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

  • Thread starter Wroxley
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In summary, the conversation discusses the calculation of tension in a string holding a ball bearing with a certain density. The formula for density and tension is mentioned, and the volume of the ball bearing is calculated using the given information. The importance of using the correct units in the calculation is also emphasized.
  • #1
Wroxley
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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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  • #2
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?
 
  • #3
Welcome to Physics Forums.

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 = ?​
 

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

How is tension calculated for a string with a ball bearing of density 8000kg/m^-3?

The tension of a string with a ball bearing can be calculated using the formula T = (m1 + m2)g, where T is the tension, m1 is the mass of the string, m2 is the mass of the ball bearing, and g is the acceleration due to gravity (9.8 m/s^2). The density of the ball bearing is not directly used in this calculation, but the mass can be determined by multiplying the density by the volume of the ball bearing.

What units should be used for the calculation of tension?

The units for the calculation of tension depend on the units used for the mass and acceleration due to gravity. Generally, the mass is measured in kilograms (kg) and the acceleration due to gravity is measured in meters per second squared (m/s^2). Therefore, the units for tension would be in newtons (N), as 1 N = 1 kg * m/s^2.

How does the density of the ball bearing affect the tension of the string?

The density of the ball bearing does not directly affect the tension of the string. However, the mass of the ball bearing, which is determined by the density, does play a role in the calculation of tension. A denser ball bearing would have a higher mass, resulting in a higher tension on the string.

What other factors may affect the tension of the string with a ball bearing?

Apart from the mass of the string and the ball bearing, other factors that may affect the tension of the string include the length and thickness of the string, the angle at which the string is attached, and external forces acting on the string such as wind or friction.

Is the calculated tension the same for all types of strings?

No, the calculated tension may vary depending on the type of string used. Different types of strings have different levels of elasticity, which can affect the tension. Other factors such as the material and thickness of the string may also impact the calculated tension.

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