Calculate Tension of String for Ball Bearing Density of 8000kg m^-3

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The discussion revolves around calculating the tension in a string supporting a ball bearing with a mass of 180g and a density of 8000 kg/m³, while also considering the effect of the oil with a density of 800 kg/m³. The correct formula for density is emphasized, stating that density equals mass divided by volume. There is confusion regarding the volume calculation, as an incorrect result of 1440 m³ is noted, which does not align with proper unit conversions. The tension in the string is defined as the force that keeps it taut, and the discussion seeks to clarify how this tension changes when the ball bearing is immersed in oil. Accurate calculations and understanding of the principles of density and tension are crucial for solving the problem.
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I stumbled upon this question and I have no idea how to figure it out:

A ball bearings mass is 180g, it is on some string with oil that has a density of 800Kg M^-3
Calculate the tention of the string if the ball bearing had a density of 8000kg m^-3

Density= Mass/Volume

Tention = Force/Area?


Balls Volume = 0.18 Kg * 8000kg m^-3 = 1440m^3?
 
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Tension (not tention) is the force which tends to keep the string taut. If the ball bearing is tied to the string before it is put into the oil, what is the tension in the string? How does this tension change after the ball bearing is immersed in the oil?
 
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Wroxley said:
I stumbled upon this question and I have no idea how to figure it out:

A ball bearings mass is 180g, it is on some string with oil that has a density of 800Kg M^-3
Calculate the tention of the string if the ball bearing had a density of 8000kg m^-3

Density= Mass/Volume

Tention = Force/Area?
Actually, tension = force (of a string or rope)

Balls Volume = 0.18 Kg * 8000kg m^-3 = 1440m^3?
When you do the calculation you are showing above, the resulting units are kg2 m-3, which is not a volume.

Try using the equation you wrote earlier,
Density= Mass/Volume​
so
Volume = ?​
 
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