Evaluate the solution:
A friend proposes a solution for the folowing problem.
A violin A string is 0.33 m long and has mass 0.30 x 10^-3 kg. It vibrates a fundamental frequency of 440 Hz (concert A). What is the tension in the string?
Proposed solution: Speed depends on the tension and string mass (v = [T/m]^1/2). Thus:
T = v^2 m = (340 m/s)^2 (0.30g) = 34.680 N.
a. Evaluate the solution and identify any errors.
b. Provide a corrected solution if you find errors.

Tension, T = 105.09 N

Explanation:

Given that,

Length of the string, l = 0.33 m

Mass of the string,

Fundamental frequency, f = 440 Hz

The expression for the speed in terms of tension is given by :

So, the tension in the string is 105.09 N.

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