A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 83 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If the wave equation is of the form y(x, t) = Ym sin(kx + wt + p), what are (c) Ym, (d) k, (e) w, (f) o, and (g) the correct choice of sign in front of w? (a) Number160.63 Units Hz (b) Number1.369 Units m (c) Number Units m 0.042 (d) Number Units [rad/m or m^-1 (e) Numbet 381 Units rad/s (f) Number Units (g)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 10P: A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are...
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Please explain part d and part f. 

A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 83 m/s. At t = 0, the
string particle at x = 0 has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum
transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the
wave? If the wave equation is of the form y(x, t) = Ym sin(kx + wt + p), what are (c) Ymı (d) k, (e) w, (f) P, and (g) the correct
choice of sign in front of w?
(a) Number
[60.63
UnitsTHz
(b) Number1.369
Units
m
(c) NumbetTo.042
Units
m
(d) Number
Units
[rad/m or m^-1
(e) Number381
UnitsT rad/s
(f) Number
Units
(9)
Transcribed Image Text:A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 83 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If the wave equation is of the form y(x, t) = Ym sin(kx + wt + p), what are (c) Ymı (d) k, (e) w, (f) P, and (g) the correct choice of sign in front of w? (a) Number [60.63 UnitsTHz (b) Number1.369 Units m (c) NumbetTo.042 Units m (d) Number Units [rad/m or m^-1 (e) Number381 UnitsT rad/s (f) Number Units (9)
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