10. A rubber ducky (located at x = 0 m) that floats on a lake and bobs up and down due to one dimensional water y (in cm) at t=0 6. waves. Shown are a y(x) graph that depicts the water wave as a function of position at the time t = 0 s and a y(t) graph that depicts the vertical displacement of rubber ducky as a function of time. 4 At 2 x (in m) 2 3 -4 In this question you are to assume that you are trying to fit the general equation for a travelling sine wave given by: -6 y (in cm) at x=0 y(x,t) = Asin t (in s) -2 -4 -6 What is the wavelength (in m) and period (in s) of this water wave? a. b. What is the velocity of this water wave (both speed and direction)? c. What is the value of ø (i.e. the phase constant) for this water wave (in radians)?

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Chapter16: Waves
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10. A rubber ducky (located at x = 0 m)
that floats on a lake and bobs up and
\y (in cm)
at t=0
down due to one dimensional water
waves. Shown are a y(x) graph that
depicts the water wave as a function
of position at the time t = 0 s and a
y(t) graph that depicts the vertical
displacement of rubber ducky as a
function of time.
4
At
2
x (in m)
3
-4
In this question you are to assume
that you are trying to fit the general
equation for a travelling sine wave
given by:
-6
y (in cm)
at x=0
y(x,t) = A sin 27÷±27;
6
t (in s)
-2
-4
-6
a. What is the wavelength (in m) and period (in s) of this water wave?
b. What is the velocity of this water wave (both speed and direction)?
c. What is the value of ø (i.e. the phase constant) for this water wave (in radians)?
Transcribed Image Text:10. A rubber ducky (located at x = 0 m) that floats on a lake and bobs up and \y (in cm) at t=0 down due to one dimensional water waves. Shown are a y(x) graph that depicts the water wave as a function of position at the time t = 0 s and a y(t) graph that depicts the vertical displacement of rubber ducky as a function of time. 4 At 2 x (in m) 3 -4 In this question you are to assume that you are trying to fit the general equation for a travelling sine wave given by: -6 y (in cm) at x=0 y(x,t) = A sin 27÷±27; 6 t (in s) -2 -4 -6 a. What is the wavelength (in m) and period (in s) of this water wave? b. What is the velocity of this water wave (both speed and direction)? c. What is the value of ø (i.e. the phase constant) for this water wave (in radians)?
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