Calculating Acceleration and Error for a Ball Rolling Down an Inclined Plane

AI Thread Summary
To calculate the acceleration of a ball rolling down an inclined plane, the formula a = 2S/t² is used, where S is the distance covered and t is the time taken. The distance covered is 0.95 m with an error of ±0.05 cm, and the time taken is 1.19 s with an error of ±0.01 s. A common mistake noted is not squaring the time in the acceleration formula. Error analysis is crucial and can be approached in various ways, such as using quadrature. Completing the calculations correctly will yield both the acceleration and the associated error.
dhamaniasad
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Homework Statement


Calculate the acceleration of a ball rolling down an inclined plane and also note the error.
I am going to solve it myself, so I will just give one sample.
Distance covered by ball(error : +- 0.05 cm)
.95m
Time taken(error : +- 0.01 s)
1.19s
Acceleration(with error)
Have to calculate

Homework Equations



a=2S/t2

The Attempt at a Solution


I tried doing .95/1.19, that's change in velocity upon time, but that doesn't include the errors that way.
Someone please tell me of an easy way to solve this.
 
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Your error analysis will be done separately. It will depend on how your want to analyze your errors (i.e. in quadrature, etc.). You have solved for acceleration (although you missed ^2 on your time). Now solve for the error and your golden!
 

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