A stretched string has a mass per unit length of 5.94 g/cm and a tension of 19.8 N. A sinusoidal wave on this string has an amplitude of 0.142 mm and a frequency of 159 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = ym sin(kx + wt), what are (a) ym, (b) k, and (c) w, and (d) the correct choice of sign in front of w?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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(a) - Exact number no tolerance,  (b) and (c) - The tolerance is ± 1 in the 3rd significant digit

The second pic is the available units for the answers

rad/m or m^-1
Hz
kg/s
rad/m or m^-1
rad/s or s^-1
kg/m
W/m^2
dB
MHz
kHz
GHz
rad/cm or cm^-1
mW/m^2
nW/m^2
pW/m^2
Hz^1/2
Transcribed Image Text:rad/m or m^-1 Hz kg/s rad/m or m^-1 rad/s or s^-1 kg/m W/m^2 dB MHz kHz GHz rad/cm or cm^-1 mW/m^2 nW/m^2 pW/m^2 Hz^1/2
A stretched string has a mass per unit length of 5.94 g/cm and a tension of 19.8 N. A sinusoidal wave on this string has
an amplitude of 0.142 mm and a frequency of 159 Hz and is traveling in the negative direction of an x axis. If the wave
equation is of the form
y(x,t) = Ym sin(kx + wt),
what are (a) ym, (b) k, and (c) w, and (d) the correct choice of sign in front of w?
(a) Number
i 0.000142
Units
m^3
(b) Number
i
998.52
Units
rad/s or s^-1
(c) Number
i
172.9487
Units
rad/m or m^-1
Transcribed Image Text:A stretched string has a mass per unit length of 5.94 g/cm and a tension of 19.8 N. A sinusoidal wave on this string has an amplitude of 0.142 mm and a frequency of 159 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = Ym sin(kx + wt), what are (a) ym, (b) k, and (c) w, and (d) the correct choice of sign in front of w? (a) Number i 0.000142 Units m^3 (b) Number i 998.52 Units rad/s or s^-1 (c) Number i 172.9487 Units rad/m or m^-1
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