Question

A wheel whose moment of inertia is $2kg{m}^2$ has an initial angular velocity of $50\text{rad}{s}^{-1}$ A constant torque of 10 N m acts on the wheel. The time in which the wheel is accelerated to $80\text{rad}{s}^{-1}$ is

• A. 12 s
• B. 3 s
• C. 6 s
• D. 9 s

Answer 1

The correct option is A 12 s

$T=I\left(\frac{{\omega }_2-{\omega }_1}{c}\right)=\frac{2}{10}\left(30\right)$
$=6\sec$