Final answer:
When two sinusoidal waves of the same frequency are sent in the same direction, they can interfere constructively or destructively. The resulting wave depends on the phase difference between the two waves.
Step-by-step explanation:
When two sinusoidal waves of the same frequency are sent in the same direction, they can interfere constructively or destructively. If the waves are in phase, they will interfere constructively, resulting in a wave with an amplitude equal to the sum of the individual waves' amplitudes. If the waves are out of phase by a half of a period (180 degrees), they will interfere destructively, resulting in a wave with an amplitude of zero.
The period of a wave is the time it takes for one complete cycle, while the wavelength is the distance between two adjacent points in phase. The amplitude is the maximum displacement of the wave from its equilibrium position. The phase shift is the horizontal displacement of the wave.
In the given wave equation YR (x, t) = 0.35 cm sin (6.28 m¯¹x – 1.57 s¯¹t+), the period, wavelength, amplitude, and phase shift can be determined. The coefficient in front of the x term represents the wave number and the coefficient in front of the t term represents the angular frequency.