Finding Velocity of Traverse Wave on String Using Dimensional Analysis

AI Thread Summary
The discussion centers on understanding the relationship between the velocity of a traverse wave on a string and its tension and mass per length. The user seeks clarification on the units for "mass per length," ultimately confirming it is kg/m. They express confidence in their grasp of dimensional analysis but initially struggle with the concept of units versus dimensions. The conversation highlights the importance of distinguishing between these terms in physics. Overall, the thread emphasizes the significance of proper unit identification in solving physics problems.
pinsickle
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Homework Statement


The velocity of a traverse wave traveling along a string depends on the tension of the string, F, which has units of force, and its mass per length unit u.
Assume v = F^x * u^y. The values may be found using dimensional analysis.


Homework Equations


I am pretty sure I understand dimensional analysis. I just don't know what the units are for "mass per length" . I am assuming that the Force is in Newtons (kg * m /s^2) and I know velocity is (m/s). Sorry for the goofy question but I'm still waiting on my book to come in from Amazon and I can't to find an answer on Google for mass per length. Thanks


The Attempt at a Solution


I don't want help with solving the problem itself. I am just wondering what mass per unit length means so I can solve the question.
 
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Nevermind I just figured out it is kg/m
 
pinsickle said:
Nevermind I just figured out it is kg/m

They are distinguishing between "units" and "dimensions" -- for example, velocity has dimensions length/time no matter what system of units you use. But yes, it's easier just to put the units in.
 

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