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). What does 'A' represent?
Wavelength
Amplitude
Frequency
Speed
Questions & Step-by-Step Solutions
A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). What does 'A' represent?
Correct Answer: Amplitude of the wave
Step 1: Look at the wave equation given: y(x, t) = A sin(kx - ωt).
Step 2: Identify the different parts of the equation. 'A' is one of these parts.
Step 3: Understand what 'A' represents in the context of waves.
Step 4: 'A' is known as the amplitude of the wave.
Step 5: The amplitude is the maximum height or distance the wave reaches from its rest position (equilibrium).
Step 6: Therefore, 'A' tells us how strong or intense the wave is based on its maximum displacement.
Wave Properties – Understanding the characteristics of waves, including amplitude, wavelength, frequency, and speed.
Mathematical Representation of Waves – Interpreting wave equations and identifying their components, such as amplitude, wave number, and angular frequency.