Answer to Question #106284 in Classical Mechanics for Jose Madrigal

Question

Data for Experiment 108- Frequency of Vibration

Frequency and Tension

Trial 1 Trial 2

Vibrating Length (L) 50 cm 65 cm
Number of Segments (n) 2 2
Attached Mass (m) 70g 90g
Linear Mass Density 0.0015 g/cm 0.0015 g/cm
Actual Frequency 120 Hz 120 Hz

Find the Following. Use the correct number of Significant Figures.
1. Tension ( T=mg) in Trial 1 and Trial 2
2. Experimental Frequency in both trials.
3. Percentage error in both trials.

Answer 1

Frequency is calculated by $f=\frac{1}{L}\sqrt{\frac{T}{ \mu }}$

$T=f^2L^2\mu$

In the first case

Tension = $(120)^2\times0.5^2\times 0.0015=5.4 N$

In the second case

Tension =$(120)^2\times0.65^2\times0.0015=9.126N$