User's Manual

String Vibrator Teachers’ Notes–Standing Waves In Strings
24
®
Analysis Method 2
f = (60.0 ± 0.1) Hz
L = (0.987 ± 0.001 m)
This result differs from the direct measurement of linear density by 0.01 × 10
-4
kg/m. It is within
the estimated uncertainty.
F vs. n
F vs. 1/ n
2
Slope = 3.74 ± 0.01 N
4µf
2
L
2
3.74 0.01 N±=
µ
3.74 0.01 N±()
4f
2
L
2
-------------------------------------- 2.67 0.01±()
10
4–
× kg/m==
% Deviation
2.67 10
4–
× kg/m 2.66 10
4–
× kg/m–
2.66 10
4–
× kg/m
---------------------------------------------------------------------------------------
100%× 0.4%==