A sinusoidal wave on a string is described by the equation y = (0.191 m) sin (0.745 x - 42.9 t),...
Question:
A sinusoidal wave on a string is described by the equation {eq}y = (0.191\, m) \sin (0.745 x - 42.9 t) {/eq}, where {eq}x {/eq} and {eq}y {/eq} are in meters and {eq}t {/eq} is in seconds. If the linear mass density of the string is {eq}11.7\, g/m {/eq}.
a) Determine the phase constant.
b) Determine the phase of the wave at {eq}x = 2.29\, cm {/eq} and {eq}t = 0.197\, s {/eq}.
Wave equation:
The wave equation indicates about characteristics of the waves. The wave equation tells about the amplitude, angular velocity, and phase of a wave. The wave travels with a certain simple harmonic motion.
Answer and Explanation: 1
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Given data
- The equation of motion is, {eq}y = \left( {0.191\;{\rm{m}}} \right)\sin \left( {0.745x - 42.9t} \right) {/eq}
- The density of the spring...
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