Standing waves hanging in pulley problem

AI Thread Summary
The discussion centers on calculating the theoretical wave speed using the formula vtheo = √(F_T/μ), where the mass of the string hanging over the pulley is initially neglected. A specific example is given with a 20cm string and a 100-gram mass, prompting a calculation of the percentage error in wave velocity due to this oversight. The term μ, representing linear mass density, is clarified as important for accurate calculations. Additionally, participants explore the relationship between sound velocity and string length, suggesting that length may influence tension and thus affect wave speed. Understanding these factors is crucial for precise wave velocity predictions in practical applications.
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In the calculation of the theoretical speed vtheo. = √(F_T/μ) (7), the mass associated with the length of the string hanging over the pulley was not taken into account. Suppose that the length of string hanging over the pulley is 20cm and that the hanging mass is 100 grams. What percentage error in the theoretical value of the wave velocity would result from ignoring the hanging string mass in this case?
 
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What is \mu? (check the dimension).
Why would you expect sound velocity to be dependent on length?
 

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