Calculating Centripetal Force Error with Given Parameters

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To calculate the errors for centripetal force using the equation F_c=4πmr/T^2, one must apply error propagation techniques. This involves determining the variations in each parameter (mass, radius, and time) that could affect the final result. By analyzing the extremes of these variations, one can estimate the range of possible values for F_c. It is important to note that the likelihood of errors occurring in a specific manner is less than the chance of them occurring randomly and potentially canceling each other out. Understanding these principles will enhance the accuracy of the calculated centripetal force.
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...
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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