{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Experiment6

Experiment6 - EXPERIMENT 6 WAVE PROPAGATION AND STANDING...

This preview shows pages 1–2. Sign up to view the full content.

EXPERIMENT 6 WAVE PROPAGATION AND STANDING WAVES Measure the velocity of sound in air by measuring the resonances of a tube closed at both ends. Traveling Waves Homework: 1) Read the “notes for experiment 6” on the webct site. 2) The relation between frequency wavelength and velocity of propagating waves: A traveling wave is described by the function ) sin( 0 t kx y y ϖ - = The quantity which oscillates in the wave (pressure in an acoustic wave, water height in a water wave, electric field in a radio wave, etc.) is represented as y . The “amplitude” of the wave (half of the peak to peak variation) is y 0 . The frequency in radians/sec is ϖ and is f = ϖ /2 π in Hz. The wave number, k , is equal to 2 π / λ, where λ is the wavelength. a) Using the above expression for a traveling wave, show that at any given time, the shortest distance between two places where y = 0, is x = π / k = λ /2. b) Show that at a fixed position, x = λ /4, the shortest time between equal values of y, with y increasing, is 1/( f ) c) Show that the location along the x axis for which 2 0 y y = moves at velocity, v = ϖ/ k .

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 ]}