Part A What is the amplitude of the traveling wave in the figure(Figure 1) ? Exp
ID: 1414829 • Letter: P
Question
Part A
What is the amplitude of the traveling wave in the figure(Figure 1) ?
Express your answer using two significant figures.
Part B
What is the wavelength of the traveling wave in the figure?
Express your answer using two significant figures.
Part C
What is the frequency of the traveling wave in the figure?
Express your answer using two significant figures.
Part D
What is the phase constant of the traveling wave in the figure?
Express your answer in terms of constant ?.
.
D (cm) 48 12 16 20 4 Snapshot graph at t = 0 sExplanation / Answer
A.
Amplitude = 4 cm (maximum D)
from the graph
B.
wavelength = 12 cm (for 1 period total x)
C.
wave equation will be given by
y = A*sin (wt + phi)
at t = 0
y = A*sin (0 + phi)
The wave reaches a maximum at x1 = 2 m and at x2 = 14 m
given that x(0) = 0 m at time t = 0 s and x is moving at speed v = 24 m/s.
2 m = 24 m/sec * t1
t1 = 1/12 sec
14 m = 24 m/sec*t2
t2 = 14/24 = 7/12 sec
Time period = t2 - t1
T = 7/12 - 1/12
T = 0.5 sec
frequency = 1/T = 1/0.5
f = 2 Hz
D.
at t = 0
y(0) = A*sin (phi)
phi= arcsin (y(0)/A)
phi = arcsin (2/4)
phi = 30 deg = pi/6