A long string is moved up and down with simple harmonic motion with a frequency of 46 Hz. The string is 579 m long and has a total mass of 46.3 kg. The string is under a tension of 3423 and is fixed at both ends. Determine the velocity of the wave on the string. What length of the string, fixed at both ends, would create a third harmonic standing wave

a)  

b)  

Explanation:

From the question we are told that:

Frequency

Length

Total Mass

Tension

a)

Generally the equation for velocity is mathematically given by

Where

Therefore

b)

Generally the equation for length of string is mathematically given by

Where

Therefore

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explanation: