University:
Viterbo University
Course:
PHYS 260 | University Physics I
Academic year:

2023
Views:

23

Pages:

9
Author:

TomAnd45

Beats wave, are the save but different in frequency. Y = A Ces (wit) Y2: A Cas (W₂+) Y = y + y2 - Akos (wit) + Gi(wi (Gs (Alt Car (B) = 2cos(a)- 3 Gas (a+b) 2 Sheet 3 Extra problems -waves 1. 48. in save directionn -String move Inax = Amplitude= 1.5 A y(xit) 2 Aca Sin (kx-wt+) = 1.5 Inax = 24/C0s = 1. Cos = 0.75 82-81 (a) 1.445 rad (b) 12 Four waves with But Cos (witaz Amplitude: 2 Asos (WW2) Y = Asin (Ky-w+) 2: Asir (Kx-wt +) 93 = Asin (Kx-wt+2) ( 2 + Asinckx-t = 4 2 + 4. By using sin(atte)--Sina Y4=Asin (Kx-wt +) = - A sin(kx-wt) "Yt = Asin (kxw7) + A sin (kx-wt +) + Asin (Kx-wt+2) - A sin (kx-wt) "t=A[sin(kx-wit+it/s) tsin (Kx-wt + 2)] By using SinA+sin b=2 cos (ab) Sin (ath) Y=2 cas ) sin(x-utt + = √3 A sin (Kx-w++) Y By using sin (atty)=Gsa 4= √3A Gs (kx-wt) Im=Amplitude = 1 A y=4) sin(1000t) using Cos²= [I+ Cas 20] It *4=4[1+ Cast] sin [loot - 2 sin [1000t]+ +2 Cos(t) sin [1000t] Using Sin das R = [sin(x+B) + Sin (Q-B1] =2 sin (1000t) +sin (1001 t) + sin (999 t) Superposition of three woves W:1000 Hz W₂ = 1001 H2 W3-999 Hz 4y = Asincut 42 (t+1) ble J₂ = 3 sin (wt+12) t= 4 sin wt + sin(++) wing Sin(wt+1)= Cas(wt) Jt=4sin(wt)+3 Gs(wt) This is interference by two waves but they are different in So the resultant Amplitude = A+ A2 + 2A, 24 = A=16+9=5cm *