A disc is rotating with angular velocity $\vec{\omega}$. A force $\vec{F}$ acts at a point whose position vector with respect to the axis of rotation is $\vec{r}$. The power associated with torque due to the force is given by ..........

  • A

    $(\vec{r} \times \vec{F}) \cdot \vec{\omega}$

  • B

    $(\vec{r} \times \vec{F}) \times \vec{\omega}$

  • C

    $\vec{r} \times(\vec{F}, \vec{\omega})$

  • D

    $\vec{r} \cdot(\vec{F} \times \vec{\omega})$

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