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A wave traveling along a string is described by the equation y(x, t) = A sin(kx

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Question: 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?

Options:

  1. 1 m
  2. 2 m
  3. 3 m
  4. 4 m

Correct Answer: 2 m

Solution: 

The amplitude of the wave is given directly by A in the wave equation. Here, A = 2 m.

A wave traveling along a string is described by the equation y(x, t) = A sin(kx

Practice Questions

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. 1 m
  2. 2 m
  3. 3 m
  4. 4 m

Questions & Step-by-Step Solutions

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?
  • 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.
  • Wave Properties – Understanding the parameters of a wave equation, particularly the amplitude, which is the maximum displacement from the rest position.
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