A transverse periodic wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t − 10.0 m−1 x). Another transverse wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t + 10.0 m−1 x). What is the equation that represents the superposition of the two waves?
Question
A transverse periodic wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t − 10.0 m−1 x). Another transverse wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t + 10.0 m−1 x). What is the equation that represents the superposition of the two waves?
Solution
The superposition of two waves is simply the sum of the two waves. Therefore, the equation that represents the superposition of the two waves is:
y(x, t) = 1.50 cm sin(1,500 rad/s t − 10.0 m−1 x) + 1.50 cm sin(1,500 rad/s t + 10.0 m−1 x)
This equation represents the superposition of the two waves.
Similar Questions
A longitudinal wave is represented by the equation z(z, t) = −2.0 cm sin(1,200 rad/s t − 20 m−1 z). Another longitudinal wave is represented by the equation z(z, t) = +2.0 cm sin(1,200 rad/s t + 20 m−1 z). What is the equation that represents the superposition of the two waves?
A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/s t − 15.0 m−1 x). What is the velocity of the wave?
Two waves represented by ; and .are superposed. The resultant wave has an amplitude equal to :-zero2aa
A transverse periodic wave is represented by the equation z(y, t) = 1.50 cm sin(1,250 rad/s t + 10.0 m−1 y). What is the frequency of the vibration of the wave?
longitudinal and transverse wave behavior
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.