PHYS 210L Lab Solved Report Standing Waves String, Fall 2012

Physics 210 STANDING WAVES ON A STRETCHED STRING Name:_________________________ Section:______________________ Partner’s name:__________________ Instructor:____________________ A) Resonant frequencies versus n Distance between bridges = ___________ m. Tension =___________ N. Mode Signal Generator Frequency (Hz) Wire frequency (Hz) Node to node distance (m) Wavelength (m) First Second Third Fourth Fifth Plot the frequency versus n? Deduce from the slope of your straight line the linear density, , of the string along with its rms error. (show procedure and calculations). Find and . Compare to the linear density found in the literature and comment on your result. B) Fundamental frequency versus tension Distance between bridges = 0.6 m. Tension (N) Fundamental Frequency (Hz) Wave Velocity (m/s) 9.800 81.00 93.541 19.60 109.3 132.29 29.21 139.6 161.49 39.20 156.0 187.08 49.00 172.4 209.17 Plot the frequency versus (T)1/2. Deduce from the slope of your straight line the linear density, , of the string along with its rms error (show procedure and calculations). How does your values compare to that measured in Part A? Frequency 3.130 81.00 4.427 109.3 5.405 139.6 6.261 156.0 7.000 172.4 sqrt(T) v/s Frequency y = 24.023x + 5.6712 0 20 40 60 80 100 120 140 160 180 200 0 1 2 3 4 5 6 7 8 sqrt(T) Frequency Questions 1. Do the frequencies at which resonance occurs depend on the tension in the wire? 2. Do the shapes of the resonance patterns (locations of nodes and antinodes) depend on the tension in the wire?