1. No category

f =
1
Τ
K=
U=
λ
λ
k=
2π
λ
1
µω 2 A2 λ
4

y ( x, t ) A sin 
Physics 41 Chapter 16 Lecture Problems=
2π
λ
ω
=
2π
= 2π f
T
=
v λ f=
λ
ω
=
T k
=
℘
( x − vt )
∆E 1
=
µω 2 A2 v
∆t 2
Ocean waves with a crest-to-crest distance of 10.0 m can be described by the wave function
y(x, t) = (0.800 m) sin[0.628(x – vt)] where v = 1.20 m/s. What is the wavelength?
(a) Sketch y(x, t) at t = 0. (b) Sketch y(x, t) at t = 2.00 s. Compare the two graphs.
Consider the sinusoidal wave with the wave function y = (15.0 cm) cos(0.157x – 50.3t). At a certain
instant, let point A be at the origin and point B be the first point along the x axis where the wave is 60.0°
out of phase with point A. What is the coordinate of point B?
If y = 0.02 sin (30x - 400t) (SI units) and if the mass density of the string on which the wave propagates
is .005 kg/m, then the transmitted power is
a.
b.
c.
d.
e.
1.03 W
2.13 W
4.84 W
5.54 W
106 W

A piano wire of length 1.5 m vibrates so that one-half wavelength is contained on the string. If the
frequency of vibration is 65 Hz, the amplitude of vibration is 3.0 mm, and the density is 15 g/m, how
much energy is transmitted per second down the wire?
a.
b.
c.
d.
e.
21 W
11 W
5.4 W
2.2 W
1.1 W
The displacement of a vibrating string vs position along the string is shown. The wave speed is 10cm/s.
A) What is the amplitude of the wave?
B) What is the wavelength of the wave?
C) What is the frequency of the wave?
What is the period? Write out the wave equation for the motion in
(cm,s).
D) If the linear density of the string is .01kg/m, what is the tension of
the string?
E) If the the tension doubles, how does everything change?
The plots on the left shows a sine wave at one point of a string as a function of time. Which of the graphs
below shows a wave where the amplitude and frequency are each reduced in half?
The plots on the right shows a sine wave on a string at one instant of time as a function of distance.
Which of the graphs below shows a wave where the frequency and wave velocity are both doubled?