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transverse wave of frequency 20 Hz prop- agates down a string. Two points 20 cm apart are out of phase?
transverse wave of frequency 20 Hz prop-
agates down a string. Two points 20 cm apart
are out of phase by
2pi
.
What is the wave length of the wave?
Answer in units of cm.
.
part 2 of 3 10 points
At a given point, what is the phase differ-
ence (as a multiple of pi) between two ‘dis-
placements for times 7.5 ms apart?
Answer in units of pi
part 3 of 3 10 points
What is the wave velocity?
Answer in units of m/s.
1. A phase difference of 2pi is a one full cycle. So the wavelength is 20cm.
2. The Period T = 1/f = 1/20 = 0.05s = 0.05 x 1000 ms = 50ms
The phase difference for 1 cycle is 2pi radians.
By proportion, the phase difference for 7.5ms = (7.5/50) x 2pi = 0.3pi radians
3. v = wavelength x frequency = 0.2m x 20Hz = 4m/s.
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