Answer:
Step-by-step explanation:
The wave equation can be written as D(x,t) = Asin(kx - wt + φ), where A is the amplitude, k is the wave number, w is the angular frequency, and φ is the phase constant. The direction of wave propagation is determined by the sign of the wave number, which is given by k = 2π/λ, where λ is the wavelength. In this case, the wave number is positive, which means that the wave is traveling in the positive x-direction.
Answer: a. in the positive x-direction
The wave speed is given by v = λf, where λ is the wavelength and f is the frequency. The wavelength can be determined from the wave number as λ = 2π/k. Therefore, the wave speed is v = f(2π/k). From the equation given, we can see that the wavelength is λ = 8.4 m. Using the relation k = 2π/λ, we get k = 2π/8.4 = 0.75 m^(-1). The frequency is given by f = w/(2π), where w is the angular frequency. From the equation given, we can see that w = 2π/0.24 = 26.18 rad/s. Therefore, the frequency is f = 26.18/(2π) ≈ 4.17 Hz. Substituting these values, we get v = 8.44.17 ≈ 35.03 m/s.
Answer: 35.03 m/s
The frequency is f = w/(2π), where w is the angular frequency. From the equation given, we can see that w = 2π/0.24 = 26.18 rad/s. Therefore, the frequency is f = 26.18/(2π) ≈ 4.17 Hz.
Answer: 4.17 Hz
The wave number is given by k = 2π/λ, where λ is the wavelength. From the equation given, we can see that the wavelength is λ = 8.4 m. Substituting this value, we get k = 2π/8.4 = 0.75 m^(-1).
Answer: 0.75 m^(-1)