By what percent must one increase the tension in a guitar string to change the speed of waves on the string from 328 m/s to 363 m/s?
show your work and the equations you used.

22.47 %

Explanation:

v 1 = 328 m/s, v 2 = 363 m/s

We know that the velocity of a wave in a stretch string is directly proportional to the square root of the tension in the string.

Percentage increase in the tension

                                                  = \left ( \frac{1}{0.8165}-1 \right )\times 100

                                                 = 22.47 %