Final answer:
To calculate the linear mass density of the cord, use the formula: linear density = mass / length. For a sinusoidal wave, the angular frequency and amplitude can be determined from the wave equation. The speed of the wave on the string can be found using the formula: wave speed = square root of (tension / linear density).
Step-by-step explanation:
To calculate the linear mass density of the cord, we can use the formula: linear density = mass / length. In this case, the mass is given as 0.070 kg and the length is 2.00 m, so the linear density is 0.035 kg/m.
Since the wave is sinusoidal, the angular frequency and amplitude are given. The wave equation is y(x, t) = A sin(kx - wt). From this equation, we can determine the wave number and angular frequency. Using the given wave equation, the wave number is 6.00 m⁻¹ and the angular frequency is 24.00 s⁻¹.
The speed of the wave on the string can be found using the formula: wave speed = square root of (tension / linear density). Unfortunately, the tension of the cord is not given, so we cannot calculate the speed of the wave at this time.