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A wave traveling along a string is described by the equation y(x, t) = A sin(kx
A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). What is the phase velocity of the wave?
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Q1
A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). What is the phase velocity of the wave?
A/k
ω/k
k/ω
Aω
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The phase velocity v is given by v = ω/k.
Questions & Step-by-step Solutions
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Q
Q: A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). What is the phase velocity of the wave?
Solution:
The phase velocity v is given by v = ω/k.
Steps: 5
Show Steps
Step 1: Identify the wave equation given, which is y(x, t) = A sin(kx - ωt).
Step 2: Recognize that in the equation, k represents the wave number and ω represents the angular frequency.
Step 3: Understand that the phase velocity (v) of a wave is the speed at which a point of constant phase travels.
Step 4: Use the formula for phase velocity, which is v = ω/k.
Step 5: Substitute the values of ω and k from the wave equation into the formula to find the phase velocity.
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