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A string of linear density 1.60g/m is stretched between clamps 48.0cm apart. The string does not stretch appreciably as the tension in it is steadily raised from 15.0N at t = 0 to 25.0 N at t = 3.5s. Therefore, the tension as a function of time is given by the expression T=15.0 + 10.0t/3.5, where T is in newtons and t is in seconds. The string is vibrating in its fundamental mode throughout this process. Find the number of oscillations it completes during the 3.5s interval.

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