A sinusoidal wave is propagating on a taut string. The transverse velocity of the elements of the string as function of time is given by v(x,t) = 1.4 cos(3x + 120t - n/3) (where x is in meters, t is in seconds and vis in meters per second). The left end of the string corresponds to the origin x = 0. For an element of the string at x = 0.1 m, determine the earliest time at which this element has a transverse velocity v(x = 0.1, t) = +1 m/s. (1 ms = 10^-3 sec)

A sinusoidal wave is propagating on a taut string. The transverse velocity of the elements of the string as function of time is given by v(x,t) = 1.4 cos(3x + 120t - n/3) (where x is in meters, t is in seconds and vis in meters per second). The left end of the string corresponds to the origin x = 0. For an element of the string at x = 0.1 m, determine the earliest time at which this element has a transverse velocity v(x = 0.1, t) = +1 m/s. (1 ms = 10^-3 sec)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 95P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...

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