# How far does the bucket fall?

[SOLVED] How far does the bucket fall?

## Homework Statement

A cylindrical pulley with a mass of M = 5.7 kg and a radius of r = 0.66 m is used to lower a
bucket with a mass of m = 2 kg into a well. The bucket starts from rest and falls for 3.5 s.
The acceleration of gravity is 9:8 m/s^2 :

## Homework Equations

Moment of Inertia
Newtons second law
W(f)=W(i)+(angular acceleration)(Time)

## The Attempt at a Solution

I = 1/2(5.7)(.66^2)=1.241

W(f)=0+(9.8?)(3.5) Is this the right equation to figure out how far the bucket dropped and does moment of Inertia have anything to effect it? would you do W(f) = 34.3, but do I multiply that by the moment of inertia?

I had to read this again: you are calling the angular speed of the pulley W(t), rather than $$\omega(t)$$. That's fine: we'll call the angular acceleration of the pulley A.