To solve this problem it is necessary to apply the expressions related to the calculation of angular acceleration in cylinders as well as the calculation of linear acceleration in these bodies.
By definition we know that the angular acceleration in a cylinder is given by

Where,
= Coefficient of kinetic friction
g = Gravitational acceleration
r= Radius
= Angle of inclination
While the tangential or linear acceleration is given by,

ANGULAR ACCELERATION, replacing the values that we have



LINEAR ACCELERATION, replacing the values that we have,


Therefore the linear acceleration of the solid cylinder is