Final answer:
The frequency of the wave is 132 Hz, the wavelength is approximately 1.97 m, and the speed is approximately 260.64 m/s.
Step-by-step explanation:
The given wave is represented by the equation D(x,t) = (3.5cm)sin(3.2x−132t), where x is in m and t is in s.
The frequency of a wave can be determined by the coefficient of t in the equation. In this case, it is 132. Therefore, the frequency of this wave is 132 Hz.
The wavelength of a wave can be calculated using the formula: wavelength = 2π / wave number. The wave number can be obtained from the coefficient of x in the equation. In this case, it is 3.2. Therefore, the wavelength of this wave is approximately 1.97 m.
The speed of a wave can be calculated using the formula: speed = frequency x wavelength. In this case, the frequency is 132 Hz and the wavelength is 1.97 m. Therefore, the speed of this wave is approximately 260.64 m/s.