College

Find the mass per unit length for a violin string if a force of 110 N is exerted on the ends of the string in order for a wave to travel at the speed of 128 m/s.

Answer :

Final answer:

The mass per unit length of the violin string is 0.859 kg/m.

Explanation:

To find the mass per unit length of the violin string, we can use the formula μ = T/v, where μ is the mass per unit length, T is the tension in the string, and v is the wave speed.

In this case, the given force of 110N is equivalent to the tension in the string. The wave speed is given as 128 m/s.

Substituting the values into the formula, we have:

μ = T/v = 110N / 128 m/s = 0.859 kg/m

Therefore, the mass per unit length of the violin string is 0.859 kg/m.

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