LAB 8.0 - Standing waves on a string

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California State University, Los Angeles *

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Course

1570

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Mechanical Engineering

Date

Jan 9, 2024

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pdf

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2

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PHYS 1570 – LAB 9 STANDING WAVES ON A STRING Name of Students 1. Angel 2. Fernando 3. Jesus Table 1: Measurements of the experimental parameters. Bold parameters are measurement. Table 2: Determination of the natural frequency of the standing waves on a string. Bold parameters are measurement. Instrument Value Error Sample String Length l s [m] 1.85m 0.07 Weight m s [kg] 0.00056kg 0.07 0.000165 0.000076 Setup string length L [m] N.A. 1.78 0.07 Mass of the hanger m H [kg] N.A. 0.05 0.00 Oscillator frequency f osc [Hz] N.A. 60 0 Mass per unit length [kg/m] μ Number of nodes Order n (Number of nodes - 1) Wavelength λ [m] from eq. (1) Added mass M [kg] Total mass m = M + m H [kg] Tension T [N] from eq. (4) Velocity v [m/s] from eq. (3) Natural frequency f [Hz] from eq. (2) 4 3 0.476 0.05 0.055 0.539 57.155 120.074 3 2 0.714 0.016 0.066 0.647 62.620 87.703 2 1 1.428 0.017 0.067 0.657 63.102 44.189 83.989 23.989 38.079 Standard error ε 38.079 Repetition rate of the stroboscope f stromb [Hz] 60.00 Hz Discrepancy f stromb - 60 [Hz] -0.033 Average natural frequency [Hz] ~ f   Discrepancy [Hz] ~ f   − 60 Standard deviation σ
Table 3: Comparison between the natural frequency, the AC oscillator, and the rate of repetition of the stroboscope. Analysis 1. Does your average natural frequency falls within the value of the oscillator (60 Hz)? __Yes_ 2. Does the repetition rate of the stroboscope f stromb falls within: a. the value of the oscillator (60 Hz)? _____Yes________ b. your average natural frequency ? _____Yes_______ 3. If you have answered no to one of the questions, explain the discrepancy. -24.022 Discrepancy f stromb - [Hz] ~ f   ~ f   ± ε ~ f   ± ε
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