College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 8 - Rotational Motion and Equilibrium - Learning Path Questions and Exercises - Exercises - Page 306: 37

Answer

$1.5\times10^{5}Nm$

Work Step by Step

$\omega=\omega_{0}+at$, where a is angular acceleration. $2=0+a12$ $a=\frac{1}{6}rad/s^{2}$ Now, $I=\frac{1}{2}MR^{2}=\frac{1}{2}\times2000\times30^{2}=900000kgm^{2}$ Torque = $900000\times\frac{1}{6}=1.5\times10^{5}Nm$
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