Demonstration of Doppler effect.

V – speed of wave; f – frequency of wave.

V=slider([0,5,5])

f=slider([0,10,40])

Speed of observer; observer location.

O=slider([-5,5,40])

vector(x,y)=vector(2+O*n,0)

S – speed of source; location of source

S=slider([0,5,40])

vector(x,y)=vector(S*n,0)

Spacing of source emission points is D=ST=S/f, where T=1/f is the period of the source:

D=S/f

Pulse emitted at aD at a time aD/S = a/f after t [i.e. n] = 0; a labels emitted pulses. Wave fronts emitted at aD:

sqrt([x-(a*D)]^2+y^2)=V*[n-a/f],in(a,set(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20))

Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

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