In the given wave equation, Y = 5sin(3x - 4), we can identify the frequency, period, speed of the wave, and amplitude as follows:
Frequency: The frequency (f) of a wave is the number of cycles or oscillations that occur per unit of time. In this case, the frequency can be determined by examining the coefficient of x in the equation. The coefficient of x is 3, which indicates that the wave completes 3 cycles within a distance of 2π (one full cycle). Therefore, the frequency is 3.
Period: The period (T) of a wave is the time it takes to complete one full cycle. It is the reciprocal of the frequency (T = 1/f). In this case, the frequency is 3, so the period can be calculated as T = 1/3.
Speed of the wave: The speed (v) of a wave is the rate at which the wave propagates through a medium. It is determined by the product of the wavelength (λ) and the frequency (v = λf). However, in the given equation Y = 5sin(3x - 4), the wavelength is not explicitly provided. Without the wavelength information, we cannot calculate the speed of the wave.
Amplitude: The amplitude (A) of a wave represents the maximum displacement or height of the wave from its equilibrium position. In this case, the amplitude is given as 5 in the equation Y = 5sin(3x - 4).
To summarize:
- Frequency (f): 3
- Period (T): 1/3
- Speed of the wave (v): Not determinable without the wavelength information
- Amplitude (A): 5