PASCO WA-9611_13 SONOMETER - Manual (Page 21)

17
012-03489E Sonometer
Teacher’s Guide
Experiment 1: Resonance Modes of a Stretched String
Note
To avoid cross-talk between the detector and driver, keep
the detector coil at least 10 cm from the driver coil during
measurements.
Notes on Analysis
X
X
X
X
X
X
X
X
X
0
0.05
0.1
0.15
0.2
0.25
0.3
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
W
avelength (m)
String Length (m)
f(x) = 4.000000E-1*x + 1.084202E-19
R^2 = 10.000000E-1
n = 5 (constant)
This verifies that wavelength = 2L/n
Wavelength v. String Length
There is a linear relationship between resonant wave-
length and string length.
The overtones are all multiples of the fundamental
frequency.
Optional
➀
X
X
X
X
X
0
200
400
600
800
1000
1200
1400
1600
0 5 10 15 20 25 30 35 40 45 50
Frequency (Hz)
Tension (N)
Frequency v. Tension
f(T) = 2.105721E+2 * (T^5.045696E-1 )
R^2 = 9.994170E-1
This verifies that f ` T
1/2
X
X
X
X
X
0
200
400
600
800
1000
1200
0.0002 0.0007 0.0012 0.0017 0.0022 0.0027
Frequency (Hz)
µ
(kg/m)
Frequency v. Mass/Length
f( µ ) = 2.163996E+1 * ( µ ^-5.088207E-1 )
R^2 = 9.991369E-1
This verifies that f `
µ -1/2