A 0.5 m long titanium alloy wire has a diameter of 1.3 mm and a density of 4420 kg/m3. It is fixed at both ends and stretched with a tension of 250 N. Assuming that the initial displacement of the string is sinusoidal (zero initial velocity) as shown in Figure Q5, determine the frequency (in Hz) of the vibrating string.

A 0.5 m long titanium alloy wire has a diameter of 1.3 mm and a density of 4420 kg/m3. It is fixed at both ends and stretched with a tension of 250 N. Assuming that the initial displacement of the string is sinusoidal (zero initial velocity) as shown in Figure Q5, determine the frequency (in Hz) of the vibrating string.