Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The equation of a stationary wave is given by y (x, t)=2 sin pie x cos 100 pie t. where x and y are measured in metre and t in second. Calculate the

amplitude, wavelength and frequency of component waves whose superposition generated this stationary wave. Also write the equations of component waves.



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Y(x, t) = 2 Sin 2π x   Cos 100π t
         = Sin (2πx + 100π t) + Sin (2πx - 100π t)

component waves are :
 y(x, t) Sin(2πx + 100π t) :  f = 100π/2π = 50 Hz,  Amplitude = 1 meter. 
                 k = 2π       λ = 2π/k  = 1 meter
   wave is traveling in negative x direction

y(x,t) = Sin(2πx - 100πt) :  f = 50 Hz,  Amplitude = 1m    k = 2π      λ = 1 m
         traveling in positive x direction.

2 5 2
click on thanks button above pls ;; select best answer
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts