Lecture 6 Notes

# Lecture 6 Notes - Recap of last lecture Waves are...

This preview shows pages 1–4. Sign up to view the full content.

Recap of last lecture Waves are transverse or longitudinal or a combination If the oscillations producing the wave is a SHM velocity v = fλ where λ is the wavelength Wave function or amplitude of wave at Any arbitrary position x and time t is: y(x,t) = Acos(kx-ωt) Wave number k = 2π/λ

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem 15.11 A sinusoidal wave is propagating along a stretched string that lies along the x-axis. The displacement of the string as a function of time is shown for x=0 and x=0.09 m A) What is the amplitude of the wave? B) What is its period ? C) If the two points are within 1 wavelength and the wave is traveling along +x, what is the wavelength and the wave speed. D) If the wave is traveling in the –x direction what is the wavelength and wave speed.
Problem 15.11 a) Amplitude is 4mm b) Period is 0.04s c) The peak at t=0.01 is the first max for x=0 and the same peak at x=0.09 occurs at t=0.035. Or 2 π (0.035/0.04 – 0.09/ λ ) = π /2; or λ = 0.14 m, and v= f λ= 25x0.14 = 3.5 m/s d) ( , ) sin[2 ( / / )]. y x t A t T x π λ = - ( , ) sin(2 ( / / )) y x t A t T x = + ( , ) sin(2 ( / / )) y x t A t T x = + The peak at t=0.05 is the first max for

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 9

Lecture 6 Notes - Recap of last lecture Waves are...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online