenced by its density.

2. How is tension calculated given densities?

Tension can be calculated by multiplying the density of an object by the acceleration due to gravity and the volume of the object. The formula for tension is T = ρgh, where T is tension, ρ is density, g is acceleration due to gravity, and h is the height or depth of the object.

3. What are the units for tension and density?

Tension is typically measured in Newtons (N) or pounds (lbs), while density is measured in kilograms per cubic meter (kg/m3) or grams per cubic centimeter (g/cm3).

4. Can tension be negative or zero?

No, tension is a force and therefore cannot be negative or zero. It is always a positive value.

5. How can finding tension given densities be applied in real life?

This concept is often used in engineering and construction to ensure the structural integrity of buildings and bridges. It is also important in understanding the buoyancy of objects in water and air. In medical applications, it can help determine the tension on various tissues and organs in the body.

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