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A wave is described by the equation y(x, t) = 35 sin (2 π x – 3 t +1.5), where all numerical values and variables have the appropriate units
Question
A wave is described by the equation y(x, t) = 35 sin (2 π x – 3 t +1.5), where all numerical values and variables have the appropriate units to produce displacement in cm, speed in cm/s, and time in seconds. What is the speed of the wave?
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Physics
3 years
2021-08-17T11:48:31+00:00
2021-08-17T11:48:31+00:00 1 Answers
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Answers ( )
Answer:
v = 0.477m/s
Explanation:
You have the following wave function:
(1)
where y is the vertical displacement of the wave for the position x.
The general form of a wave function can be written as follow:
(2)
by comparing the equation (2) and (1) you have:
A: amplitude of the wave = 35
k: wave number = 2π
w: angular frequency of the wave = 3
φ: phase of the wave = 1.5
The speed of the wave is given by the following formula:
you replace the values of the parameters in the previous formula:
The speed of the wave is 0.477m/s