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A torque 151 N m is applied to the centrifuge to increase its angular velocity to3500 rev/min in 45 s. Calculate the moment of inertia of the centrifuge if it is in the shapeof a disk(a) 2.94 kg m2(b) 20.5 kg m2(c) 1.94 kg m2(d) 18.5 kg m2

Question
A torque 151 N m is applied to the centrifuge to increase its angular velocity to
3500 rev/min in 45 s. Calculate the moment of inertia of the centrifuge if it is in the shape
of a disk
(a) 2.94 kg m2
(b) 20.5 kg m2
(c) 1.94 kg m2
(d) 18.5 kg m2
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A torque 151 N m is applied to the centrifuge to increase its angular velocity to 3500 rev/min in 45 s. Calculate the moment of inertia of the centrifuge if it is in the shape of a disk (a) 2.94 kg m2 (b) 20.5 kg m2 (c) 1.94 kg m2 (d) 18.5 kg m2

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Step 1

Angular acceleration is,

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Step 2

Substituting the values,

3500rev/min 0.105 rad/s
rev/min
a
45s
=8.17 rad/s
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3500rev/min 0.105 rad/s rev/min a 45s =8.17 rad/s

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Step 3

Relation between torque and ...

r-la
I=I
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r-la I=I

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Rotational Mechanics

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