Given the following data, determine the value of the elastic constant G of the rod and its standard deviation: L = 109.6± 0.5 cm. %3D M = 197.99 ± 0.35 gram. x = 4.95 ± 0.05 cm. T = 0.853± 0.008 secs. %3D Io = 4810 ± 10 gram.-cms.2 %3D
Given the following data, determine the value of the elastic constant G of the rod and its standard deviation: L = 109.6± 0.5 cm. %3D M = 197.99 ± 0.35 gram. x = 4.95 ± 0.05 cm. T = 0.853± 0.008 secs. %3D Io = 4810 ± 10 gram.-cms.2 %3D
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Transcribed Image Text:7.8.
Exercises
The equation governing the perlod of oscillation T of a torsion oscilla-
tor, consisting of an object of moment of inertia I suspended from a
cylindrical rod of length L and radius r, is:
2LL
er4G
T=2n
where G is the elastic modulus of rigdity of the rod.
The moment of inertia I of the object is given by:
I =
Io + Mx2
where M is the total mass of two equal masses at a distance x from
the axis of rotation and I, is the moment of inertia of the rest of the
object.
Given the following data, determine the value of the elastic constant
G of the rod and its standard deviation:
L = 109.6± 0.5 cm.
M = 197.99 ± 0.35 gram.
X = 4.95 ± 0.05 cm.
T = 0.853± 0.008 secs.
Io = 4810 t 10 gram.-cms.2.
%3D
Measurements of the diameter of the rod in centimeters were:
0.241
0.248
0.245
0.247
0.243
0.246
0.243
0.242
0.245
0.244
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