Waves on a String Video Lessons

Concept

# Problem: 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 stretch the wire to twice its original length?B. What will be the speed of these waves (in terms of V) if we increase M by a factor of 10.0, which stretches the wire to double its original length?

###### FREE Expert Solution

Speed of wave on a wire of length L and mass M is:

$\overline{){\mathbf{v}}{\mathbf{=}}\sqrt{\frac{\mathbf{M}\mathbf{g}\mathbf{L}}{\mathbf{m}}}}$

A.

If the length is stretched two times:

v' = sqrt[(Mg(2L)/m]

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###### Problem Details

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 stretch the wire to twice its original length?

B. What will be the speed of these waves (in terms of V) if we increase M by a factor of 10.0, which stretches the wire to double its original length?