Atwood Machine Lab calculations

In summary, the conversation revolves around finding acceleration due to gravity using given values of mass, distance traveled, and time traveled. The attempt at a solution involves using two equations, one for measured acceleration and one for theoretical acceleration, but the calculated values do not match the expected value of 9.8m/s^2. The conversation ends with a suggestion that there may be unwanted resistance in the pulley system affecting the results.
  • #1
~christina~
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Homework Statement


My results are coming out funny and I was wondering if I was doing something wrong.
I have to find acceleration due to gravity.

one of my values ...

m2 (decending mass) = 60g
m1(ascending mass)= 50g

distance traveled= 95.3cm or .953m

time traveled average= 19.60s

total mass (m1 + m2)= 110g


Homework Equations


am (measured)= 2y/t^2

at(theoretical) = (m2-m1)g/(m1 + m2)


The Attempt at a Solution



well I try to find g from the am (or measured acceleration) by using the am and plugging into the theoretical accleration (at) equation but find g instead of a.

am= 2(.953m)/(19.60s)^2
am= 0.00496m/s^2

then plugging into the at equation..

am(m1+m2)/ (m2-m1)= g

[0.00496m/s^2 (110g)]/ 10g= 0.54m/s^2 ===> this is so not 9.8m/s^2..

Basically that's it..except I also find the theoretical acelleration from using 9.8m/s^2 which would be the ideal and find that but I get...

at= (m2-m1)g/ (m1 + m2)

at= (10g)(9.8m/s^2) / (110)= .891m/s^2 for acceration.


I'm supposed to ignore the friction..

I really don't know why it comes out like this..Am I doing anything incorrectly??
I have to get this right or explain why it went wrong since this is for a lab report.

Thank You .
 
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  • #2
You seem to be doing the analysis correctly. I'd guess that there was some sort of unwanted resistance in the pulley system, because 19.6 seconds is a long time to travel 1 meter.
 
  • #3
Oh..okay Thank Kurdt! =)
 

FAQ: Atwood Machine Lab calculations

What is an Atwood Machine?

An Atwood Machine is a simple mechanical device used to study the principles of motion and acceleration. It consists of two masses connected by a string or rope that passes over a pulley, allowing one mass to descend while the other rises.

What are the important equations used in Atwood Machine Lab calculations?

The main equations used in Atwood Machine Lab calculations are Newton's Second Law of Motion (F=ma), the equation for gravitational force (Fg=mg), and the equation for acceleration (a=(m1-m2)g/(m1+m2)).

How do you calculate the acceleration of an Atwood Machine?

To calculate the acceleration of an Atwood Machine, you can use the equation a=(m1-m2)g/(m1+m2), where m1 and m2 are the masses of the two objects and g is the acceleration due to gravity (9.8 m/s²).

What factors affect the acceleration of an Atwood Machine?

The acceleration of an Atwood Machine is affected by the difference in masses between the two objects, the mass of the pulley, and the amount of friction in the system. It is also affected by external factors such as air resistance and the strength of the string or rope.

How can you use an Atwood Machine to study the relationship between mass and acceleration?

An Atwood Machine can be used to study the relationship between mass and acceleration by varying the masses of the objects and observing how it affects the acceleration of the system. By keeping the mass of one object constant and changing the mass of the other, you can see how the acceleration changes in response.

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