PHYS 2214  Spring 2009
PS3 Answer Key
PHYS 2214: Waves, Optics, and Particles — Spring 2009
Problem Set 3 – Answer Key
February 10, 2009
c
±
Joe P. Chen
1.
Tsunamis.
(a) Wave speed is
v
= 220
m s

1
.
(b) Water depth is
H
= 4940
m
.
(c) The max vertical speed is
v
y,
max
= 1
.
75
×
10

4
m s

1
, which is imperceptibly small on the human
scale!
3.
Transverse wave on an ideal string.
(a) The snapshot, and the select points A, B, C, and D, are shown in Figure 1. Max transverse speed
= 7
.
76
m s

1
, and max transverse acceleration = 1
.
20
×
10
4
m s

2
.
Figure 1: (Color online) A snapshot of the rightmoving transverse wave of Problem 3 at time
t
= 0. Points
A, B, C, D correspond to the various points mentioned in Part (a).
(b) The wave propagates in the +
x
direction (to the right) at speed
v
= 321
m s

1
, which is about
40 times the max transverse speed.
(c) Tension
τ
= 101
N
(d) The segment whereupon the onesided vertical force
is maximal is one where the slope is maximal,
i.e.,
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 Spring '07
 GIAMBATTISTA,A
 max transverse speed, PS3 Answer Key, Joe P. Chen

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