Two harmonic waves are described by $$y _ { 1 } = ( 6.00 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 2.00 } { \mathrm {~m} } x + \frac { 3.00 } { \mathrm {~s} } t \right) \right)$$ $$y _ { 2 } = ( 6.00 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 2.00 } { \mathrm {~m} } x - \frac { 3.00 } { \mathrm {~s} } t \right) \right)$$ What is the magnitude of the displacement (in cm)of this wave at x = 3 cm and t = 5 sec?
A)12.0
B)3.00
C)6.00
D)2.25
E)0

Question

Quizplus · Accepted Answer

The Answer of Two harmonic waves are described by $$y _ { 1 } = ( 6.00 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 2.00 } { \mathrm {~m} } x + \frac { 3.00 } { \mathrm {~s} } t \right) \right)$$ $$y _ { 2 } = ( 6.00 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 2.00 } { \mathrm {~m} } x - \frac { 3.00 } { \mathrm {~s} } t \right) \right)$$ What is the magnitude of the displacement (in cm)of this wave at x = 3 cm and t = 5 sec?
A)12.0
B)3.00
C)6.00
D)2.25
E)0

Two Harmonic Waves Are Described By y1=(6.00 cm)sin⁡(π(2.00 mx+3.00 st))y _ { 1 } = ( 6.00 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 2.00 } { \mathrm {~m} } x + \frac { 3.00 } { \mathrm {~s} } t \right) \right)y1​=(6.00 cm)sin(π( m2.00​x+ s3.00​t))

Two Harmonic Waves Are Described By $y _ { 1 } = ( 6.00 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 2.00 } { \mathrm {~m} } x + \frac { 3.00 } { \mathrm {~s} } t \right) \right)$