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

Here we will use the fallowing relation between Frequency ( )Tension ( ), linear density of string ( ), Length of the string ( ), and number of segments ( ) ( that is the number/order of harmonic ) ,

______________________________________________ relation 1

let = mass attached to the string and  

Trial 1)

after adjusting for significant figures

Trial 2)

after adjusting for significant figures

Table 1

	Trial 1	Trial 2
Vibrating length ( ) ( cm )	50	65
Number of segments ( )	2	2
attached mass ( ) ( g )	70	90
Linear mass density ( ) ( g/cm )	0.0015	0.0015
Tension in string (   ) ( )	68000	88000
Actual frequency ( ) ( Hz )	120	120
Calculated frequency ( Hz )	135.25	117.97
Calculated frequency in significant digits ( ) ( Hz )
Percentage error ( )

If you have measured string lengths in mm accuracy that is

Trial 1 L = 50.0 cm and Trial 2 L = 65.0 cm

Then last two rows of Table 1 will be as below

	Trial 1	Trial 2
Calculated frequency in significant digits ( ) ( Hz )	135	118
Percentage error ( )	12.5 %	1.67%

And If you have measured string lengths in only in cm accuracy that is

Trial 1 L = 50 cm and Trial 2 L = 65 cm

Then last two rows of Table 1 will be as below

	Trial 1	Trial 2
Calculated frequency in significant digits ( ) ( Hz )	140	120
Percentage error  ( )	13.33 %	0%