Calculating Centripetal Force Error with Given Parameters

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SUMMARY

The discussion focuses on calculating the centripetal force (F_c) using the formula F_c = 4πmr/T^2, with specific parameters: mass (m) = 0.100 kg, radius (r) = 0.60 m, and 1/T^2 = 1.43 s^-2. Participants emphasize the importance of error propagation to determine the uncertainties in the calculated centripetal force. They suggest using variations in the input parameters to assess the extremes of the calculated force, thereby providing a range of accuracy for the final result.

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Awsom Guy
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Hello everybody,
I have a quick question:
Using this equation I can calculate centripetal force:
F_c=4πmr/T^2

If I say m=0.100, r=0.60, 1/t^2=1.43
Then how do I calculate the errors for F_c.
Any help is some help.
Thanks
 
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Awsom Guy said:
Hello everybody,
I have a quick question:
Using this equation I can calculate centripetal force:
F_c=4πmr/T^2

If I say m=0.100, r=0.60, 1/t^2=1.43
Then how do I calculate the errors for F_c.
Any help is some help.
Thanks

You need to do is error propagation. Wiki may be good place to look it up:

http://en.wikipedia.org/wiki/Propagation_of_uncertainty
 
Lots of different ways to calculate different errors.

To get extremes, you can plug in error variations for each variable that lead to an increase in your function, and alternatively, others that lead to a minimum of that function. By groups those extremes, you get an idea of the "accuracy" of your answer, the range of extreme variations.

Of course the chance (probability) that your errors will occur just that way is not as large as those errors occurring in a random way and partially cancelling...
 

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