Two waves traveling in opposite directions along a string fixed at both ends create a standing wave described by y(x, t) = 0.01 sin(44x)cos(1090t). The string has a linear mass density of 0.01 kg/m, and the tension in the string is supplied by a mass hanging from one end. If the string vibrates in its third harmonic, calculate the following.
(a) the length of the string