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Exercise 14.43 You want to find the moment of inertia of a complicated machine p

ID: 1295503 • Letter: E

Question

Exercise 14.43

You want to find the moment of inertia of a complicated machine part about an axis through its center of mass. You suspend it from a wire along this axis. The wire has a torsion constant of 0.445N?m/rad . You twist the part a small amount about this axis and let it go, timing 130 oscillations in a time of 260s .

Part A

What is the moment of inertia you want to find?

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Exercise 14.43

You want to find the moment of inertia of a complicated machine part about an axis through its center of mass. You suspend it from a wire along this axis. The wire has a torsion constant of 0.445N?m/rad . You twist the part a small amount about this axis and let it go, timing 130 oscillations in a time of 260s .

Part A

What is the moment of inertia you want to find?

I =   kg?m2  

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Explanation / Answer


time period T=2pi*sqrt(I/K)
given that,
K=0.44 Nm/rad
T=260 sec/130
T=2sec
now
2=2pi*sqrt(I/0.44)
sqrt(I/0.44)=1/3.14
I=0.44/3.14^2
=0.04462 kg*m^2 ......is answer

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