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The chamber of a rock-tumbling machine is a hollow cylinder withmass 69 g and ra

ID: 1672734 • Letter: T

Question

The chamber of a rock-tumbling machine is a hollow cylinder withmass 69 g and radius 7.1 cm. Thechamber is closed off by end caps in the form of uniform circulardisks each of mass 22 g.
(a) What is the rotational inertia of the chamber about itscentral axis?
____ kg*m^2

(b) What torque is necessary to give the chamber an angularacceleration of 3.9 rad/s2?
____ N*m


I'm using I = mr^2+msub1r^2+msub2r^2.
I keep getting it wrong though.
(a) What is the rotational inertia of the chamber about itscentral axis?
____ kg*m^2

(b) What torque is necessary to give the chamber an angularacceleration of 3.9 rad/s2?
____ N*m


I'm using I = mr^2+msub1r^2+msub2r^2.
I keep getting it wrong though.

Explanation / Answer

(a) rot inertia = cylinder + twodisks = .            mass * r2 +   2 * (1/2) mass *r2   = .           = 0.069 * 0.0712 +   2 * (1/2) *0.022 * 0.0712    =      0.000459kg-m2 . (b) torque = inertia * ang acc = 0.000459 * 3.9 =    0.00179 N-m . (b) torque = inertia * ang acc = 0.000459 * 3.9 =    0.00179 N-m
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