A vibrating string 51.0 cm long is under a tension of 1.01 N . The results from
ID: 1495072 • Letter: A
Question
A vibrating string 51.0 cm long is under a tension of 1.01 N . The results from five successive stroboscopic pictures are shown in the figure (Figure 1) . The strobe rate is set at 5000 flashes per minute, and observations reveal that the maximum displacement occurred at flashes 1 and 5 with no other maxima in between.
Find the period for the traveling waves on this string.
Find the frequency for the traveling waves on this string.
Find the wavelength for the traveling waves on this string.
In what harmonic is the string vibrating?
What is the speed of the traveling waves on the string?
How fast is point P moving when the string is in position 1?
Explanation / Answer
number of complete cycles in 5000 flashes = 5000/8 = 625
time period T = t/N = 60/625 = 0.096s
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frequency f = 1/T = 10.42 Hz
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lambda = L = 51 cm
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second harmonic
_______________
speed v = lambda/T = 51/0.096 = 531.25 cm/s
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at the extreme point speed of the particle = 0
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