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 m
2 m
3 m
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.
