These two waves travel along the same string: Y1 = (3.79 mm) sin(1.75TX - 440zt) Y2 = (5.82 mm) sin(1.75Tx - 440zt + 0.861Arad). 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?

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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These two waves travel along the same string:
Y1 = (3.79 mm) sin(1.75Tx - 440t)
y2 = (5.82 mm) sin(1.75Tx - 440tt + 0.8617trad).
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
UnitšT mm
2.8741
(b) Number
Units
rad
1.0283
(c) Number
1.0283
UnitšTrad
Transcribed Image Text:These two waves travel along the same string: Y1 = (3.79 mm) sin(1.75Tx - 440t) y2 = (5.82 mm) sin(1.75Tx - 440tt + 0.8617trad). 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 UnitšT mm 2.8741 (b) Number Units rad 1.0283 (c) Number 1.0283 UnitšTrad
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