Formula for Calculating Acceleration of a Block on a Pulley: Homework Help"

AI Thread Summary
To calculate the acceleration of a block on a pulley, one must consider the distance fallen (D) and the time taken (t). The relevant kinematic equation is X1 = X0 + v0t + 1/2at^2, where X1 equals D. The initial velocity (v0) is zero since the block is released from rest. Alternatively, the conservation of energy can be applied to analyze the system. Understanding these principles is crucial for deriving the correct formula for acceleration.
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Homework Statement


A pulley is used in an experiment. A small block is attached to a string, the other end of which is attached to a pulley and wrapped around it several times. The block is released from rest and takes time t to fall the distance D to the floor. Using quantities given in the problem, express a formula that could be used to calculate the acceleration of the block.

Homework Equations


v1=v0 + at? v1= v0 + gt?

The Attempt at a Solution


i tried to put that into terms of a
a=(v0+t)/v1 but i know that i am way off because there is nothing about distance in there and just seems wrong. i am also confused, is this a freely falling object or not because the rope is wound around the pulley.
 
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Maybe you want to consider X1=Xo+vt+1/2at^2 where X1 = D. Since it is released from a certain point, you should know what the initial velocity is.Alternatively you can consider conservation of energy. :biggrin:
 

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