A vibrating string 50.0 c m long is under a tension of 1.05 N . The results from

Question

A vibrating string 50.0cm long is under a tension of 1.05N . The results from five successive stroboscopic pictures are shown in the figure. 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.

A) Find the period for the traveling waves on this string.

B) Find the frequency for the traveling waves on this string.

C) Find the wavelength for the traveling waves on this string.

D) In what harmonic is the string vibrating?

E) What is the speed of the traveling waves on the string?

F) How fast is point P moving when the string is in position 1?

A vibrating string 50.0cm long is under a tension of 1.05N . The results from five successive stroboscopic pictures are shown in the figure. 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.

Explanation / Answer

A) so time is 5 is half period

so T = 2* 60/5000*5=0.12 s

B) f = 1/T = 8.33 Hz

C) wavelength = L = .5 m

d) second harmonic since two antinodes

e) v = lambda f = .5*8.33 = 4.17 m/s

f) v = 0

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