The equation y = 4 + 2 sin (6t – 3x) represents a wave motion withamplitude 6 unitsamplitude 4 unitswave speed 2 unitswave speed 1/2 units
Question
The equation
represents a wave motion with:
- amplitude 6 units
- amplitude 4 units
- wave speed 2 units
- wave speed units
Solution
The equation y = 4 + 2 sin (6t – 3x) represents a wave motion.
-
The amplitude of the wave is the coefficient of the sine function, which in this case is 2. So, the amplitude is not 6 units or 4 units.
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The wave speed is determined by the coefficient of x in the argument of the sine function. Here, the coefficient of x is -3. However, wave speed is always considered as a positive quantity. So, the wave speed is 3 units, not 2 units or 1/2 units.
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