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)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 26P

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