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Suppose you observed the equation for a traveling wave to be y(x, t) = A cos(kx − ????t), where its amplitude of oscillations was 0.15 m, it
Question
Suppose you observed the equation for a traveling wave to be y(x, t) = A cos(kx − ????t), where its amplitude of oscillations was 0.15 m, its wavelength was two meters, and the period was 2/15 s. If a point on the wave at a specific time has a displacement of 0.12 m, what is the transverse speed of that point?
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2021-08-10T15:27:02+00:00
2021-08-10T15:27:02+00:00 1 Answers
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Answers ( )
Answer:
15m/s
Explanation:
The equation for a traveling wave as expressed as y(x, t) = A cos(kx −
t) where An is the amplitude f oscillation,
is the angular velocity and x is the horizontal displacement and y is the vertical displacement.
From the formula;
where;
Before we can get the transverse speed, we need to get the frequency and the wavelength.
frequency = 1/period
Given period = 2/15 s
Frequency =
frequency = 1 * 15/2
frequency f = 15/2 Hertz
Given wavelength
= 2m
Transverse speed
Hence, the transverse speed at that point is 15m/s