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In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
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In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
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'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.
Questions & Step-by-step Solutions
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Q: In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
Solution:
'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.
Steps: 6
Show Steps
Step 1: Understand that the wave equation is a mathematical way to describe waves.
Step 2: Look at the equation y(x, t) = A sin(kx - ωt).
Step 3: Identify the letter 'A' in the equation.
Step 4: Know that 'A' is a number that tells us how far the wave moves from its rest position.
Step 5: This distance is called the amplitude of the wave.
Step 6: The amplitude is the highest point the wave reaches above the rest position and the lowest point it goes below the rest position.
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