Angular acceleration of a pulley

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Homework Help Overview

The problem involves a pulley system with a falling bucket, focusing on calculating linear and angular acceleration, as well as the distance the bucket drops over a specified time. The subject area includes dynamics and rotational motion.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the use of equations for linear and angular acceleration, with some attempting calculations but encountering difficulties. Questions arise regarding the correct interpretation of variables and the moment of inertia of the pulley.

Discussion Status

There is ongoing exploration of the equations and their application, with some participants providing calculations and others questioning the definitions of variables. Guidance has been offered regarding the moment of inertia, but no consensus has been reached on the correct approach.

Contextual Notes

Participants are navigating the implications of gravity and the definitions of mass in the context of the equations being used. There is uncertainty about the relationship between the masses involved and their roles in the calculations.

ryty
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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
 
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Show your calculations.
 
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
 
ryty 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
(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.
 
what about gravity, should i still use my original equation?
 
After substituting the value of I, the acceleration a is
a = g/( 1 + M/2m)
 
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?
 
M is the mass of the pulley, because I is the moment of inertia of the pulley.
 

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