How Does Doubling the Mass Affect Wave Speed on a Wire?

AI Thread Summary
Doubling the mass M hanging from a vertical wire increases the tension in the wire, which affects wave speed. The wave speed is determined by the formula v = √(T/μ), where T is tension and μ is mass per unit length. Increasing the mass results in greater tension, leading to a new wave speed. The correct relationship for wave speed when mass is doubled is v = √2 * V, not just √2. Clarification on terminology, such as "rad 2" versus "root 2," is also discussed.
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Homework Statement



When a mass M hangs from a vertical wire of length L, waves travel on this wire with a speed V.

a) What will be the speed of these waves in terms of V if we double M without stretching the wire?

V=?

Good morning, could someone please tell me why my answer of rad 2 is wrong. I thought i was on the right track.


Homework Equations



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The speed of a wave along a stretched string depends on the tension in the string and the mass per unit length.

v = √(T/μ) where T = tension in the string and μ = mass per unit length.
Can you get it from this??
What do you mean by rad2...
 
Do you mean root2 (√2) ?
 
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