What will be the speed of the wave on this string?

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SUMMARY

The speed of a wave on a string can be calculated using the formula \( v = \sqrt{\frac{T}{\mu}} \), where \( T \) is the tension in the string and \( \mu \) is the linear density. In this case, with a linear density of 26.9 g/m (0.0269 kg/m) and a tension of 57.9 N, the wave speed is determined to be approximately 45.5 m/s. This calculation is essential for understanding wave dynamics in physics and engineering applications.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with the wave equation
  • Basic knowledge of tension and linear density
  • Ability to perform square root calculations
NEXT STEPS
  • Study the derivation of the wave equation in detail
  • Explore the effects of varying tension on wave speed
  • Learn about different types of waves on strings and their properties
  • Investigate applications of wave speed calculations in engineering
USEFUL FOR

Students in physics, educators teaching wave mechanics, and engineers involved in materials science and acoustics will benefit from this discussion.

brandon26
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:confused: Suppose you have a string with a linear density of 26.9g/m. A tension of 57.9 N is applied to this string. What will be the speed of the wave on this string?
 
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Suppose you show us some of your work first? :)
 
What have you done so far? Or at least what are your thoughts on where you could possibly start?
 
If I knew where to start, or if I have done some working, would I be here?
 
Google "the wave equation"
 
brandon26 said:
If I knew where to start, or if I have done some working, would I be here?

I refuse to believe you are totally clueless. Do you have a textbook? Do you listen during lecture? Do you take notes?
 

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