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1 The vertical displacement D of a very long string as a function of horizontal position x and time I is given by D = 2 sin (6x + 1500x1 - %), where D is in centimeters, ar is in m and is in seconds. The displacement of the string is -0.6 cm at x - 1/6 m and/-0. A 2 m length of this string has a mass of 2.5 g. Determine: a) the direction of propagation; b) the amplitude of the waves, e) the frequency of the waves, d) the wavelength: c) the speed of the waves on the string; the maximum speed of the string; the mass per unit length of the string h) the tension in the string: i) the phase constant : the power conducted by the waves.
1c) 750 Hz d) 0.333 m e) 250 m/s f) 94.2 m/s g) 1.35 g/m h) 78.1 N i) 3.446 rad ]) 1.39 kW