Question

A wheel of radius $10cm$ can rotate freely about its centre as shown in figure. A string wrapped over its rim is pulled by a force of $5N$. It is observed that the torque produces angular acceleration of $2rad$ $s^{-2}$ in the wheel. What is the moment of inertia of the wheel?

• A. 0.25 kg-$m^2$
• B. 0.45 kg-$m^2$
• C. 0.15 kg-$m^2$
• D. 0.16 kg-$m^2$

Answer 1

The correct option is A 0.25 kg-$m^2$

$\begin{array}{c}\tau =I\alpha \\ \Rightarrow 5\left[\frac{10}{100}\right]=I.2\\ \Rightarrow I=\frac{5}{2\times 10}=0.25kg.m^2\\ \therefore Hence,\\ optionAiscorrectanswer.\end{array}$