Q4. A vibrating string, 0.500m long and fixed at both ends, is under a tension o
ID: 3308741 • Letter: Q
Question
Q4. A vibrating string, 0.500m long and fixed at both ends, is under a tension of 3.00N. A stroboscope was used to (16 pts. total) (2.0 pts.) take the 5 successive pictures of the vibrating string (shown below). Observations reveal that the maximum displacement (1.50cm) occurred at flashes 1 and 5 with no other maxima between them. The time between successive flashes is 0.0120s. a. Find the frequency, f, of the vibrating string wave. 1.5 cm 1.5 cm b. Find the wavelength for the traveling waves on this string. (2.0 pts.)Explanation / Answer
(a) Frequency of the vibrating string f = velocity / wavelength = 41.66/0.5 = 83.33 hertz
(b) Wavelength of travelling wave on the string is just the length of the string =0.500m
(c) Speed of the travelling wave on the string v = Wavelength / Time = 0.500/0.0120 = 41.66 m/s
(d) At point P in the position 1 the speed is zero.
(e) In Position 3 at point P speed is Maximum
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