A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). If A = 2 m, k = 3 rad/m, and ω = 6 rad/s, what is the amplitude of the wave?
Practice Questions
1 question
Q1
A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). If A = 2 m, k = 3 rad/m, and ω = 6 rad/s, what is the amplitude of the wave?
1 m
2 m
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The amplitude of the wave is given directly by A in the wave equation. Here, A = 2 m.
Questions & Step-by-step Solutions
1 item
Q
Q: A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). If A = 2 m, k = 3 rad/m, and ω = 6 rad/s, what is the amplitude of the wave?
Solution: The amplitude of the wave is given directly by A in the wave equation. Here, A = 2 m.
Steps: 4
Step 1: Identify the wave equation given in the question, which is y(x, t) = A sin(kx - ωt).
Step 2: Look for the variable A in the equation. This variable represents the amplitude of the wave.
Step 3: Check the value of A provided in the question. Here, A = 2 m.
Step 4: Conclude that the amplitude of the wave is equal to the value of A, which is 2 m.
