Calculating Tension in a Stretched String Using Wave Speed

AI Thread Summary
To calculate the tension in a stretched string, the wave speed formula v = √(F/(m/L)) is used, where v is the wave speed, F is the tension, and m/L is the linear density. Given a linear density of 0.00500 kg/m and a wave speed of 85 m/s, the equation can be rearranged to solve for tension F. It is suggested to treat the linear density as a separate variable, such as μ or λ, to simplify calculations. Proper algebraic manipulation is necessary to isolate F in the equation. Understanding the relationship between wave speed, tension, and linear density is crucial for solving this problem.
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Homework Statement



A string whose linear density is 0.00500 kg/m is stretched to produce a wave speed of 85 m/s. What tension was applied to the string.

Homework Equations



v=√(F/(m/L))


The Attempt at a Solution



v=0.00500 kg/m m/L= 85 m/s

I can't seem to re-arrange the equation properly or I am just using the wrong one to begin with.
 
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Before plugging in any numbers, use algebra to solve the v=√(F/(m/L)) formula for the tension F. [And it might help to treat the linear density (m/L) as its own variable. I'd call it μ, or maybe λ.]
 
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