A 1.53-kg bucket hangs on a rope wrapped around a pulley of mass 7.07 kg and radius 66 cm. This pulley is frictionless in its axle and has the shape of a solid uniform disk. After the bucket has been released, what is the angular acceleration of the pulley

Explanation:

The pulley is modelled by the Newton's Laws, whose equation of equilibrium is:

Given that tension is equal to the weight of the bucket, the angular acceleration experimented by the pulley is:

ill do it for 100, also this isnt 80 its 40

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2