here the uncertainty in the measurement can be determined right from the volume analysis.
That is The length and diameter of the cylinder. The simplest way to determine the uncertainty of certain measurement is the graduation in the instrument used.
For example, if a scale measures the value l = 0.1 cm then the uncertainty is . Likewise, the uncertainty in diameter analysis is
thus the uncertainty in volume is
Likewise in trail 1:
the formula is,
uncertainty in mass is (assuming the mass scale is graduated as 1Kg to 5Kg with the smallest reading as 0.5 Kg)
thus error in center of mass =
Hence the uncertainty in density calculation is
this is the uncertainty in the density of the rod for Trail 1.
Likewise for the remaining trails the uncertainty can be calculated. the percentage error is (0.255/2916.93) x 100 = 0.008% error.
Since the error percentage in experiments should be less than 0.5%, thus the calculation for trail 1 is correct.
VOLUME CORRECTION:
volume =
therefore volume of rounded part = 0.0229 x 10-4
total volume = 1.31 + 0.0229 x 10-4 = 1.332 x 10-4 m3
now coming to the uncertainty part
uncertainty in volume changes to 0.98 + 0.032 m3
= 1.012 m3
density (uncertainty) = 0.255 Kg/ 1.012 m3
= 0.251 Kg/m3
here the uncertainty in the measurement can be determined right from the volume analysis.
That is The length and diameter of the cylinder. The simplest way to determine the uncertainty of certain measurement is the graduation in the instrument used.
For example, if a scale measures the value l = 0.1 cm then the uncertainty is . Likewise, the uncertainty in diameter analysis is
thus the uncertainty in volume is
Likewise in trail 1:
the formula is,
uncertainty in mass is (assuming the mass scale is graduated as 1Kg to 5Kg with the smallest reading as 0.5 Kg)
thus error in center of mass =
Hence the uncertainty in density calculation is
this is the uncertainty in the density of the rod for Trail 1.
Likewise for the remaining trails the uncertainty can be calculated. the percentage error is (0.255/2916.93) x 100 = 0.008% error.
Since the error percentage in experiments should be less than 0.5%, thus the calculation for trail 1 is correct.
VOLUME CORRECTION:
volume =
therefore volume of rounded part = 0.0229 x 10-4
total volume = 1.31 + 0.0229 x 10-4 = 1.332 x 10-4 m3
now coming to the uncertainty part
uncertainty in volume changes to 0.98 + 0.032 m3
= 1.012 m3
density (uncertainty) = 0.255 Kg/ 1.012 m3
= 0.251 Kg/m3
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