a string has a measured length of 267+/-0.2 cm and a mass of 0.7+/-0.1g. the string is fixed to a support rod on one end and is passed over a pulley on the other end. a mass of 150.7 +/- 0.1g is tied to the end of the string hanging over the pulley.  the string is placed in contant with a vibrator unit near the support rod and standing wave is produced on the string. for the vibrating string the following data were taken for the standing wave pattern:  Frequency (Hz) Wavelength (m) 29 2.49 63 1.15 91 0.81 126 0.57 A) use graph paper and plot these data points as wavelength vs reciprocal frequency B) from the slope of the graph of wavelength vs reciprocal frequency determine the propagation velocity of the wave on the stirng  C) Compare the velocity result of part B with the value for the propagation velocity as determined from the linear mass density and tention in the string.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 141AP: A string has a mass of 150 g and a length of 3.4 m. One end of the string is fixed to a lab stand...
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a string has a measured length of 267+/-0.2 cm and a mass of 0.7+/-0.1g. the string is fixed to a support rod on one end and is passed over a pulley on the other end. a mass of 150.7 +/- 0.1g is tied to the end of the string hanging over the pulley.  the string is placed in contant with a vibrator unit near the support rod and standing wave is produced on the string. for the vibrating string the following data were taken for the standing wave pattern: 

Frequency (Hz) Wavelength (m)
29 2.49
63 1.15
91 0.81
126 0.57

A) use graph paper and plot these data points as wavelength vs reciprocal frequency

B) from the slope of the graph of wavelength vs reciprocal frequency determine the propagation velocity of the wave on the stirng 

C) Compare the velocity result of part B with the value for the propagation velocity as determined from the linear mass density and tention in the string.

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