91Ó°ÊÓ

Points on a rigid body have a centripetal (radial) acceleration$\mathbf{\left(}{\mathit{a}}_{\mathbf{r}\mathbf{a}\mathbf{d}}\mathbf{\right)}$ whenever the body is rotating but have a tangential acceleration$\mathbf{\left(}{\mathit{a}}_{\mathbf{tan}}\mathbf{\right)}$ only if the angular speed is changing. The values ofrole="math" localid="1663949317077" $\mathbf{\left(}{\mathit{a}}_{\mathbf{rad}}\mathbf{\right)}$ and$\mathbf{\left(}{\mathit{a}}_{\tan }\mathbf{\right)}$ at a point depend on the point’s distance from the rotation axis.

In the case of uniform motion, there is no tangential acceleration. Only radial acceleration exists in this case which is given by,

$a_{rad}=r{\mathrm{Ó\neg }}^2$

Here, r is the radius and$\mathrm{Ó\neg }$ is angular velocity.

It is given that the flywheel is rotating with constant angular speed $\mathrm{Ó\neg }$, hence this is the case of uniform circular motion, and in the uniform circular motion, there is no tangential acceleration at the rim of the flywheel. Only radial acceleration exists.

These accelerations are not constant and change as the point distance from the rotation axis changes. The direction of radial acceleration is towards the center.

Therefore, there is no tangential acceleration, only radial acceleration occur, these accelerations are not constant, and the direction of radial acceleration is towards the center.