In the lab you are working with a vibrating string of length 51.0 cm and it is u

Question

In the lab you are working with a vibrating string of length 51.0 cm and it is under a tension of 0.970 N . You then take a series of five successive stroboscopic pictures which 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.

Part A

Find the period for the traveling waves on this string.

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Part B

Find the frequency for the traveling waves on this string.

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Part C

Find the wavelength for the traveling waves on this string.

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Part D

In what harmonic is the string vibrating?

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Part E

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

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Part F

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

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Figure 1 of 1

Explanation / Answer

Four flashes occur from position 1 to position 5, so the elapsed time is

t = 4 ( 60 s/ 5000 ) = 0.048 s

time period is

T = 2t = 2 ( 0.048 s) = 0.096 s

(b)

frequency of the wave is

f = 1/T = 1/ 0.096 s = 10.4 Hz

(c)

the wavelength for the traveling waves on this string is

lamda = L = 0.51 m

(d)

The fundamental standing wave has nodes at each end and no nodes in between. This standing wave has one
additional node. This is the 1st overtone and 2nd harmonic.

(e)

v = lamda f = 0.51 m (10.4 Hz) =5.3 m/s

(f)

In position 1, point P is at its maximum displacement and its speed is zero

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