Question

A guitar string is vibrating in its fundamental mode, with nodes at each end. The length...

A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.389 m . The maximum transverse acceleration of a point at the middle of the segment is 9000 m/s2 and the maximum transverse velocity is 3.00 m/s .

Part A

What is the amplitude of this standing wave?

Part B

What is the wave speed for the transverse traveling waves on this string?

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Answer #1

Concept - use the equation for maximum acceleration and maximum velocity to find the angular frequency and use that to find the amplitude as shown below

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