The relationship between diameter and mass per length in a steel wire is directly influenced by the wire's cross-sectional area, which is proportional to the square of the diameter. Given a density of 7860 kg/m³ for steel, the mass per unit length (m/L) can be calculated using the formula m/L = density × cross-sectional area. For a wire with a larger diameter, the mass per length increases due to the larger cross-sectional area, confirming that a thicker wire will indeed have a greater mass per length.
PREREQUISITESStudents in physics or engineering disciplines, particularly those focusing on mechanics and material science, will benefit from this discussion. Additionally, anyone involved in the design or analysis of wire-based structures will find this information relevant.
I'm sorry I really don't understand what you're aiming at. Does it have to do with the m^3?Nathanael said:m/L ≠ 7860 (check the dimensions)
You were given the mass per volume, but you want to know the mass per length. You used the mass per volume where you should have used the mass per length.nesan said:I'm sorry I really don't understand what you're aiming at. Does it have to do with the m^3?
Consider a steel wire with a larger diameter. (They are both steel, so the density is the same.) Which one will have the larger mass per length? Or will it be the same? And why?nesan said:I know it's mass per unit length but how would I go from 7860 kg / m^3 to what I need? Thank you.