7.5 Two waves travel in the same medium at the same speed. One wave has frequency 5.72×10^5 Hz and wavelength 0.533 m.
The other wave has frequency 6.13×10^5 Hz. What is the second wave's wavelength?
m
7.6 Two waves travel in the same medium at the same speed. One has wavelength 0.0382 m and frequency 9.67×10^6 Hz. The
other has wavelength 0.04460000398122414 m. What is the period of the second wave?
sSection 8 - Wave speed in a string
8.1 A wave is traveling through a 35.0-meter-long cable strung with a tension of 35,000 newtons. The mass of this length of cable
is 10.2 kilograms. What is the speed of a wave that is traveling in the cable?
m/s
8.2 A 0.340 gram wire is stretched between 2 points that are 75.0 cm apart. The tension in the wire is 620 N. When the string is
plucked, a wave is created with wavelength equal to twice the length of the string. This wave's frequency is called the
"fundamental frequency" of the string. What is this fundamental frequency?
Hz
8.3 The speed of longitudinal waves in a fluid (sound waves, for example) is given bywhereB is a constant property of the fluid called its bulk modulus and ȡ is the density of the fluid. For water at 4ºC,
B = 2.15×10^9 N/m^2 and ȡ = 1000 kg/m^3. What is the speed of longitudinal waves in water at this temperature?
m/s
8.4 When a certain string has a tension of 34 N, a wave travels along it at 68 m/s. What is the linear density of the string?
kg/mSection 9 - Interactive problem: wave speed in a string
9.1 Use the information given in the interactive problem in this section to answer the following question. If the linear density of
string 1 is 0.020 kg/m, what linear density for string 2 will cause the wave pulses will reach the knot at the same instant? Test
your answser using the simulation.kg/mSection 10 - Mathematical description of a wave
10.1 A wave is described by the equation y = (4.5×10í^2 ) sin (1.9xí 3.2t), where lengths are measured in meters and time in
seconds. What is the displacement of a particle at position x = 2.7 m at time t = 5.8 s? Note: Remember that the argument of
the sine function in the wave equation is expressed in radians.
m10.2 A wave is defined by the equation y = 2.1 sin (4.2ʌx + 6.4ʌt). Time is measured in seconds and lengths are in meters. What
are the wave's (a) direction of motion; (b) amplitude; (c) wavelength; (d) frequency?
(a) i. Left to Right
ii. Right to Left
iii. Up to down
iv. Down to Up
(b) m
(c) m
(d) Hz(^306) Copyright 2007 Kinetic Books Co. Chapter 15 Problems