(a) Transverse wave (b) Longitudinal wave A transverse mechanical wave propagates in the positive x-direction through a spring (as shown above in Figure A) with a constant wave speed, and the medium oscillates between +A and -A around an equilibrium position. The graph below shows the height of the spring (y) versus the position (x), where the x-axis points in the direction of propagation. The figure shows the height of the spring versus the x-position at t=0.00s as a dotted line and the wave at t=3.00s as a solid line. Assume the wave has not traveled more than 1 wavelength in this time. y(cm) 8 t = 0.00 s AAA 6 4 2 0 -2 -4 -6 -8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 t=3.00 s x(cm) (a) Determine the amplitude and wavelength of the wave. A= 2= cm cm (b) Find the propagation velocity of the wave. v= cm/ s (c) Calculate the period and frequency of the wave. Hint: What is the relationship between the period, the wavelength and the speed of the wave? T= f= S Hz

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(a) Transverse wave
(b) Longitudinal wave
A transverse mechanical wave propagates in the positive x-direction through a spring (as shown
above in Figure A) with a constant wave speed, and the medium oscillates between +A and -A around
an equilibrium position.
The graph below shows the height of the spring (y) versus the position (x), where the x-axis points in
the direction of propagation. The figure shows the height of the spring versus the x-position at
t=0.00s as a dotted line and the wave at t=3.00s as a solid line. Assume the wave has not traveled
more than 1 wavelength in this time.
y(cm)
8
t = 0.00 s
AAA
6
4
2
0
-2
-4
-6
-8
0 1 2
3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20
5
t=3.00 s
x(cm)
(a) Determine the amplitude and wavelength of the wave.
A=
2=
cm
cm
(b) Find the propagation velocity of the wave.
v=
cm/ s
(c) Calculate the period and frequency of the wave. Hint: What is the relationship between the period,
the wavelength and the speed of the wave?
T=
f=
S
Hz
Transcribed Image Text:(a) Transverse wave (b) Longitudinal wave A transverse mechanical wave propagates in the positive x-direction through a spring (as shown above in Figure A) with a constant wave speed, and the medium oscillates between +A and -A around an equilibrium position. The graph below shows the height of the spring (y) versus the position (x), where the x-axis points in the direction of propagation. The figure shows the height of the spring versus the x-position at t=0.00s as a dotted line and the wave at t=3.00s as a solid line. Assume the wave has not traveled more than 1 wavelength in this time. y(cm) 8 t = 0.00 s AAA 6 4 2 0 -2 -4 -6 -8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 t=3.00 s x(cm) (a) Determine the amplitude and wavelength of the wave. A= 2= cm cm (b) Find the propagation velocity of the wave. v= cm/ s (c) Calculate the period and frequency of the wave. Hint: What is the relationship between the period, the wavelength and the speed of the wave? T= f= S Hz
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