Measurements with Uncertainty

Measurements with Uncertainty - Measurements with...

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Use your brain when taking measurements! Measurements with Uncertainty How can we estimate the size of the brain?
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Now how do you measure brain size? make a model. ..
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Our “carrot brain” will give us some measurements
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Our brain model We will take three measurements of the diameter and average them
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A ruler works well- we can measure size in cm The first diameter measurement
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Diameter #1 in more detail
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Diameter #2
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Diameter #3
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Therefore the Circumference C = π ( d ± e d ) C = π d ± π e d C = π d ±e c Circumference C = π d d is the Diameter ± Uncertainty Or d ± e d
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Calculating the Average Diameter and its’ uncertainty Diameter of the Carrot Brain Diameter (cm) Uncertainty (±cm) Instrumental Uncertainty (±cm) 1 13.2 0.6 ± 0.05 2 13.9 0.6 3 12.7 0.6 Ave 13.27 cm Avg Diameter = AVERAGE(B4:B6) Range = 13.9 - 12.7 = 1.2 cm Uncertainty in each diameter =Range/2=.6 cm Uncertainty in the average Diameter (cm) e d = Range÷2 3 = D10/(2*SQRT(3)) e d = 0.35 Circumference (cm) C = π * (Avg. Diameter) C = PI()*B8 = 41.68 Uncertainty in Circumference (cm) e c = ( π *e d ) e c = PI()*C16 = 1.09
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This note was uploaded on 12/14/2009 for the course PHYS PHYS-102 taught by Professor Kikkawa during the Spring '09 term at UPenn.

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Measurements with Uncertainty - Measurements with...

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