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DATA |
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Δtheta_iinst = LC/2 = 0.25/2 = 0.125 = 0.1 | ||
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theta_i |
trial 1. | ||
| trial 2. | |||
| trial 3. | |||
| trial 4. | |||
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theta_ibest (average of the 4 above) |
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Δtheta_iinst
= 0.125 = 0.1 |
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(theta_imax –
theta_imin)/2
= |
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Δtheta_i (larger
of previous two.) = |
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| Below, compute nw = sin(theta_f)/sin (theta_i) = for each trial | |||
| Δtheta_iinst = LC/2 = 0.25/2 = 0.125 = 0.1 | |||
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trial 1. 52.25 | nw = |
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| trial 2. 52.75 | nw = | ||
| trial 3. 52.00 | nw = | ||
| trial 4. 52.50 | nw = | ||
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theta_fbest
(average of the 4 above)= |
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Δtheta_finst
=0.125 = 0.1 |
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(theta_fmax –
theta_fmin)/2 = |
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Δtheta_f (larger
of previous two.) = |
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average nw of 4 trials |
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| standard deviation of the mean | Sm of the mean = Standard Deviation/2 = | ||
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sin(theta_fbest)
/sin (theta_ibest)
= |
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| See formula at the top of the page |
Sp =
propagation of error uncertainty= a + b = [cos (theta_fbest ) /sin(theta_ibest)]*Δtheta_f + [nbest*cot(theta_ibest)* Δtheta_i |
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Percent error = |average nw
- nacc |*100%/nacc =
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| overall error = larger of Sm and Sp = | |||
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Compare: |average nw - nacc | 0 < overall error ? |
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