How Does Wire Diameter Affect Wave Speed?

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Homework Help Overview

The discussion revolves around the effect of wire diameter on wave speed in steel wires under the same tension. The original poster presents a problem involving two wires with different diameters and a known wave speed for one of them, seeking to determine the wave speed for the second wire.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between wire diameter and mass per unit length, questioning how to derive mass from diameter and tension. There are discussions about the formulas for wave speed and the volume of a cylinder, as well as the implications of using ratios of diameters.

Discussion Status

Participants are actively engaging with the problem, offering hints and guidance on how to relate mass per unit length to wire diameter. Some are attempting to clarify the concepts of linear density and volume per unit length, while others express confusion about the relationships involved. There is no explicit consensus, but several productive lines of reasoning are being explored.

Contextual Notes

Participants note the constraints of not being able to provide direct solutions or formulas, adhering to forum rules that emphasize understanding over simply obtaining answers. There is an acknowledgment of the need to derive relationships rather than relying on memorized formulas.

  • #31
I do not think you are a good teacher. I got the answer with the formula of v1/v2=d2/d1
 
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  • #32
I attempted to get you to figure the formula out because we are not permitted to merely hand out formulas and solutions. Anyone can plug into a formula and get the answer. Figuring out how to derive the formula separates the better students from the pack.
 

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