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Consider two cylinders with same radius ...

Consider two cylinders with same radius and same mass. Let one of the cylinders be solid and another one be hollow. When subjected to some torque, which one among them gets more angular acceleration than the other?

Text Solution

Verified by Experts

Moment of inertia of a solid cylinder about its axis `I_(s)=(1)/(2)MR^(2)`
Moment of inertia of a hollow cylinder about its axis `I_(k)=MR^(2)`
`I_(s)=(1)/(2)I_(h) or I_(h)=2I_(s)`
torque `tau =I alpha=(tau)/(1)`
`alpha_(s)=(tau)/(I_(s)) and a_(h)=(tau)/(I_(b))`
Since `I_(h) gt I_(s) rArr (I_(h))/(I_(s)) gt I`
`:. alpha_(s) gt alpha_(h)`
For the same torque, a solid cylinder gets more acceleration than a hollow cylinder.
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