Question

A wheel of radius $R$ is free to rotate about its natural axis and $I$ is its moment of inertia. If a tangential force $F$ is applied on the wheel along its rim, then angular acceleration of wheel is:

• A. $IFR$
• B. $\frac{FR}{I}$
• C. $\frac{IF}{R}$
• D. $\frac{IR}{F}$

Answer 1

The correct option is B $\frac{FR}{I}$

The torque is given using the relation
$\overrightarrow{\tau }=\overrightarrow{F}\times \overrightarrow{R}$
or
$\tau =I\alpha$
or
$\alpha =\frac{FR}{I}$