What affects the linear mass density of a string?

In summary, increasing the diameter of a string will increase the linear mass density as there will be more mass per unit length. Other factors that can affect the linear mass density include the material used, temperature, and whether the string is being stretched. It is unclear whether the question refers to increasing the diameter from the inside or outside.
  • #1
Samurai44
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I had this question : if a diameter of a string is increased , how will the linear mass density(u) value changes ?
the answer was it will increase because mass will increase , but how the mass has increased ?

so what other factors affect the linear mass density ?* μ=T/ λ2 f2
 
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  • #2
Is it not just as simple as: larger diameter -> more material per unit length -> more mass per unit length? Some other factors that affect the linear density could be the material used, temperature of the string, whether the string is being stretched.

I'm not sure whether your question refers to increasing the diameter by (somehow) adding more material inside the string, or to increasing the diameter from the outside.
 

1. What is linear mass density?

Linear mass density is the measure of the mass per unit length of a string. It is typically denoted by the symbol μ (mu) and is measured in units of kilograms per meter (kg/m).

2. How does tension affect the linear mass density of a string?

Tension is one of the main factors that affects the linear mass density of a string. As tension increases, the linear mass density also increases. This is because the higher the tension, the more stretched out the string becomes, resulting in a higher mass per unit length.

3. What role does the material of the string play in its linear mass density?

The material of the string also plays a significant role in determining its linear mass density. Different materials have different densities, so a string made of a denser material will have a higher linear mass density compared to a string made of a less dense material.

4. Does the length of the string affect its linear mass density?

Yes, the length of the string does affect its linear mass density. As the length of the string increases, the linear mass density decreases. This is because the same amount of mass is spread out over a longer distance, resulting in a lower mass per unit length.

5. How does temperature impact the linear mass density of a string?

Temperature can also affect the linear mass density of a string. As the temperature increases, the linear mass density decreases. This is because as the temperature rises, the string expands and becomes less dense, resulting in a lower mass per unit length.

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