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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? |
Answer» <html><body><p></p>Solution :Moment of inertia of a solid cylinder about its axis `I_(s)=(1)/(2)<a href="https://interviewquestions.tuteehub.com/tag/mr-549185" style="font-weight:bold;" target="_blank" title="Click to know more about MR">MR</a>^(2)` <br/> Moment of inertia of a hollow cylinder about its axis `I_(<a href="https://interviewquestions.tuteehub.com/tag/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</a>)=MR^(2)` <br/> `I_(s)=(1)/(2)I_(h) or I_(h)=2I_(s)` <br/> torque `<a href="https://interviewquestions.tuteehub.com/tag/tau-663951" style="font-weight:bold;" target="_blank" title="Click to know more about TAU">TAU</a> =I alpha=(tau)/(1)` <br/> `alpha_(s)=(tau)/(I_(s)) and a_(h)=(tau)/(I_(b))` <br/> <a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a> `I_(h) gt I_(s) rArr (I_(h))/(I_(s)) gt I` <br/> `:. alpha_(s) gt alpha_(h)` <br/> For the same torque, a solid cylinder gets more <a href="https://interviewquestions.tuteehub.com/tag/acceleration-13745" style="font-weight:bold;" target="_blank" title="Click to know more about ACCELERATION">ACCELERATION</a> than a hollow cylinder.</body></html> | |