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Solved: You need to design an industrial turntable that is
Chapter 9, Problem 9.42(choose chapter or problem)
You need to design an industrial turntable that is 60.0 cm in diameter and has a kinetic energy of 0.250 J when turning at 45.0 rpm (rev/min).
(a) What must be the moment of inertia of the turntable about the rotation axis?
(b) If your workshop makes this turntable in the shape of a uniform solid disk, what must be its mass?
Questions & Answers
QUESTION:
You need to design an industrial turntable that is 60.0 cm in diameter and has a kinetic energy of 0.250 J when turning at 45.0 rpm (rev/min).
(a) What must be the moment of inertia of the turntable about the rotation axis?
(b) If your workshop makes this turntable in the shape of a uniform solid disk, what must be its mass?
ANSWER:Step 1 of 3
Let us consider the solid disc with diameter d= 60 cm, so the radius R=30 cm=0.3 m having kinetic energy KE= 0.250 J while rotating with angular speed = 45 rev/min. We need to calculate the moment of inertia of the given disc and in the second part we have to calculate the mass.
Given data,
Radius R=0.3 m
KE= 0.250 J
= 45 rev/min
Using 1 rev = 2rad and 1 min= 60 sec
=
rad/sec
= 4.71 rad/sec
To find,
Moment of inertia, I=?
Mass of the solid disc, m=?