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Finding the Density of an Aluminium Block. Uncertainty Included. Measurements. Mean value and Uncertainty. LENGTH Mean value = 8.03 + 8.02 + 8.04 = 8.03 cm 3 Uncertainty = 8.04 – 8.02 = ± 0.01 cm 2 Percentage Uncertainty = 0.01 = 0.12% 8.03.
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Finding the Density of an Aluminium Block Uncertainty Included
Mean value and Uncertainty LENGTH Mean value = 8.03 + 8.02 + 8.04 = 8.03 cm 3 Uncertainty = 8.04 – 8.02 = ±0.01 cm 2 Percentage Uncertainty = 0.01 = 0.12% 8.03
Mean value and Uncertainty WIDTH Mean value = 5.01 + 5.03 + 5.03 = 5.02 cm 3 Uncertainty = 5.03 – 5.01 = ± 0.01 cm 2 Percentage Uncertainty = 0.01 = 0.199% = 0.2% 5.02
Mean value and Uncertainty BREADTH Mean value = 5.00 + 5.00 + 5.00 = 5.00 cm 3 Uncertainty = ± 0.01 cm Percentage Uncertainty = 0.01 = 0.20% 5.00
Mean value and Uncertainty MASS Value = 543.02g Uncertainty = ± 0.01g Percentage Uncertainty = 0.01 = 0.0018% = 0.00% 543.02
Results DENSITY ρ = m/V = 543.02 / (8.03 x 5.02 x 5.00) ρ = 2.694 gcm-3
Uncertainty TOTAL UNCERTAINTY Total Uncertainty = 0.12% + 0.20% + 0.20% + 0.00% = 0.52% UNCERTAINTY OF ANSWER Uncertainty = 0.52 x 2.694 = ± 0.01 gcm-3 100
Answer Density = 2.69 ± 0.01 gcm-3 True Density = 2.70 gcm-3