These two waves travel along the same string: Y1 = (3.79 mm) sin(1.75xx - 440zt) y2 = (5.82 mm) sin(1.75xx - 440tt + 0.861trad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.14 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) NumberT4.29247 UnitsT mm (b) Number 1.4264 Units rad (c) NumberTo.708 Units rad

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 94P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...
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These two waves travel along the same string:
Y1 = (3.79 mm) sin(1.75TX - 440tt)
Y2 = (5.82 mm) sin(1.75TX - 440at + 0.8617rad).
What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.14 mm is also to be sent along the string in the same direction as the first two
waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave?
(a) Number
4.29247
Units
mm
(b) NumberTT1.4264
Units
rad
(c) Number To.708
Units
rad
Transcribed Image Text:These two waves travel along the same string: Y1 = (3.79 mm) sin(1.75TX - 440tt) Y2 = (5.82 mm) sin(1.75TX - 440at + 0.8617rad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.14 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) Number 4.29247 Units mm (b) NumberTT1.4264 Units rad (c) Number To.708 Units rad
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