(2.7*.141^2) This is only M*R^2. Bur in the relevant equation you needryty said:9.8/(1+(2.7*.141^2)=4.9
but this didnt work for either answer, and i don't know how to get time out of this, so I am not real sure if you can use the second equation
Angular acceleration of a pulley refers to the rate of change of the angular velocity of a pulley. It is a measure of how quickly the pulley is accelerating or decelerating in its circular motion.
Angular acceleration of a pulley can be calculated by dividing the change in angular velocity by the change in time. This can be represented by the formula α = (ω2 - ω1) / (t2 - t1), where α is the angular acceleration, ω is the angular velocity, and t is the time.
The unit of measurement for angular acceleration of a pulley is radians per second squared (rad/s^2). This unit represents the change in angular velocity per unit of time.
The angular acceleration of a pulley is affected by the applied torque, the moment of inertia of the pulley, and any external forces acting on the pulley. The direction of the applied torque also affects the direction of the angular acceleration.
The angular acceleration of a pulley can impact the motion of objects connected to it by changing the speed and direction of their linear motion. This can be seen in systems such as a pulley and weight system, where the angular acceleration of the pulley can cause the weight to accelerate or decelerate.