Mistake in Dynamics Circular Problem's Solution

AI Thread Summary
The discussion revolves around a mistake in the solution to a dynamics circular problem, specifically regarding the radius and tension calculations. The user initially calculated the radius (R) as 0.95m but later confirmed it should be reported as 0.955m to maintain three significant figures. The tension (T) was calculated as 9.21N, while the reference solution stated 9.16N, which was clarified to be correct when using the accurate radius. The consensus is that the reported radius in the problem is incorrect, likely due to a typographical error. Overall, the calculations align correctly when significant figures are properly considered.
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Please look at pictures.
I do not understand the solutions;

Here is how I find length of string:
5m/s*1.2s/rev=6m/rev=circumference=2piR
R=0.95m.


For the force:
T=mv^2/r= 0.350 kg *5^2/0.95= 9.21N They got 9.16N?
 

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The numbers in the problem are stated to 3 significant figures. So, make sure you keep at least 3 significant figures in your intermediate calculations. What do you get for R to 3 significant figures?
 
Well the answer I got is 0.95m which is almost twice as big as the radius they found.
I keep all my sig figs on my calculator.
 
I don't know what is going on! :O
 
You got R = .95 m. That has only 2 significant figures. What do you get to 3 significant figures?

When you calculated T, it looks like you used r = .95 m. Again, only 2 significant figures for r. What do you get for T if you use a value for r that is accurate to 3 significant figures?
 
OK, I did not see the answer they had for R. Their answer is wrong, yours is right. But you should give it to 3 significant figures.
 
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R=0.955m.
T=9.16N. You were right! Ok. This was my bad.
What about the radius? The radius they report is definitely wrong?
 
Perfect! Everything works out great!
 
Good!
 
  • #10
their radius is mistyped- probably 4 was meant to be a 9...
as for the rest, follow TSny's post
 
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