Two waves are propagating on the same very long string. A generator at one end o

Question

Two waves are propagating on the same very long string. A generator at one end of the string creates wave 1, given by the following equation.
y = (6.0 cm) cos p/2[(3.0 m-1)x + (10.0 s-1)t]
A generator at the other end of the string creates wave 2, given by this equation.
y = (6.0 cm) cos p/2[(3.0 m-1)x - (10.0 s-1)t]
(a) Calculate the frequency of each wave.
Hz (wave 1)
Hz (wave 2)

(b) Calculate the wavelength of each wave.
m (wave 1)
m (wave 2)

(c) Calculate the speed of each waves.
m/s (wave 1)
m/s (wave 2)
For x 0, what are the locations of the nodes having the smallest (x1), second smallest (x2), and third smallest (x3) values of x.
(d) x1
m

(e) x2
m

(f) x3
m
Repeat for the antinodes with the smallest values of x.
(g) x1
m

(h) x2
m

(i) x3
m

Explanation / Answer

1 a. 11 b. 11 2. a. 1/6.28m=15.9cm b. 1/6.28m=15.9cm 3. v1=v2=7/4m/s=1.75 4. cos2x=0 x1=0.25m x2=0.75m x3=1.25m cos2x=1 or -1 x1=0 x2=0.5 x3=1m

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