Angular and linear acceleration of a falling bucket on a pulley

[ryty]

Homework Statement

A 2.70 kg bucket is attached to a disk-shaped pulley of radius 0.141 m and mass 0.792 kg. If the bucket is allowed to fall,
A- What is linear acceleration?
B- What is angular acceleration?
C- How far does the bucket drop in 1.5 s?

Homework Equations

a=g/(1+ (I/mr^2))
alpha=delta w/delta t

The Attempt at a Solution

i tried using both equations for a and b, but they both came up wrong

 

[rl.bhat]

Show your calculations.

 

[ryty]

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

 

[rl.bhat]

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

(2.7*.141^2) This is only M*R^2. Bur in the relevant equation you need
I/mr^2, where I is the moment of inertia of the pulley. Find this value.

 

[ryty]

what about gravity, should i still use my original equation?

 

[rl.bhat]

After substituting the value of I, the acceleration a is
a = g/( 1 + M/2m)

 

[ryty]

which m is which mass, is M the mass of the bucket, pulley or both? and is m the mass of the bucket, pulley or both?

 

[rl.bhat]

M is the mass of the pulley, because I is the moment of inertia of the pulley.