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

In summary, to calculate the acceleration of a ball rolling down an inclined plane, use the formula a=2S/t^2, where S is the distance covered by the ball and t is the time taken. When considering errors, note that the distance has an error of +- 0.05 cm and the time has an error of +- 0.01 s. To include errors in your calculation, use the formula for error propagation and solve for the error in acceleration separately.
  • #1
dhamaniasad
1
0

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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  • #2
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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