- #1
Soaring Crane
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The following was gathered in an experiment.
r(m)----- N1------N2-----N3----N4-------N5---N_avg---delta N
0.001---131------139---175---140-----158----148.6----15.882
0.002----90-------96---102-----87------85----92------6.228
0.003----52-------53----73-----65------55----59.6----8.139
0.004----53-------53----55-----39------54----50.8----5.946
0.005----26-------45----34 -----24------36-----33-----7.537
delta N = stand. dev. of row
The formula that describes the relationship among these variables is:
Strength of source = (4.3*10^-10)*[N(r^2)/d^2] curies, where d was found to be 0.02 m and delta r = 5*10^-5 m.
Find the error (delta s) of strength of the source.
I took the derivative of the formula:
delta s = (4.3*10^-10)/(d^2)*[(deltaN/N) + (2deltar/r)]
However, I don't know where to go from here to find /\strength.
How do I used this formula with all the individual /\N's, N_avg values, and r values?
I did do a graph of r vs. N^-1/2 and found the slope of the regression line,
where strength = (4.3*10^-10)(slope)^2/(d^2) and the line's slope is equal to Nr^2. (The value d is a constant here.)
Please I really need help. Thank you for any replies.
r(m)----- N1------N2-----N3----N4-------N5---N_avg---delta N
0.001---131------139---175---140-----158----148.6----15.882
0.002----90-------96---102-----87------85----92------6.228
0.003----52-------53----73-----65------55----59.6----8.139
0.004----53-------53----55-----39------54----50.8----5.946
0.005----26-------45----34 -----24------36-----33-----7.537
delta N = stand. dev. of row
The formula that describes the relationship among these variables is:
Strength of source = (4.3*10^-10)*[N(r^2)/d^2] curies, where d was found to be 0.02 m and delta r = 5*10^-5 m.
Find the error (delta s) of strength of the source.
I took the derivative of the formula:
delta s = (4.3*10^-10)/(d^2)*[(deltaN/N) + (2deltar/r)]
However, I don't know where to go from here to find /\strength.
How do I used this formula with all the individual /\N's, N_avg values, and r values?
I did do a graph of r vs. N^-1/2 and found the slope of the regression line,
where strength = (4.3*10^-10)(slope)^2/(d^2) and the line's slope is equal to Nr^2. (The value d is a constant here.)
Please I really need help. Thank you for any replies.
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