The equation of a certain traveling transverse wave is y = 2 cos (200nt – 0.057x ) where x and y are in cm and t is the time in seconds. 18. Find the transverse velocity of the vibration in y-direction, as a function of time. Hint: Take the partial derivative with respect to t, treating x as a constant. a. Uy c. U, = -0.05 sin 2n(100t – 0.025x) = -400 r sin 2n(100t – 0.025x) b. U, = -200 sin 2r(100t – 0.025x) d. U, = -0. 10 r sin 2a(100t – 0.025x)

The equation of a certain traveling transverse wave is y = 2 cos (200nt – 0.057x ) where x and y are in cm and t is the time in seconds. 18. Find the transverse velocity of the vibration in y-direction, as a function of time. Hint: Take the partial derivative with respect to t, treating x as a constant. a. Uy c. U, = -0.05 sin 2n(100t – 0.025x) = -400 r sin 2n(100t – 0.025x) b. U, = -200 sin 2r(100t – 0.025x) d. U, = -0. 10 r sin 2a(100t – 0.025x)

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 3P

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